US20070162152A1 - Artificial joints using agonist-antagonist actuators - Google Patents

Abstract

Artificial limbs and joints which behave like a biological limbs and joints employ a synthetic actuator which consume negligible power when exerting zero force, consume negligible power when outputting force at constant length (isometric) and while performing dissipative, nonconservative work, are capable of independently engaging flexion and extension tendon-like, series springs, are capable of independently varying joint position and stiffness, and exploit series elasticity for mechanical power amplification.

Description

CROSS REFERENCE TO RELATED APPLICATIONS
• This application is a non-provisional of U.S. patent application Ser. No. 60/751,680 filed on Dec. 19, 2005.
• This application is a continuation in part of U.S. patent application Ser. No. 11/395,448 entitled “Artificial human limbs and joints employing actuators, springs, and Variable-Damper Elements” filed on Mar. 31, 2006 by Hugh M. Herr, Daniel Joseph Paluska, and Peter Dilworth. application Ser. No. 11/395,448 claims the benefit of the filing date of U.S. Provisional patent application Ser. No. 60/666,876 filed on Mar. 31, 2005 and the benefit of the filing date of U.S. Provisional patent application Ser. No. 60/704,517 filed on Aug. 1, 2005.
• This application is also a continuation in part of U.S. patent application Ser. No. 11/499,853 entitled “Biomimetic motion and balance controllers for use in prosthetics, orthotics and robotics” filed on Aug. 4, 2006 by Hugh M. Herr, Andreas G. Hofmann, and Marko B. Popovic. application Ser. No. 11/499,853 claims the benefit of the filing date of, U.S. Provisional patent application Ser. No. 60/705,651 filed on Aug. 4, 2005.
• This application is also a continuation in part of U.S. patent application Ser. No. 11/495,140 entitled “An Artificial Ankle-Foot System with Spring, Variable-Damping, and Series-Elastic Actuator Components” filed on Jul. 29, 2006 by Hugh M. Herr, Samuel K. Au, Peter Dilworth, and Daniel Joseph Paluska. application Ser. No. 11/495,140 claims the benefit of the filing date of U.S. Provisional patent application Ser. No. 60/704,517 filed on Aug. 1, 2005 and was also a continuation in part of the above-noted application Ser. No. 11/395,448.
• This application is also a continuation in part of U.S. patent application Ser. No. 11/600,291 entitled “Exoskeletons for running and walking” filed on Nov. 15, 2006 by Hugh M. Herr, Conor Walsh, Daniel Joseph Paluska, Andrew Valiente, Kenneth Pasch, and William Grand. application Ser. No. 11/600,291 claims the benefit of the filing date of U.S. Provisional patent application Ser. No. 60/736,929 filed on Nov. 15, 2005 and is a continuation in part of the above noted applications Ser. Nos. 11/395,448, 11/499,853 and 11/495,140.
• The present application claims the benefit of the filing date of each of the foregoing patent applications and incorporates the disclosure of each of the foregoing applications herein by reference.
FIELD OF THE INVENTION
• This invention relates to artificial joints and limbs for use in prosthetic, orthotic or robotic devices.
BACKGROUND OF THE INVENTION
• Biomimetic Hybrid Actuators employed in biologically-inspired musculoskeletal architectures as described in the above noted U.S. patent application Ser. No. 11/395,448 employ an electric motor for supplying positive energy to and storing negative energy from an artificial joint or limb, as well as elastic elements such as springs, and controllable variable damper components, for passively storing and releasing energy and providing adaptive stiffness to accommodate level ground walking as well as movement on stairs and surfaces having different slopes.
• The above noted application Ser. No. 11/495,140 describes an artificial foot and ankle joint consisting of a curved leaf spring foot member that defines a heel extremity and a toe extremity, and a flexible elastic ankle member that connects said foot member for rotation at the ankle joint. An actuator motor applies torque to the ankle joint to orient the foot when it is not in contact with the support surface and to store energy in a catapult spring that is released along with the energy stored in the leaf spring to propel the wearer forward. A ribbon clutch prevents the foot member from rotating in one direction beyond a predetermined limit position, and a controllable damper is employed to lock the ankle joint or to absorb mechanical energy as needed. The controller and a sensing mechanisms control both the actuator motor and the controllable damper at different times during the walking cycle for level walking, stair ascent and stair descent.
• The above noted Application G-25 describes an exoskeleton worn by a human user consisting of a rigid pelvic harness worn about the waist of the user and exoskeleton leg structures each of which extends downwardly alongside one of the human user's legs. The leg structures include hip, knee and ankle joints connected by adjustable length thigh and shin members. The hip joint that attaches the thigh structure to the pelvic harness includes a passive spring or an active actuator to assist in lifting the exoskeleton and said human user with respect to the ground surface upon which the user is walking and to propel the exoskeleton and human user forward. A controllable damper operatively arresting the movement of the knee joint at controllable times during the waking cycle, and spring located at the ankle and foot member stores and releases energy during walking.
• The additional references listed below identify materials which are referred to in the description that follows. When cited, each reference is identified by a single number in brackets; for example, the first reference below is cited using the notation “{1 }.”
• • 1. Palmer, Michael. Sagittal Plane Characterization of Normal Human Ankle Function across a Range of Walking Gait Speeds. Massachusetts Institute of Technology Master's Thesis, 2002.
  • 2. Gates Deanna H., Characterizing ankle function during stair ascent, descent, and level walking for ankle prosthesis and orthosis design. Master thesis, Boston University, 2004.
  • 3. Hansen, A., Childress, D. Miff, S. Gard, S. and Mesplay, K., The human ankle during walking: implication for the design of biomimetic ankle prosthesis, Journal of Biomechanics, 2004 (In Press).
  • 4. Koganezawa, K. and Kato, I., Control aspects of artificial leg, IFAC Control Aspects of Biomedical Engineering, 1987, pp.71-85.
  • 5. Herr H, Wilkenfeld A. User-Adaptive Control of a Magnetorheological Prosthetic Knee. Industrial Robot: An International Journal 2003; 30: 42-55.
  • 6. Seymour Ron, Prosthetics and Orthotics: Lower limb and Spinal, Lippincott Williams & Wilkins, 2002.
  • 7. G. A. Pratt and M. M. Williamson, “Series Elastic Actuators,” presented at 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems, Pittsburgh, Pa., 1995.
  • 8. Inman V T, Ralston H J, Todd F. Human walking. Baltimore: Williams and Wilkins; 1981.
  • 9. Hof. A. L. Geelen B. A., and Berg, J. W. Van den, “Calf muscle moment, work and efficiency in level walking; role of series elasticity,” Journal of Biomechanics, Vol 16, No. 7, pp. 523-537, 1983.
  • 10. Gregoire, L., and et al, Role of mono- and bi-articular muscles in explosive movements, International Journal of Sports Medicine 5, 614-630.
  • 11. Endo, K., Paluska D., Herr, H. A quasi-passive model of human leg function in level-ground walking.IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS); Oct. 9-16, 2006; Beijing, China.
• As noted in references {1 }, {2 }, {3 }, and {4} above, an artificial limb system that mimics a biological limb ideally needs to fulfill a diverse set of requirements. The artificial system must be a reasonable weight and have a natural morphological shape, but still have an operational time between refueling or battery recharges of at least one full day. The system must also be capable of varying its position, stiffness, damping and nonconservative motive power in a comparable manner to that of a normal, healthy biological limb. Still further, the system must be adaptive, changing its characteristics given such environmental disturbances as walking speed and terrain variation. The current invention describes a novel actuator and limb architecture capable of achieving these many requirements.
• From recent biomechanical studies described in references {1 }, {2 } and {3 } above, researchers have determined that biological joints have a number of features. Among these are:
• • (a) the ability to vary stiffness and damping;
  • (b) the ability to generate large amounts of positive mechanical work (nonconservative motive output); and
  • (c) the ability to produce large amounts of power and torque when needed.
• An example of the use of more than one control strategy in a single biological joint is the ankle. See {1 } and {2}. For level ground ambulation, the ankle behaves as a variable stiffness device during the early to midstance period, storing and releasing impact energies. Throughout terminal stance, the ankle acts as a torque source to power the body forward. In distinction, the ankle varies damping rather than stiffness during the early stance period of stair descent. These biomechanical findings suggest that in order to mimic the actual behavior of a human joint or joints, stiffness, damping, and nonconservative motive power must be actively controlled in the context of an efficient, high cycle-life, quiet and cosmetic biomimetic limb system, be it for a prosthetic or orthotic device. This is also the case for a biomimetic robot limb since it will need to satisfy the same mechanical and physical laws as its biological counterpart, and will benefit from the same techniques for power and weight savings.
