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Synchronized multiple spacecraft rotations.(English)Zbl 1032.93553

Summary: The objective of this paper is to present formation control laws for maintaining attitude alignment among a group of spacecraft in either deep space or earth orbit. The paper presents two control strategies based on emergent behavior approaches. Each control strategy considers the desired formation behaviors of convergence to the final formation goal, formation keeping, and the desire to rotate the spacecraft about fixed axes. The first approach uses velocity feedback and the second approach used passivity-based damping. In addition, we prove analytically that our approach guarantees formation keeping throughout the maneuver. Simulation results demonstrate the effectiveness of our approach.

MSC:

93C95 Application models in control theory
70E15 Free motion of a rigid body

Cite

References:

[1]Anderson, M. R., & Robbins, A. C. (1998). Formation flight as a cooperative game.Proceedings of the AIAA guidance, navigation and control conference; Anderson, M. R., & Robbins, A. C. (1998). Formation flight as a cooperative game.Proceedings of the AIAA guidance, navigation and control conference
[2]Balch, T.; Arkin, R. C., Behavior-based formation control for multirobot teams, IEEE Transactions on Robotics and Automation, 14, 6, 926-939 (1998)
[3]Beard, R. W.; Lawton, J.; Hadaegh, F. Y., A feedback architecture for formation control, IEEE Transactions on Control Systems Technology, 9, 6, 777-790 (2001)
[4]Das, A., Cobb, R., & Stallard, M. (1998). TECHSAT 21: A revolutionary concept in distributed space based sensing.Proceedings of the guidance, navigation and control conference; Das, A., Cobb, R., & Stallard, M. (1998). TECHSAT 21: A revolutionary concept in distributed space based sensing.Proceedings of the guidance, navigation and control conference
[5]de Queiroz, M. S.; Kapila, V.; Yan, Q., Adaptive nonlinear control of multiple spacecraft formation flying, Journal of Guidance, Control, and Dynamics, 23, 3, 385-390 (2000)
[6]DeCou, A. B., Orbital station-keeping for multiple spacecraft interferometry, The Journal of the Astronautical Sciences, 39, 3, 283-297 (1991)
[7]Folta, D., & Quinn, D. (1998). A universal 3-D method for controlling the relative motion of multiple spacecraft in any orbit.AIAA guidancenavigation and control conference; Folta, D., & Quinn, D. (1998). A universal 3-D method for controlling the relative motion of multiple spacecraft in any orbit.AIAA guidancenavigation and control conference
[8]How, J. P., Twiggs, R., Weidow, D., Hartman, K., & Bauer, F. (1998). ORION: A low-cost demonstration of formation flying in space using GPS. InProceedings of the astrodynamics specialist conference; How, J. P., Twiggs, R., Weidow, D., Hartman, K., & Bauer, F. (1998). ORION: A low-cost demonstration of formation flying in space using GPS. InProceedings of the astrodynamics specialist conference
[9]Kapila, V.; Sparks, A. G.; Buffington, J. M.; Yan, Q., Spacecraft formation flyingDynamics and control, Journal of Guidance, Control, and Dynamics, 23, 3, 561-564 (2000)
[10]Lau, K., Lichten, S., Young, L., & Haines, B. (1996). An innovative deep space application of GPS technology for formation flying spacecraft.American institute of aeronautics and astronautics, guidance, navigation and control conference; Lau, K., Lichten, S., Young, L., & Haines, B. (1996). An innovative deep space application of GPS technology for formation flying spacecraft.American institute of aeronautics and astronautics, guidance, navigation and control conference
[11]Lawton, J. (2000).Multiple spacecraft elementary formation maneuvers; Lawton, J. (2000).Multiple spacecraft elementary formation maneuvers
[12]Lawton, J., & Beard, R. (2001). Model independent approximate eigenaxis rotations via quaternion feedback.Proceedings of the american control conference; Lawton, J., & Beard, R. (2001). Model independent approximate eigenaxis rotations via quaternion feedback.Proceedings of the american control conference
[13]Lizarralde, F.; Wen, J., Attitude control without angular velocity measurementA passivity approach, IEEE Transaction On Automatic Control, 41, 3, 468-472 (1996) ·Zbl 0846.93065
[14]Mesbahi, M.; Hadaegh, F. Y., Formation flying control of multiple spacecraft via graphs, matrix inequalities, and switching, AIAA Journal of Guidance, Control, and Dynamics, 24, 2, 369-377 (2000)
[15]Wang, P. K.C.; Hadaegh, F. Y., Coordination and control of multiple microspacecraft moving in formation, The Journal of the Astronautical Sciences, 44, 3, 315-355 (1996)
[16]Wertz, J. R. (Ed.). (1978).Spacecraft attitude determination and control; Wertz, J. R. (Ed.). (1978).Spacecraft attitude determination and control
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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