• The current state of the art in prosthetic leg systems include a knee joint that can vary its damping via magnetorheological fluid as described in {5}, and a carbon fiber ankle which has no active control, but that can store energy in a spring structure for return at a later point in the gait cycle e.g. the Flex-Foot {4} or the Seattle-Lite {6}. None of these systems are able to add energy during the stride to help keep the body moving forward or to reduce impact losses at heel strike. In the case of legged robotic systems, the use of the Series Elastic Actuator (SEA) enables robotic joints to control their position and torque, such that energy may be added to the system as needed. See {7}. In addition, the SEA can emulate a physical spring or damper by applying torques based on the position or velocity of the joint. However, for most applications, the SEA requires a tremendous amount of electric power for its operation, resulting in a limited operational life or an overly large power supply. Robotic joint designs in general use purely active components and often do not conserve electrical power through the use of variable-stiffness and variable-damping devices.
SUMMARY OF THE INVENTION
• The following summary provides a simplified introduction to some aspects of the invention as a prelude to the more detailed description that is presented later, but is not intended to define or delineate the scope of the invention.
• In this specification and the claims, the following terms have the following meanings:
• actuator: see the definition of “motor” below;
• • agonist: A contracting element that is resisted or counteracted by another element, the antagonist;
  • agonist-antagonist actuator: a mechanism comprising (at least) two actuators that operate in opposition to one another: an agonist actuator that, when energized, draws two elements together and an antagonist actuator that, when energized, urges the two elements apart;
  • antagonist: An expanding element that is resisted or counteracted by another element, the agonist;
  • biomimetic: a man-made structure or mechanism that mimics the properties and behavior of biological structures or mechanisms, such as joints or limbs;
  • dorsiflexion: bending the ankle joint so that the end of the foot moves upward;
  • elastic: capable of resuming an original shape after deformation by stretching or compression;
  • extension: A bending movement around a joint in a limb that increases the angle between the bones of the limb at the joint;
  • flexion: A bending movement around a joint in a limb that decreases the angle between the bones of the limb at the joint;
  • motor: an active element that produces or imparts motion by converting supplied energy into mechanical energy, including electric, pneumatic or hydraulic motors and actuators;
  • plantarflexion: bending the ankle joint so that the end of the foot moves downward;
  • spring: an elastic device, such as a metal coil or leaf structure, which regains its original shape after being compressed or extended.
• For an artificial joint to behave like a biological joint, a synthetic actuator must have the following properties:
• 1) The actuator must consume negligible power when exerting zero force. Near the equilibrium length of muscle (peak of active tension-length curve), the passive tension is typically zero. Thus a muscle-actuated joint goes limp when the muscles are not electrically stimulated.
• 2) The actuator must consume negligible power when outputting force at constant length (isometric) and while performing dissipative, nonconservative work. Muscle tissue is very efficient for isometric and dissipative control modes.
• 3) The actuator must be capable of independently engaging flexion and extension tendon-like, series springs. Since biological joints have at least one flexor muscle and at least one extensor muscle, the time at which a flexor tendon becomes taught or engaged can be independent of the time at which an extensor tendon becomes engaged. As an example, with a muscle-actuated joint, the elastic energy from one tendon can be released as a second tendon is being elongated.
• 4) The actuator must be capable of independently varying joint position and stiffness. Through co- contraction between a muscle flexor and extensor, joint stiffness can be modulated without changing joint position. Further, joint position can be varied while keeping joint stiffness constant.
• 5) The actuator must be capable of exploiting series elasticity for mechanical power amplification, or a “catapult” control modality. For motion tasks that require high mechanical power, muscle-tendon units in animals and humans often employ a catapult control where the muscle belly stretches the series tendon, and later that stored elastic energy is released to achieve relatively higher joint powers than would be possible if the muscle belly were to generate that power directly.
BRIEF DESCRIPTION OF THE DRAWINGS
• In the detailed description which follows, frequent reference will be made to the attached drawings, in which:
• FIG. 1 depicts the various subdivisions of the stance phase of walking;
• FIGS. 2A, 2B and2C show torque vs. angle plots in level-ground walking for slow speed, normal and fast walking;
• FIG. 3 illustrates human ankle biomechanics for stair ascent;
• FIG. 4 illustrates human ankle-foot biomechanics for stair descent;
• FIGS. 5A and 5B illustrate the manner in which knee angle and knee power respectively vary during the walking cycle for level ground walking;
• FIGS. 6A and 6B are posterior and side elevational views respectively of an agonist-antagonist actuator embodying the invention;
• FIGS. 7A and 7B are posterior and side elevational views of an agonist-antagonist actuator mechanism implementing an artificial ankle;
• FIGS. 8A and 8B are posterior and side elevational views of agonist-antagonist actuator mechanisms implementing an artificial knee;
• FIGS. 9A and 9B are side elevational and perspective views of an agonist-antagonist actuator mechanism positioned on both sides of the joint axis;
• FIGS. 10A and 10B are posterior and side elevational views of an agonist-antagonist actuator mechanism using motor and spring combinations;
• FIGS. 11A shows a model of leg prothesis employing series-elastic clutches at the hip, knee and ankle joints;
• FIGS. 11B and 11C are graphs comparing the behaviors of biological ankle and knee joints respectively with the modeled joints ofFIG. 11A;
• FIGS. 12A, 12B and12C are plots of the mechanical power of each model element is versus percentage gait cycle for ankle, knee and hip, respectively;
• FIGS. 13A shows the major components of the transtibial system are shown;
• FIGS. 13B shows the monoarticular ankle mechanism ofFIG. 13A in more detail;
• FIGS. 13C and 13D show elevational and schematic views respectively of the bi-articular ankle knee mechanism ofFIG. 13A;
• FIGS. 14A and 14B shows the major components of an artificial ankle and knee system;
• FIGS. 14C is a schematic diagram of the artificial ankle and knee system seen inFIGS. 14A and 14B; and
• FIG. 14D shows the knee's variable moment arm (VMA) device (seen at the top ofFIGS. 14A and 14B) in more detail.
DETAILED DESCRIPTION
• In the construction of a biologically realistic limb system that is high performance, light weight, quiet and power efficient, a agonist-antagonist actuator design is proposed herein comprising a plurality of actuators and series elastic structures. Since it is desirable to minimize the overall weight of the limb design, the efficiency of the agonist-antagonist actuator design is critical, especially given the poor energy density of current power supplies, e.g. lithium-ion battery technology. By understanding human biomechanics, the lightest, most energy efficient agonist- antagonist actuator design can be achieved.
• In the next section, the key features of biomechanical systems are highlighted. A more complete description of biomechanical systems is found in the patent applications cited in the foregoing “Cross Reference to Related Applications” whose disclosures are incorporated herein by reference.
• Joint Biomechanics: The Human Ankle
• Understanding normal walking biomechanics provides the basis for the design and development of the agonist-antagonist actuator design. Specifically, the function of human ankle under sagittal plane rotation is described for different locomotor conditions including level-ground walking and stair/slope ascent and descent. In addition, the function of the human knee during level ground walking is described. From these biomechanical descriptions, the justifications for key mechanical components and configurations of the actuator invention are established.
• Level-Ground Walking
• A level-ground walking gait cycle is typically defined as beginning with the heel strike of one foot seen at103 inFIG. 1 and ending at the next heel strike of the same foot seen at113. See {8}. The main subdivisions of the gait cycle are the stance phase (˜60%) and the swing phase (˜40%) which are illustrated inFIG. 1. The swing phase represents the portion of the gait cycle when the foot is off the ground. The stance phase begins at heel strike when the heel touches the floor and ends at toe off when the same foot rises from the ground surface. Additionally, we can further divide the stance phase into three sub- phases: Controlled Plantar Flexion (CP), Controlled Dorsiflexion (CD), and Powered Plantar Flexion (PP).
• Detailed descriptions for each phase and the corresponding ankle functions are described inFIG. 1. CP begins at heel-strike103 and ends at foot-flat shown at105. Simply speaking, CP describes the process by which the heel and forefoot initially make contact with the ground. In {1} and {3}, researchers showed that CP ankle joint behavior is consistent with a linear spring being loaded or stretched where joint torque is proportional to joint position.
• During the loading process, the spring behavior is, however, variable; joint stiffness is continuously modulated by the body from step to step. After the CP period, the CD phase begins. InFIG. 2, the average torque versus angle curves are shown for 68 healthy, young participants walking on a level surface. As is shown, during CP (from103 to105), the ankle behaves as a linear spring of variable stiffness during the loading cycle, but the torque curve does not trace back topoint 1, but rather assumes higher torque values during the early period of CD.
• Ankle torque versus position during the CD period from105 to107 can often be described as a nonlinear spring being loaded or stretched where stiffness increases with increasing ankle position. It is noted that as walking speed increases, the extent to which the ankle behaves as a nonlinear spring increases, with the CD loading phase exhibiting distinct nonlinear behavior during fast walking (see fast walking,FIG. 2). The main function of the ankle during CD is to store elastic energy to propel the body upwards and forwards during the PP phase. See {9} and {3}.
• The PP phase begins at107 after CD and ends at the instant of toe-off shown at109. During PP in moderate to fast walking speeds, the ankle can be modeled as a catapult in series or in parallel with the CD spring or springs. Here the catapult component includes an actuator that does work on a series spring during the CD phase and/or during the first half of the PP phase. The catapult energy is then released along with the spring energy stored during the CD phase to achieve the high plantar flexion power during late stance. This catapult behavior is necessary because the work generated during PP is more than the negative work absorbed during the CP and CD phases for moderate to fast walking speeds as clearly seen inFIGS. 2A-2C. See {1}, {2}, {3} and {9}.
• FIGS. 2A, 2B and2C show torque vs. angle plots in level-ground walking for slow speed walking at 0.9 m/sec (FIG. 2A), normal walking speed at 1.25 m/sec (FIG. 2B) and fast walking at 1.79 m/sec. Only the stance period of a single foot is shown (heel strike to toe off).Point1 on the charts denotes heel strike,point2 foot flat,point3 peak dorsiflexion, andpoint4 toe off. Although during slow walking the loading curve (points2-3) is approximately equal to the unloading curve (points3-4), for higher walking speeds the torque assumes higher values during the unloading, PP phase (points3-4). Hence, for walking speeds greater than 0.9 m/s (slow speed), the human ankle cannot be modeled as a series of coupled springs because the positive work performed by the ankle exceeds the negative work. It is noted that, as walking speed increases, the degree of nonlinear behavior during CD (points2-3) increases along with the total amount of positive work production during PP (points3-4), consistent with a catapult model where the soleus muscle belly slowly elongates the series Achilles tendon spring during CD, increasing the slope of the torque versus angle curve and the subsequent positive power output of the ankle.
• Stair Ascent and Descent
• FIG. 3 illustrates human ankle biomechanics for stair ascent; The first phase of stair ascent is called Controlled Dorsiflexion1 (CD1), which begins with foot strike in a dorsiflexed position at201 and continues to dorsiflex until the heel contacts the step surface at203. In this phase, the ankle can be modeled as a linear spring. The second phase is Powered Plantar flexion1 (PP1), which begins at the instant of foot flat (when the ankle reaches its maximum dorsiflexion) at203 and ends when dorsiflexion begins once again at205. The human ankle behaves as a torque actuator to provide extra energy to support the body weight. The third phase is Controlled Dorsiflexion2(CD2), in which the ankle dorsiflexes as seen at205 until heel-off at207. For that phase, the ankle can be modeled as a linear spring. The fourth and final phase is Powered Plantar flexion2 (PP2). Here the foot pushes off the step as seen at207, acting as a torque actuator in parallel with theCD2 spring to propel the body upwards and forwards until toe-off occurs at209 and the swing phase begins.
• FIG. 4 illustrates the human ankle-foot biomechanics for stair descent. The stance phase of stair descent is divided into three sub-phases: Controlled Dorsiflexion1 (CD1), Controlled Dorsiflexion2 (CD2), and Powered Plantar flexion (PP). CD1 begins at forefoot strike seen at303 and ends at foot-flat seen at305. In this phase, the human ankle can be modeled as a variable damper. In CD2, from foot flat at305, the ankle continues to dorsiflex forward until it reaches a maximum dorsiflexion posture at307. Here the ankle acts as a linear spring in series with a variable-damper designed to effectively control the amount of energy stored by the linear spring. During PP, beginning at307, the ankle plantar flexes until the foot lifts from the step at309. In this final phase, the ankle releases stored CD2 energy, propelling the body upwards and forwards. From toe off at309 until the next foot strike at313, the foot in the swing phase.
• Because the kinematic and kinetic patterns at the ankle during stair ascent/descent are significantly different from that of level-ground walking (see {2}), a description of such ankle-foot biomechanics seems appropriate. For stair ascent, the human ankle-foot can be effectively modeled using a combination of an actuator and a variable stiffness mechanism. However, for stair descent, variable damping needs also to be included for modeling the ankle-foot complex; the power absorbed by the human ankle is much greater during stair descent than the power released by 2.3 to 11.2 J/kg. See reference {2}.
• Joint Biomechanics: The Human Knee
• There are five distinct phases to knee operation throughout a level-ground walking cycle as illustrated inFIG. 5A and 5B. See reference {8}.FIG. 5A shows how the knee angle varies during the walking cycle, andFIG. 5B shows how knee power varies. As seen inFIG. 5A, the stance phase of walking can be divided into three sub-phases: Stance Flexion, Stance Extension, and Pre-Swing. The swing phase is divided into two phases: Swing Flexion and Swing Extension. As seen inFIG. 5B, for level ground walking, the human knee does more negative work than positive work.
• Beginning at heel strike indicated at403, the stance knee begins to flex slightly. This flexion period, called the Stance Flexion phase, allows for shock absorption upon impact as well as to keep the body's center of mass at a more constant vertical level throughout the stance period. During this phase, the knee acts as a spring, storing energy in preparation for the Stance Extension phase.
• After maximum flexion is reached in the stance knee at404, the joint begins to extend, until maximum extension is reached as indicated at406. This knee extension period is called the Stance Extension phase. Throughout the first ˜60% of Stance Extension, the knee acts as a spring, releasing the stored energy from the Stance Flexion phase of gait. This first release of energy corresponds to power output indicated at501 in the graph at the bottom ofFIG. 5B. During the last ˜30% of Stance Extension, the knee absorbs energy in a second spring and then that energy is released during the next gait phase, or Pre-Swing.
• During late stance or Pre-Swing from406 to407, the knee of the supporting leg begins its rapid flexion period in preparation for the swing phase. During early Pre-Swing, as the knee begins to flex in preparation for toe- off, the stored elastic energy from Stance Extension is released. This second release of energy corresponds to power output seen at503 inFIG. 5B.
• As the hip is flexed, and the knee has reached a certain angle in Pre-Swing, the leg leaves the ground at407 and the knee continues to flex. At toe-off407, the Swing Flexion phase of gait begins. Throughout this period, knee power is generally negative where the knee's torque impedes knee rotational velocity. During terminal Swing Flexion, the knee can be modeled as an extension spring in series with a variable damper, storing a small amount of energy in preparation for early Swing Extension.
• After reaching a maximum flexion angle during swing at408, the knee begins to extend forward. During the early Swing Extension period, the spring energy stored during late Swing Flexion is then released, resulting in power output seen at505 inFIG. 5B. During the remainder of Swing Extension, the human knee outputs negative power (absorbing energy) to decelerate the swinging leg in preparation for the next stance period. During terminal Swing Extension, the knee can be modeled as a flexion spring in series with a variable damper, storing a small amount of energy in preparation for early stance (at507). After the knee has reached full extension, the foot once again is placed on the ground, and the next walking cycle begins.
• An agonist-antagonist actuator described below implements these muscle-like actuation properties. The actuator comprises a plurality of springs, mechanical transmissions, and active elements where each spring is in series with an active element via a transmission, and each spring-transmission-active element combination are in parallel and capable of opposing one another in an agonist-antagonist manner. The components of the agonist-antagonist actuator are listed in Table 1 with their functional purposes outlined.
• The Agonist-Antagonist Actuator: An Example
• InFIG. 6, one implementation of the actuator is shown as an example. For this particular actuator form, the active element comprises a motor in parallel with a variable damper. The flexion and extension motors can control the position of flexion and extension nuts, respectively, via ballscrew mechanical transmissions. As seen inFIG. 6, two side-by-side actuators are attached at their upper ends to a cross-rod601 which provides a connection point to theupper link603 of the joint mechanism. Theupper link603 is connected to thelower link605 at a joint607.
• The actuator that extends along the left-hand side of the upper andlower links603 and605 as seen inFIG. 6 includes anextension nut611 that engages with and compresses anextension spring613. Theextension spring613 is positioned between theextension nut611 and alinear bearing617 which is attached to thelower link605. An extension ballscrew seen at621 connected via a gearbox (not shown) to the armature of anextension motor623. An extensionnut guidance shaft625 is attached to the case of themotor623 and extends downwardly from themotor623 through theextension nut611 and thelinear bearing617 to ashaft endcap629. Theguidance shaft625 prevents the extension nut from rotating so that, as theextension motor623 rotates theextension ballscrew621, theextension nut611 moves longitudinally with respect to the cross-rod601 and themotor623, varying the joint angle at which the extension nut engages with theextension spring613. Thus, theextension motor623 can compress theextension spring613 as theextension nut611 is driven downward to increase the length of the actuator and extend (increase) the joint angle.
• The actuator that extends along the right-hand side of the upper andlower links603 and605 as seen inFIG. 6 includes aflexion nut631 that engages with and compresses aflexion spring633. Theflexion spring633 is positioned between theflexion nut631 and alinear bearing637 which is attached to thelower link605. A flexion ballscrew seen at641 connected via a gearbox (not shown) to the armature of aflexion motor643. A flexionnut guidance shaft645 is attached to the case of theflexion motor643 and extends downwardly from themotor643 through thelinear bearing637 and theflexion nut631 and the to aflexion shaft endcap649. The flexionnut guidance shaft645 prevents the extension nut from rotating so that, as theflexion motor643 rotates theflexion ballscrew641, theflexion nut631 moves longitudinally with respect to the cross-rod601 and theflexion motor643, varying the joint angle at which the flexion nut engages with theflexion spring633. Thus, theflexion motor623 can compress the flexion spring-633 as theflexion nut631 is driven upwardly to decrease the length of the actuator and decrease the joint angle during flexion.
• A variable damper is connected in parallel with each of the motors. An extension variable damper seen at651 is connected in parallel with theextension motor623 and a flexion variable damper seen at653 is connected in parallel with theflexion motor643.
• Through the independent control of flexion and extension nut positions, the actuator length at which the flexion and extension springs are engaged can be independently controlled (Muscle-Like Property3). Furthermore, the flexion and extension motors can compress each series spring simultaneously without the joint rotating where each spring exerts an equal but oppositely opposed force.
• If the series springs are hardening springs where spring stiffness increases with increasing compression, joint stiffness can be effectively controlled through this agonist-antagonist motor action (Muscle-like property4). After the motors co-contract and compress the flexion and extension springs to a desired spring deflection and a desired actuator stiffness, to maintain that stiffness, the variable dampers can output high damping levels to impede ballscrew rotation at low power requirements.
• Since each motor is in parallel with each variable damper, both motors can be turned off while still maintaining spring deflection and overall actuator stiffness (Muscle-Like Property2). The actuator can also dissipate mechanical energy at low power (Muscle-Like Property2).
• In the actuator form ofFIG. 6, the ballscrew transmissions are backdrivable. Hence, when an external agent compresses or lengthens the actuator, energy can be dissipated using the variable dampers. Since each variable damper is in parallel with each motor, during such a dissipative action, the motors can act as generators to store electrical power for later use. Finally, zero actuator force can be achieved at zero power consumption (Muscle-Like Property1). If the motors move the ballscrew nuts away from their respective spring element, the actuator will output zero force and no energy is required to maintain that force.
• Component Implementations
• Active Element. Depending on the application, each active element could be either a motor or a variable damper/clutch, or a combination of these elements. If the active element includes a variable damper/clutch, it could be implemented using hydraulic, pneumatic, friction, electrorheological, magnetorhelogical, hysteresis brake, or magnetic particle brake damping/clutching strategies. The preferred mechanism for damping control is a hysteresis brake because the zero power damping level is negligible. This feature is important because the variable damper is behind the mechanical transmission where any strain rate dependent, low-end viscous or frictional effect would likely be amplified.
• If the active element includes a motor, it could be any electric motor, brushed or brushless. It could also be a hydraulic or pneumatic cylinder or other mechanical power-producing elements such as artificial muscle, piezoelectrics or nitinol wire.
• Spring. The springs could be implemented as linear or torsional spring elements. They may be metal die springs, carbon fiber leaf springs, elastomeric compression springs,or pneumatic springs. For the preferred implementations described in this specification, the springs are die compression springs.
• Mechanical Transmission. The mechanical transmissions could be implemented as linear or torsional transmission elements. They could be harmonic drives, ballscrew drives, leadscrew drives, or any other mechanical transmission known in the art. For the case where the active element and the series spring are both linear or both rotary elements, and no gear reduction is deemed necessary, the transmission would simply be a material linkage, connecting spring to active element. For example, if the active element is a linear artificial muscle, and the spring a linear, elastomeric element, then the spring would simply be attached directly to the artificial muscle. For the preferred embodiments described inFIGS. 6-10, the mechanical transmissions are ballscrew transmissions.

  TABLE 1
  Mechanical components of the Agonist-Antagonist
  Actuator System

  Component	Function
  Spring	Store and release energy, absorb shock, provide
  	stiffness
  Active Element	Control positive and negative work and power,
  	control effective spring equilibrium length and
  	stiffness, generate electrical power, clutch to
  	engage series elasticity
  Mechanical Transmission	Couple spring to active element, offer gear
  	reduction between active element and output,
  	convert rotary active element to linear spring
  	element

• Sensing Implementations
• For the Agonist-antagonist actuator to function properly, there are various sensors required to measure the state of the various actuator components. The sensors required to enable general actuator operation and control are:
• • 1) Position sensors located at the biomimetic joint axis to measure joint angle (a rotary potentiometer), and at the active element (motor/variable damper/clutch) rotor to measure total displacement of the element's drive shaft and additionally the active element's velocity (a shaft encoder).
  • 2) A force sensor (strain gauges) to measure the actual torque borne by the joint.
  • 3) A displacement sensor on each spring in order to measure the amount of energy stored.
• Instead of directly measuring the deflection of the series springs (#3), sensory information from #1 can be employed. By subtracting the biomimetic joint angle from the active element output shaft angle, it is possible to calculate the amount of energy stored in the motor series spring. Also, the series spring displacement sensor can be used to measure the torque borne by the joint because joint torque can be calculated from the series spring output force.
• Many variations exist in the particular sensing methodologies employed in the measurement of the listed parameters. Although preferred sensory methods have been specified, it is noted here that what is critical is to capture the energy state of the spring elements and the velocities of interior points.
• In the remaining sections, we present embodiments of the agonist-antagonist actuator capable of providing biologically realistic dynamic behaviors for an artificial ankle and knee joint.
• An Agonist-Antagonist Actuator for an Artificial Ankle Joint
• Mechanical Design
• The ankle design comprises flexion and extension motors for the active elements, and corresponding flexion and extension transmissions and springs. The flexion and extension motors provide control of joint spring equilibrium position and stiffness, damping and nonconservative, motive force output. In the section to follow, we provide an example of how the agonist-antagonist actuator could be employed as an artificial ankle.
• The Agonist-antagonist actuator, as used in an artificial ankle application, is shown inFIGS. 7A and 7B. Anupper shin link701 and afoot link702 rotate with respect to one another about an ankle joint705 as best seen in the side view,FIG. 7B. Two actuators extend in parallel alongside theshin link701. In the actuator seen at the left inFIG. 7A, aplantar flexion motor711 drives aflexion ballscrew713 that extends through alinear bearing715, aplantar flexion spring717 and aplantar flexion nut719 to anendcap720. Theflexion motor711 is attached to acrossrod723 by astrut725. The dorsiflexion actuator is seen at the right inFIG. 7A and includes adorsiflexion motor731 which is attached at its lower end by astrut735 to thecross rod723. Adorsiflexion ballscrew741 is driven by the dorsiflexion motor and extends upwardly through adorsflexion nut743, adorsiflexion spring747, and alinear bearing758 to anendcap749. Thefoot link702 is attached to a leaf spring foot plate seen at750.
• The description that follows explains how, during level-ground walking, the joint might be controlled for the swing, controlled plantar flexion (CP), controlled dorsiflexion (CD), and powered plantar flexion (CP) phases of gait. In addition, the description will explain how the joint might be controlled for stair/slope ascent and descent.
• Level-Ground Walking: Swing Phase and CP
• During early swing, the plantarflexion ballscrew nut719 is positioned such that the ankle joint is dorsiflexed to achieve foot clearance. During terminal stance, three distinct control methods can be employed in preparation for heel strike and the CP phase. In human walking, the amount of energy stored during CP increases with increasing walking speed. To achieve this increase in energy with speed, the total angular deflection of the ankle can be increased with increasing speed and/or the quasi-stiffness or the actual stiffness of the ankle can be increased. Thus, in a first control approach, the effective spring equilibrium length of the actuator at heel strike could be increased with increasing walking speed. Here the spring equilibrium position of the joint is equal to the desired heel strike ankle angle. The effect of this control would be that more mechanical energy is stored in the dorsiflexion spring during CP as walking speed increases. In an alternate approach, during terminal swing both dorsi andplantar flexion motors731 and711 could do work on their respective series springs in a co-contraction control scheme. If the series springs are hardening springs (stiffness increases with increasing deflection), this co-contraction action would effectively increase the actual stiffness of the actuator, and the ankle joint across which the actuator spans. Still further, in a third approach, the quasi-stiffness of the actuator/joint could be increased or decreased during CP. For the ankle system shown inFIGS. 7A and 7B, the flexion and extension ballscrews are non-backdriveable. Hence, during CP, if the desired ankle stiffness can be achieved simply by compressing thedorsiflexion spring747, thedorsiflexion motor731 can be turned off to conserve power. If a lower quasi-joint stiffness is required, thedorsiflexion motor731 can unwind thedorsiflexion spring747 during CP, and if a greater quasi-joint stiffness is required, the motor can compress thespring747 during CP. Depending on the terrain (smooth or uneven), walking speed, and power consumption constraints, the control algorithm of the artificial ankle will select the appropriate ankle spring equilibrium and stiffness values for terminal swing/CP to achieve a smooth heel strike to forefoot strike transition.
• It is noted here that in the invention described herein, there can be separate series spring stiffnesses for joint dorsi and plantar flexion, and these two sets ofsprings717 and747 can be selected to give distinct flexion and extension joint stiffnesses at little to no power consumption. If the motors change ankle position when minimal torques are applied to the joint, such as during the swing phase of walking, very little electrical power is required to change the spring equilibrium position of the joint. In the embodiment seen inFIGS. 7A and 7B, where theballscrews713 and741 are non-backdriveable, the motors need not consume any electrical power to hold the joint's position even during ground contact. Controlling the joint spring set point at heel strike can be useful, for example, when the wearer switches shoes with different heel heights or when the terrain changes character (slopes/stairs and uneven terrain), thus changing the natural angle of the ankle joint when the foot is resting on a flat ground surface.
• Level-Ground Walking: CD and CP Phases
• During early CD in human walking, the ankle torque does not return topoint1 inFIG. 2. Rather, the torque assumes a higher value compared to the torque values frompoints1 to2. To achieve this higher torque output, theplantar flexion motor711 has to move theplantar flexion nut719 to reduce the gap between the nut and theplantar flexion spring717 as thedorsiflexion spring747 is being compressing during CP. This repositioning of the plantar flexion nut allows the plantar flexion spring to be engaged even before the dorsiflexion spring has released its energy, thus providing a higher torque during early CD than during CP.
• During mid to terminal CD in human walking, the ankle torque versus angle curve becomes increasingly nonlinear as walking speed increases. In addition, peak ankle power and the net ankle work during stance increases with increasing walking speed (seeFIG. 2). Thus, at 0.9 m/sec, when the human ankle, on average, stores as much energy as it releases, the mechanical response of the artificial ankle during CP will, on average, be dictated by the series, plantar flexion spring. That is to say, the stiffness of the plantar flexion spring will be tuned to correspond to the average, quasi-stiffness (slope of the torque-angle curve) of the human ankle during CD. To decrease the quasi- stiffness of the artificial ankle during CP, the plantar flexion motor would be controlled to unwind the plantar flexion spring, and to increase quasi-stiffness, the motor would compress the spring. Thus, as walking speed increases above 0.9m/sec, the plantar flexion motor would compress the plantar flexion spring during CD to achieve the following characteristics 1) to increase the quasi-stiffness of the artificial ankle during CD and 2) to increase the power output and the positive work performed during PP. It is noted here that to achieve a passive, spring response during the stance period of walking, the flexion and extension motors can be turned off to conserve power since the ballscrews are non-backdriveable.
• From {1 } {2 }, it has been shown that the maximum dorsiflexion ankle torque during level-ground walking is in the range from 1.5 Nm/kg to 2 Nm/kg, i.e. around 150 Nm to 200 Nm for a 1.00 kg person. Further, the maximum controlled plantar flexion torque is relatively small, typically in the range of 0.3 Nm/kg to 0.4 Nm/kg. Because of these biomechanics, a uni-directional spring in parallel with the agonist-antagonist actuator ofFIGS. 7A and 7B would lower the peak torque requirements of the actuator. The uni-directional spring would engage at a small or zero dorsiflexion angle (90 degrees between foot and shank) and would lower the peak torque requirements of the Agonist-antagonist actuator since the peak controlled plantar flexion torque is considerably smaller than the peak dorsiflexion torque. Thus, additional elements could be added to the design ofFIG. 7 such as a parallel, uni- directional spring.
• Stair/Slope Ascent and Descent
• For ascending a stair or slope, the dorsi and plantar flexion motors would move the nuts to reposition the ankle joint to an appropriate angle given the nature of the stair/slope. Once the artificial toe is loaded at first ground contact, the plantar flexion spring compresses and stores energy. During this CD process the plantar flexion motor can compress the spring farther so that additional power is delivered to the walking robot or prosthesis/orthosis user during PP. After toe-off, the motors control the equilibrium position of the ankle in preparation for the next step.
• During stair descent, the body has to be lowered after forefoot contact until the heel makes contact with the stair tread. See reference {2}. During this CD phase, the plantar flexion motor unwinds the plantar flexion spring as the spring is compressing to effectively dissipate mechanical energy. Once the heel makes contact with the stair tread, the motor can be turned off so that the plantar flexion spring begins to store energy for release during PP. For slope descent, the ankle response is similar, except that mechanical energy is absorbed by the dorsiflexion motor during CP instead of during CD.
• An Agonist-antagonist actuator for an Artificial Knee Joint
• The knee design comprises an extension motor and a flexion variable damper for the active elements, and corresponding flexion and extension transmissions and springs. The extension motor and the flexion variable damper provide control of joint spring equilibrium position and stiffness, damping and nonconservative, motive force output. In this implementation of the agonist-antagonist actuator, a flexion motor is not included in an attempt to simplify the mechanism. Since only a flexion variable damper is present, the flexion nut is mechanically grounded to the linear bearing since a flexion motor is not present to actively reposition the flexion nut. Hence, when the knee joint flexes and extends, the flexion ballscrew rotations, but that rotation does not introduce significant zero-power joint resistance because 1) the flexion ballscrew is highly backdriveable and 2) the flexion variable damper has a negligible low-end damping value. A preferred method for the flexion variable damper is a hysteresis brake because of its minimal low-end damping value. In the section to follow, I provide an example of how the agonist-antagonist actuator could be employed as an artificial knee.
• The agonist-antagonist actuator, as used in an artificial knee application, is shown inFIGS. 8A and 8B. The actuator consists of an upper (thigh) link801 and a lower (shin) link803 which are rotatably connected at a joint805. As seen at the left of thelower link803, anextension motor811 drives an extension ballscrew813 that extends downwardly from themotor811 through anextension nut815, anextension spring817, and alinear bearing819. An extension nut guidance shaft825 prevents the extension nut from rotating as the extension ballscrew813 rotates.
• The mechanism on the right side of thelower link803 is passive; that is, it does not include an active motor element but rather includes a flexionvariable damper831 and aflexion spring833. Aflexion ballscrew841 extends from thedamper831 downwardly through alinear bearing843, theflexion spring833 and aflexion nut847. A flexionnut guidance shaft851 prevents theflexion nut847 from rotating as the extension ballscrew841 rotates.
• Level-Ground Walking
• During level-ground walking, the joint is controlled for the swing, early stance flexion, mid-stance extension, and pre-swing phases of gait. In addition, as described below, the joint may be controlled for stair/slope ascent and descent. Beginning at heel strike, the stance knee begins to flex slightly in normal human walking (FIG. 5). As was noted earlier, this flexion period, called the Stance Flexion phase, allows for shock absorption upon impact as well as to keep the body's center of mass at a more constant vertical level throughout the stance period. During this phase, the artificial knee shown inFIGS. 8A and 8B outputs a spring response, storing energy in preparation for the Stance Extension phase. Here theextension spring817 stores energy, and then that energy is released during the Stance Extension phase. In this implementation of the agonist-antagonist actuator, the extension ballscrew transmission is non-backdriveable. Thus, if the desired actuator stiffness during Stance Flexion corresponds to the extension spring stiffness, the extension motor need not be active, reducing electrical power requirements. If a higher or lower quasi-joint stiffness is desired, theextension motor811 can compress or unwind the extension spring813 during early stance knee flexion, respectively, by repositioning theextension nut815 that acts on theextension spring817.
• After maximum flexion is reached in the stance knee in normal human walking, the joint begins to extend, until maximum extension is reached. This knee extension period is called the Stance Extension phase. Throughout the first ˜60% of Stance Extension, the knee acts as a spring, releasing the stored energy in the extension spring from the Stance Flexion phase of gait. This first release of energy corresponds to power output P2 inFIG. 5B. During the last ˜30% of Stance Extension, the artificial knee is controlled to absorb energy in theflexion spring833 and then that energy is released during the next gait phase, or Pre-Swing. Here the energy from hip muscular work and the remaining stored energy in theextension spring817 is then stored in theflexion spring833. To engage the flexion spring, the flexionvariable damper831 outputs a high damping value, locking theflexion ballscrew841, and forcing theflexion nut847 to compress theflexion spring833. During this energy storage, if it is desirable to lower the effective quasi-stiffness of the joint, the flexionvariable damper831 can output lower damping values to allow the flexion ballscrew841 to slip, and for energy to be dissipated as heat. Here again, as in the artificial ankle joint ofFIGS. 7A and 7B, the flexion and extension springs of the agonist antagonist actuator ofFIGS. 8A and 8B are precisely tuned such that biological knee mechanics can be achieved while minimizing power supply demands and overall artificial joint mass.
• During late stance or Pre-Swing, a normal human knee of the supporting leg begins its rapid flexion period in preparation for the swing phase. During early Pre-Swing in the artificial knee joint ofFIGS. 8A and 8B, as the knee begins to flex in preparation for toe-off, the stored elastic energy in theflexion spring833 stored during Stance Extension is released. This second release of energy corresponds to power output P3 inFIG. 5B. During this process, the flexionvariable damper831 can be used to modulate the amount of stored elastic energy in the flexion spring that is actually released to power the knee joint.
• In normal human walking, as the hip is flexed, and the knee has reached a certain angle in Pre-Swing, the leg leaves the ground and the knee continues to flex. At toe-off, the Swing Flexion phase of gait begins. Throughout this period, human knee power is generally negative where the knee's torque impedes knee rotational velocity. In the artificial knee joint ofFIGS. 8A and 8B, once the elastic energy from theflexion spring833 has been released and the artificial leg has entered the swing phase, the knee joint typically has to absorb mechanical energy to decelerate the swinging lower leg. This can be done in two ways. First, the flexionvariable damper831 can be used to dissipate mechanical energy as heat and to decelerate the swinging artificial leg. In addition, during late Swing Flexion, theextension motor811 can position theextension ballscrew nut815 such that theextension spring817 compresses and stores elastic energy for use during Swing Extension.
• After reaching a maximum flexion angle during swing, a normal human knee begins to extend forward. For the artificial knee ofFIGS. 8A and 8B, during the early Swing Extension period, the elastic energy stored during late Swing Flexion in theextension spring817 is released, resulting in power output P4 inFIG. 5B. This control action, once again, reduces the energy demands from the knee's power supply. In all cases, the flexionvariable damper831 can be used to precisely modulate the amount of power delivered to the swinging artificial leg from the stored elastic energy.
• During the remainder of Swing Extension, the human knee typically outputs negative power (absorbing energy) to decelerate the swinging leg in preparation for the next stance period. As with Swing Flexion, this can be done in two ways. First, the flexionvariable damper831 can be used to dissipate mechanical energy as heat and to decelerate the swinging artificial leg. In addition, during late Swing Extension, the flexionvariable damper831 can output a relatively high damping value such that theflexion spring833 compresses and stores elastic energy for use during Stance Flexion. Here a small amount of energy is stored in preparation for early stance (power P1). After the knee has reached full extension, the foot once again is placed on the ground, and the next walking cycle begins.
• In summary, the artificial knee shown inFIGS. 8A and 8B is capable of reproducing the positive power contributions P1, P2, P3 and P4 shown inFIG. 5 for level-ground walking.
• Stair/Slope Ascent and Descent
• For stair/slope descent, a normal human knee performs negative work during stance where knee torque is in the opposite direction to knee rotational velocity. The agonist-antagonist actuator ofFIGS. 8A and 8B can perform this negative work in two ways. First, the flexionvariable damper831 can be used to dissipate mechanical energy as heat and to decelerate the rotating artificial leg. In addition, during terminal stance, theextension motor811 can position theextension ballscrew nut815 such that theextension spring817 compresses and stores elastic energy for use later to power Swing Extension to prepare the artificial leg for the next stance period.
• For stair/slope ascent, during the swing phase theextension motor811 can actively control knee position to accurately locate the foot on the next stair tread or slope foothold. Once the artificial foot is securely positioned on the stair tread or ground, themotor811 can then deflect and store energy in theextension spring817. This stored elastic energy can then assist the knee wearer or humanoid robot to actively straighten the knee during the stance period, lifting the body upwards.
• Finally, the agonist-antagonist actuator ofFIGS. 8A and 8B allows for the “windup” phase of a catapult style control to occur at any desired time. This means much greater flexibility as to when large amounts of power can be efficiently generated and used. This flexibility is critical when designing an artificial knee that can be used for jumping. For such a movement task, energy has to be stored prior to the jump, and then the elastic energy has to be released at a precise time to facilitate a jumping action. Specifically for the agonist-antagonist actuator ofFIGS. 8A and 8B, the flexionvariable damper831 would be controlled to output high damping to effectively lock theflexion ballscrew841. Following this action, theextension motor811 would slowly compress theextension spring817. Once high powers are deemed necessary about the joint output, the flexionvariable damper831 would then be controlled to suddenly unlock to allow rapid rotation of theflexion ballscrew841 and the release of elastic strain energy from theextension spring817.
• Alternative Configurations of the Agonist-Antagonist Actuator
• It should be understood that the agonist-antagonist actuator described herein could be implemented in a number of different ways. For example, an active element and transmission-spring combination could be positioned on each side of the artificial joint. This configuration, shown inFIG. 9, has the advantage that when only one spring is being compressed, no off-axis bending torques are borne by the lower link seen at901. Thelower link901 is attached to theupper link903 at a joint905. Acrossbar strut907 is rigidly attached to thelower link901. A linear bearing is attached to each end of thecrossbar strut907 and a ballscrew, one of which is seen at909, extends through the linear bearing. The ballscrew seen at909 extends downwardly from adrive motor911 through avariable damper913, the linear bearing, aspring915, and aballscrew nut917 to anend cap919.
• In the agonist-antagonist actuator implementations shown inFIGS. 6, 7 and8, when only a single spring is being compressed, the upper and lower links experience a bending torque because the pair of active element- transmission-spring combinations are on the same side of the joint axis. It should also be understood that more than two active element-transmission-spring combinations could be employed to actuate multiple degrees of freedom. For example, inFIG. 10, four active element- transmission-spring combinations are shown to actuate a two degree of freedom joint. Still further, it should be understood that an agonist-antagonist actuation system can include active element-transmission-spring combinations than span two or more joints in a poly-articular architecture. The biomechanics of poly-articular actuation is discussed in the next section.
• In the arrangement shown inFIG. 10, the joint attaches anupper link1001 to alower link1003 for rotation about two orthogonal axes. As seen inFIG. 10B, the upper link rotates in a first degree of freedom about an axis through the crossbar1007 that is parallel to the long dimension of acrossbar1009, and in a second degree of freedom about an axis through thecrossbar1009 that is parallel to the crossbar1007. Four different actuators are attached from the ends of thecrossbars1007 and1009 and all four have a like structure illustrated by the actuator at the left inFIG. 10A. Andrive motor1021 attached to thecrossbar1005 rotates a ballscrew1022 that passes throughvariable damper1027 and alinear bearing1029 attached to thelower link1003. The ballscrew1022 further extends through aseries spring1031 and aballscrew nut1033 to anendcap1040. For each degree of freedom, one of the motor-spring-damper mechanisms controls the rotation of the upper link1001with respect to thelower link103 in one direction while an opposing motor-spring-camper mechanism attached to other end of the same crossbar controls the rotation in that degree of freedom in the other direction, thus providing agonist-antagonist actuator control in both degrees of freedom.
• Agonist-Antagonist Actuators Spanning More than One Joint
• In the foregoing description, the agonist-antagonist actuator mechanism contemplated by the present invention was described and specific examples were provided as to its use in ankle and knee actuation, and different illustrative implementations were described. For each of these implementations, the agonist-antagonist actuator spanned a single joint. In other implementations, an agonist-antagonist actuator may span more than one rotary joint. The functional purpose of poly-articular muscle architectures in the human leg is to promote the transfer of mechanical energy from proximal muscular work to distal joint power generation. See reference {10}. To capture truly biomimetic limb function, both muscle-like actuators and mono, bi, and poly-articular artificial musculoskeletal architectures are critical. Hence, it should be understood that the agonist-antagonist actuator described herein could span more than one artificial joint. For example, an active element-transmission-spring combination could act across the hip and knee of an artificial leg, or across the knee and ankle of an artificial leg.
• The Biomechanics of Mono and Bi-Articular Leg Actuation
• In the previous sections, an agonist-antagonist actuator was described and specific examples were provided as to its use in ankle and knee actuation. For each of these descriptions, the actuator was used as a mono-articular device, spanning only a single joint. In subsequent embodiments, we describe how mono-articular actuation strategies can be used in combination with bi-articular actuation strategies to better replicate biological limb dynamics and efficiency.
• The functional purpose of bi-articular muscle architectures in the human leg is to promote the transfer of mechanical energy from proximal muscular work to distal joint power generation {10}. To better explain how bi-articular actuation effects biological limb energetics, we present a biomechanical model of the human musculoskeletal architecture inFIG. 11A{ 11 }. By modeling the human leg, we seek to understand how leg muscles and tendons work mechanically during walking in order to motivate the design of efficient prosthetic, orthotic, and robotic limbs.
• We hypothesize that a robotic leg comprising only knee and ankle variable-impedance elements, including springs, clutches and variable-damping components, can capture the dominant mechanical behavior of the human knee and ankle for level-ground ambulation. As a preliminary evaluation of this hypothesis, we put forth a simple leg prosthesis model, shown inFIG. 11A, that is motivated by the human leg musculoskeletal architecture {11}. The model seen inFIG. 11 includes adrive motor1101 at the hip, a knee joint1103 and an ankle joint1105. A musculo-skeletal model of human leg function in walking. The model comprises seven mono-articular series-elastic clutches and four bi-articular series-elastic clutches/variable-dampers. Only asingle actuator1101 acts at the model's hip joint. In (B) and (C), model predictions for ankle and knee are compared with human gait data, respectively. Here gait data are shown for a 70 kg study participant with a 0.9 meter leg length and a walking speed of 1.2 m/s. The model of (A) agrees well with the human gait data, suggesting that muscles that span the ankle and knee primarily act as variable-impedance devices during level-ground walking. We vary quasi-passive model parameters, or spring constants, damping levels and times when series-elastic clutches are engaged, using an optimization scheme where errors between model joint behaviors and normal human joint biomechanics are minimized.
• The capacity of the musculoskeletal leg model to capture human-like ankle and knee mechanics in level-ground walking is shown inFIGS. 11B and 11C, respectively. At each joint state (position and velocity), the leg model is in good agreement with experimental values of joint torque and power, suggesting that a robotic leg can produce human-like walking dynamics through the control of only knee and ankle impedance.
• Mono-articular ankle mechanism. The ankle mechanism comprises mono-articular dorsi and plantar flexion springs that can be engaged or disengaged with series elastic clutch mechanisms (seeFIG. 11A). InFIG. 12A, the mechanical power for each ankle component is plotted versus percent gait cycle. At heel strike (0% cycle), the clutch for the ankle dorsiflexion spring is engaged, causing the spring to stretch and store energy during early stance plantar flexion. When the tibia begins rotating forwardly after forefoot contact, the ankle plantar flexion spring is engaged and continues to store energy throughout the controlled dorsiflexion phase, and then that stored energy is released to contribute to ankle powered plantar flexion at terminal stance. Mechanical power output for each component of the human leg model ofFIG. 11A. In (A), (B) and (C), the mechanical power of each model element is plotted versus percentage gait cycle for ankle, knee and hip, respectively. Here the gait cycle begins at heel strike (0%) and ends with the heel strike of the same leg (100%).
• Mono-articular knee mechanism. The knee mechanism comprises mono-articular flexion and extension springs that can be engaged or disengaged with series elastic clutch mechanisms (seeFIG. 11A). InFIG. 12B, the mechanical power for each knee mono-articular component is plotted versus percent gait cycle. At heel strike (0% cycle), the clutch for the knee extensor spring is engaged, causing the spring to stretch during early stance knee flexion. Here the knee extensor spring inhibits the knee from buckling. As the knee extends from a flexed posture, the knee flexor spring is engaged at the point of maximum knee extension velocity, storing energy that is subsequently used during terminal stance to help lift the lower leg from the ground surface.
• Ankle-Knee Bi-Articular Mechanism. The leg model's ankle-knee bi-articular mechanism comprises a spring that can be engaged or disengaged with two clutch mechanisms (seeFIG. 11A). A first clutch, or the distal clutch, attaches the series spring to a point between the ankle and knee joint, and a second clutch, or the proximal clutch, attaches that same spring to a point above the knee axis. After heel strike in human walking, the knee typically undergoes a flexion period. During that phase of gait, both the proximal and distal clutches are disengaged, and the bi-articular spring does not apply a force to the prosthesis skeleton. However, as the knee begins to extend (˜10% cycle), the proximal clutch engages, and the bi-articular spring stretches. When the knee is fully extended, the distal clutch changes from a disengaged state to an engaged state, and the proximal clutch disengages. Engaging the distal clutch mechanically grounds the bi-articular spring below the knee rotational axis, changing the ankle-knee mechanism from a bi-articular to a mono-articular device. As a consequence of this action, all the energy stored in the bi-articular spring is used to power ankle plantar flexion during terminal stance. Thus in summary, the ankle-knee mechanism allows energy from hip muscular/actuator work to be transferred to the ankle for late stance powered plantar flexion.
• Knee-Hip Bi-Articular Mechanism. The leg model's knee-hip bi-articular mechanisms comprise a spring that can be engaged or disengaged with either a clutch or variable-damper mechanism (seeFIG. 11A). There are three knee-hip bi-articular mechanisms. The clutch of the knee-hip flexor is engaged during swing phase knee extension and begins storing energy its series spring. As a result of this control action, the lower leg is decelerated smoothly prior to reaching full knee extension. In addition, elastic energy is stored in the knee-hip flexor spring that is later released during the early stance period. The knee-hip flexor also undergoes an energy storage/release sequence that begins during stance knee extension. The stored energy is then released to power rapid knee flexion movements at terminal stance to lift the foot and lower leg from the ground surface. The clutch of the knee-hip extensor is engaged during terminal stance, storing energy that is later released to enhance knee extension. Finally, the iliotibial tract series-elastic variable-damper applies an extensor knee torque to offset the knee flexor torque applied by the ankle-knee bi-articular mechanism. During stance knee extension, the ankle-knee bi-articular spring is elongated, exerting a torque about the knee. At the same time the iliotibial tract series spring is elongated thereby applying an extensor torque at the knee. Thus, through the action of the iliotibial tract mechanism, the effect of the ankle-knee bi-articular mechanism on net knee torque is minimized.
• In the human leg, the functional purpose of bi-articular muscle is to promote the transfer of mechanical energy from proximal muscular work to distal joint power generation {10}. Using the biomimetic architecture shown inFIG. 11A, the robotic leg can achieve ankle powered plantar flexion without the requirement of powering a large motor located at the ankle joint. Approximately ten joules of net work are transferred to the ankle from the knee and hip in the modeling results shown inFIGS. 11 and 12.
• In subsequent embodiments, we motivate the design of prosthetic, orthotic and robotic leg structures using the leg model ofFIG. 11.
• Mono and Bi-Articular Actuation for a Transtibial Prosthetic Leg System
• The prosthetic leg model ofFIG. 11A suggests that leg prostheses could produce human-like joint mechanics during level-ground ambulation if a musculoskeletal leg architecture and a variable-impedance control paradigm were exploited. However, the proposed biomimetic leg prosthesis does not eliminate the need for knee and ankle actuators, but the model does suggest that nonconservative joint actuator work need not be performed during normal, steady state walking. For some situations, positive joint actuator work is required. For example, for uphill locomotory function, some positive actuator work would be necessary, especially at the knee. Furthermore, ankle and knee torque control would be necessary to reject large whole-body force disturbances that threaten balance. Although joint actuation is still necessary, the proposed biomimetic design will increase the time between battery recharges or power supply refueling, and will reduce robotic limb noise production during level-ground walking.
• InFIG. 13, the design of the proposed transtibial ankle-foot system with mono and bi-articular mechanisms is shown. InFIG. 13A, the major components of the transtibial system are shown, including the mono-articular ankle mechanism at1303, the bi-articular ankle-knee mechanism at1305, and a flexible nylon cord at1307.FIG. 13B shows the monoarticular ankle mechanism in more detail. This mechanism comprising twomotors1313, mechanical transmissions and series dorsiflexion springs at1317, and series plantar flexion springs at1319.FIG. 13C shows the bi-articular mechanism (1305 inFIG. 13A) andFIG. 13D shows a schematic of the bi-articular mechanism, including two uni-directional clutches seen at1321 and1351 and a series spring at1324. The limb architecture largely reflects the leg model shown inFIG. 11A, except the mono-articular knee mechanism has been excluded as this basic musculoskeletal structure is still intact in transtibial amputees.
• Theankle mechanism1305 seen inFIG. 13B comprises two agonist-antagonist, series-elastic actuators acting across the ankle joint. The foot-ankle design is similar to that described earlier inFIG. 7. Each actuator has a smallelectric motor1313 in series with one of the die springs1317 or1319. Each series spring is a nonlinear hardening spring where spring stiffness increases with increasing spring compression. Anon-backdriveable leadscrew1331 is employed to covert rotary motor movement into linear movement of aleadscrew nut1332. A slider mechanism is seen at1334 and a guide rod at1335. By re-positioning theleadscrew nut1332, eachmotor1313 can independently vary the position of the ankle joint at which theseries spring1317 or1319 becomes engaged. Such an ankle spring equilibrium control is important for many prosthesis functions, including slope and stair ascent and descent. The mono-articular ankle mechanism can also change ankle spring stiffness. During the swing phase each motor can simultaneously compress each nonlinear spring using a co-contraction control. Since spring stiffness increases with increasing deflection, the more the motor system compresses the springs, the stiffer the ankle joint becomes. Since the mechanical transmission is non-backdriveable, once a desired ankle stiffness has been achieved, the motors can be turned off to save electrical power. The foot-ankle design is similar to that described earlier inFIG. 7.
• InFIGS. 13C and 13D, the bi-articular ankle-knee mechanism and schematic are shown, respectively. The mechanism comprises two uni-directional clutches seen at1351 and1321 and a spring at1324. Each clutch is formed by two opposing cams (see1353) that press against a shaft that directly connects to the spring. At the bottom ofFIG. 13C, a foot assembly is seen at1327 and the ankle axis is at1328. The ankle joint connection is seen at1329. In an engaged state, the cam configuration only allows for shaft movement in one direction. As can be seen inFIG. 13D, if both uni-directional clutches A and B are in the disengaged state, with each cam pair rotated outwardly with a small cam motor, the ankle and knee can freely rotate without the bi-articular spring exerting a force. When the ankle dorsi and plantar flexes in this disengaged state, the lower floating cam-clutch assembly1321 translates on thelinear guide rail1367. Furthermore, when the knee flexes and extends, the entire spring assembly translates on thelinear guide rail1367. In distinction, when both clutches are in their engaged state, both ankle dorsiflexion and knee extension cause thebi-articular spring1324 to stretch and store energy. Since theflexible nylon cord1307 can resist tension but not compression, once the knee has reached full extension during the stance phase, knee flexion throughout terminal stance is not restricted by the bi-articular assembly, and all the stored energy in the bi-articular spring augments ankle powered plantar flexion.
• Sensors for Active Ankle-Foot Prosthesis
• For the active transtibial prosthesis to function properly, there are various sensors required to measure the state of the various system components and the intent of the amputee user. The additional sensors required to enable general prosthesis operation and control are:
• • 4) position sensors located at the knee and ankle axes to measure joint angles (rotary potentiometers), and on each motor shaft to measure total displacement and velocity of each motor (a shaft encoder);
  • 5) an inertial measurement unit (IMU) to determine the absolute position of the prosthesis in space;
  • 6) a displacement sensor on each spring in order to measure the amount of force borne by a spring and the torque borne by the ankle joint; and
  • 7) electromyographic (EMG) sensors to determine residual limb muscle activity.
• Series spring displacement sensors can be used to determine the torque borne by the ankle joint because joint torque can be calculated from the agonist-antagonist spring output forces.
• Control for Active Ankle-Foot Prosthesis
• Local Prosthesis Control. A critical advantage of the human-like musculoskeletal prosthesis is that it allows the amputee user to directly control ankle powered plantar flexion. Because of the bi-articular ankle-knee mechanism, the extent of midstance knee extension defines how much energy is transferred to the prosthetic ankle for powering ankle plantar flexion at terminal stance. Since transtibial amputees generally have direct control over their knee, the biomimetic transtibial prosthesis allows for direct control over ankle power output.
• The point in the gait cycle where the prosthesis series spring elements are engaged will largely be defined by joint state (position and velocity) and foot-ground interaction forces. The spring equilibrium angle for the ankle mono-articular mechanism will be equal to the ankle angle at first heel strike. Here heel strike will be detected using ankle torque sensing. For level ground ambulation, the heel strike ankle angle will be kept largely invariant with walking speed, but will be modulated from step to step for slope and stair ambulation.
• The uni-directional clutch devices in the bi-articular mechanism will be controlled in a speed invariant manner. After heel strike in walking, the knee typically undergoes a flexion period. During that phase of gait, both bi-articular clutches will be disengaged, and therefore the bi-articular spring will not apply a force to the prosthesis skeleton. However, as the knee begins to extend (˜10% cycle), both clutches will be engaged, causing the bi-articular spring to stretch. Once the prosthesis enters the swing phase as detected by zero ankle torque, the bi-articular clutches will be disengaged so as to allow unrestricted knee and ankle movement throughout the swing phase.
• Electromyographic (EMG) Control of Prosthetic Ankle Stiffness. The residual anatomy will allow amputees to voluntarily control joint stiffness via activation of the muscles in the residual limb. When walking on a rigid ground surface, the amputee user can select a low ankle stiffness, whereas when walking on a compliant terrain, the amputee can exploit a relatively high ankle stiffness.
• Within the human body, such voluntary changes in joint stiffness are modulated by muscular co-activation. When antagonist muscles are simultaneously recruited, the net torque produced about the joint is related to the difference between the forces generated by the activated muscles, while the joint stiffness is related to their sum. Thus, activity from residual muscles is a natural control source for specifying the desired level of ankle stiffness. Since EMG provides a measure of muscular effort, it can be used in a “natural” manner to control stiffness of a joint. For a transtibial amputee, the muscles of the anterior and posterior compartment of the leg form the natural location from which to derive stiffness control signals.
• A joint stiffness control signal is derived from the sum of the plantar flexion and dorsiflexion EMG amplitudes. The stiffness control signal will be related to stiffness via a straight line relationship with a zero-level control signal signifying the minimum available stiffness level and the maximum-level control signal signifying the maximum available stiffness level. Thus, limited muscle effort results in a low ankle stiffness while high muscular effort results in a high ankle stiffness. Using this control strategy, stiffness can be volitionally controlled by the amputee in a natural manner.
• Although the device ofFIGS. 13A-13D was described as a transtibial prosthesis, the mechanism could also be used as an orthosis or exoskeleton. The mechanism would be useful as an orthosis for an individual that suffers from an ankle pathology but generally has normal knee and hip function. For such an application, the mechanism would be placed in parallel with the human leg to augment ankle mechanics as a permanent assistive device.
• Mono and Bi-articular actuation for an Artificial Ankle and Knee System
• Description
• A proposed artificial ankle and knee system is shown inFIG. 14. The mechanism could be employed for a transfemoral prosthesis, orthosis, leg exoskeleton, or robotic leg. The mono-articular ankle-foot and knee designs are identical to the structures described inFIG. 13B andFIG. 8, respectively. However, the ankle-knee bi-articular mechanism is different from that proposed inFIGS. 13C and 13D. The bi-articular device ofFIG. 13 has to be attached above the knee axis. In distinction, the bi-articular device ofFIGS. 14A-14D attaches adjacent to the knee axis.
• The bi-articular ankle-knee mechanism ofFIGS. 14A-14D comprises amotor1411, non-backdriveablemechanical transmission1413,screw nut1414, series spring1417, aknee bi-articular connection1421, anankle bi-articular connection1431, and a knee variable moment arm (VMA) device1441 (seen in more detail inFIG. 14D).
• During level-ground walking, we describe how the ankle-knee bi-articular mechanism would be controlled for the swing, early stance flexion, mid-stance extension, and pre-swing phases of gait.
• During the swing phase and early stance knee flexion, thescrew nut1414 is moved away from the series spring1417 so that ankle and knee joint movements do not cause the spring to compress. However, when stance knee extension begins (18% gait cycle), thelead screw nut1414 is moved by themotor1411 until it engages the series spring1417. As a consequence of this control action, both knee extension and ankle dorsiflexion contributes to spring compression. Once the knee has reached full extension, theVMA device1441 then minimizes the moment arm that the knee bi-articular connection makes with the knee axis of rotation. Because the knee moment arm is minimized, most of the strain energy stored in the bi-articular spring contributes to ankle powered plantar flexion at terminal stance. Generally, theknee moment arm1441 can be controlled to effectively modulate the amount of energy release that occurs through the knee joint.
• The VMA device comprises asmall motor1451 plusgear train1455, non-backdriveable lead screw1459,lead screw nut1461, and variablemoment arm pin1466. A shin tube mount is seen at1457. When themotor1451 rotates, thelead screw nut1461 moves the variablemoment arm pin1466 across the variablemoment arm slot1471. The pin is attached to the knee bi-articular connection. Thus, the VMA motor can actively control the perpendicular distance, or moment arm, between the knee bi-articular connection and the knee axis.
SUMMARY
• Several agonist-antagonist actuator variations comprising a plurality of active element transmission-spring combinations acting in parallel have described. These actuator embodiments combine active and passive elements in order to achieve high performance with minimal mass. In addition, the use of agonist-antagonist actuators as mono and poly-articular linear elements has been described. The combination of biologically-inspired musculoskeletal architectures and agonist-antagonist actuation strategies as described above provide novel, low mass, efficient and quiet biomimetic artificial limbs. These artificial limb structures may be used to advantage to provide improved orthotic and prosthetic devices and legged robotic mechanisms.
CONCLUSION
• It is to be understood that the methods and apparatus which have been described above are merely illustrative applications of the principles of the invention. Numerous modifications may be made by those skilled in the art without departing from the true spirit and scope of the invention.

Claims (1)

1. An artificial limb comprising, in combination,

first and second members connected for movement relative to one another at a joint,

a flexion actuator connected between said first and second members, said extendable flexion actuator comprising the series combination of a first motor and a first elastic element drawing said first and second members together to reduce the angle between said first and second members at said joint,

a extension actuator connected between said first and second members, said extension actuator comprising the series combination of a second motor and a second elastic for urging said first and second members apart to increase the angle between said first and second members at said joint, and

a controller for independently energizing said first motor and said second motor at different times to control the movement of said artificial limb.

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