Movatterモバイル変換

[0]ホーム
URL:

×

zbMATH Open — the first resource for mathematics

from until
Reset all

Examples

GeometrySearch for the termGeometry inany field. Queries arecase-independent.
Funct*Wildcard queries are specified by* (e .g.functions,functorial, etc.). Otherwise the search isexact.''Topological group'':Phrases (multi - words) should be set in''straight quotation marks''.
au: Bourbaki & ti: AlgebraSearch forauthorBourbaki andtitleAlgebra. Theand-operator & is default and can be omitted.
Chebyshev | TschebyscheffTheor-operator| allows to search forChebyshev orTschebyscheff.
Quasi* map* py: 1989The resulting documents havepublicationyear1989.
so:Eur* J* Mat* Soc* cc:14Search for publications in a particularsource with aMathematics SubjectClassificationcode in14.
cc:*35 ! any:ellipticSearch for documents about PDEs (prefix with * to search only primary MSC); the not-operator ! eliminates all results containing the wordelliptic.
dt: b & au: HilbertThedocumenttype is set tobooks; alternatively:j forjournal articles,a forbookarticles.
py: 2000 - 2015 cc:(94A | 11T)Numberranges when searching forpublicationyear are accepted . Terms can be grouped within( parentheses).
la: chineseFind documents in a givenlanguage .ISO 639 - 1 (opens in new tab) language codes can also be used.
st: c r sFind documents that arecited, havereferences and are from asingle author.

Fields

ab Text from the summary or review (for phrases use “. ..”)
an zbMATH ID, i.e.: preliminary ID, Zbl number, JFM number, ERAM number
any Includes ab, au, cc, en, rv, so, ti, ut
arxiv arXiv preprint number
au Name(s) of the contributor(s)
br Name of a person with biographic references (to find documents about the life or work)
cc Code from the Mathematics Subject Classification (prefix with* to search only primary MSC)
ci zbMATH ID of a document cited in summary or review
db Database: documents in Zentralblatt für Mathematik/zbMATH Open (db:Zbl), Jahrbuch über die Fortschritte der Mathematik (db:JFM), Crelle's Journal (db:eram), arXiv (db:arxiv)
dt Type of the document: journal article (dt:j), collection article (dt:a), book (dt:b)
doi Digital Object Identifier (DOI)
ed Name of the editor of a book or special issue
en External document ID: DOI, arXiv ID, ISBN, and others
in zbMATH ID of the corresponding issue
la Language (use name, e.g.,la:French, orISO 639-1, e.g.,la:FR)
li External link (URL)
na Number of authors of the document in question. Interval search with “-”
pt Reviewing state: Reviewed (pt:r), Title Only (pt:t), Pending (pt:p), Scanned Review (pt:s)
pu Name of the publisher
py Year of publication. Interval search with “-”
rft Text from the references of a document (for phrases use “...”)
rn Reviewer ID
rv Name or ID of the reviewer
se Serial ID
si swMATH ID of software referred to in a document
so Bibliographical source, e.g., serial title, volume/issue number, page range, year of publication, ISBN, etc.
st State: is cited (st:c), has references (st:r), has single author (st:s)
sw Name of software referred to in a document
ti Title of the document
ut Keywords

Operators

a & bLogical and (default)
a | bLogical or
!abLogical not
abc*Right wildcard
ab cPhrase
(ab c)Term grouping

See also ourGeneral Help.

Distributed consensus of a class of networked heterogeneous multi-agent systems.(English)Zbl 1395.93059

Summary: In this paper, we consider the consensus problem of a class of heterogeneous multi-agent systems composed of the linear first-order and second-order integrator agents together with the nonlinear Euler-Lagrange (EL) agents. First, we propose a distributed consensus protocol under the assumption that the parameters of heterogeneous system are exactly known. Sufficient conditions for consensus are presented and the consensus protocol accounting for actuator saturation is developed. Then, by combining adaptive controller and PD controller together, we design a protocol for the heterogeneous system with unknown parameters (in the nonlinear EL dynamics). Based on graph theory, Lyapunov theory and Barbalat’s lemma, the stability of the controllers is proved. Simulation results are also provided to illustrate the effectiveness of the obtained results.

MSC:

93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93C85 Automated systems (robots, etc.) in control theory
93C40 Adaptive control/observation systems
93C15 Control/observation systems governed by ordinary differential equations

Cite

References:

[1]Cao, Y.; Yu, W.; Ren, W.; Chen, G., An overview of recent progress in the study of distributed multi-agent coordination, IEEE Trans. Ind. Inform., 9, 1, 427-438, (2013)
[2]Jadbabaie, A.; Lin, J.; Morse, A. S., Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Trans. Autom. Control, 48, 988-1001, (2003) ·Zbl 1364.93514
[3]Saber, R.; Murray, R., Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Autom. Control, 49, 1520-1533, (2004) ·Zbl 1365.93301
[4]Ren, W.; Beard, R. W., Consensus seeking in multi-agent systems under dynamically changing interaction topologies, IEEE Trans. Autom. Control, 50, 655-661, (2005) ·Zbl 1365.93302
[5]Moreau, L., Stability of multiagent systems with time-dependent communication links, IEEE Trans. Autom. Control, 50, 169-182, (2005) ·Zbl 1365.93268
[6]N. Chopra, M.W. Spong, Output synchronization of nonlinear systems with time delay in communication, in: Proceedings of IEEE Conference on Decision Control, 2006, pp. 4986-4992.
[7]Chung, S. J.; Slotine, J. J., Cooperative robot control and concurrent synchronization of Lagrangian systems, IEEE Trans. Robot., 25, 3, 686-700, (2009)
[8]Tian, Y.; Liu, C., Consensus of multi-agent systems with diverse input and communication delays, IEEE Trans. Autom. Control, 53, 2122-2128, (2008) ·Zbl 1367.93411
[9]Nuno, E.; Ortega, R.; Basanez, L.; Hill, D., Synchronization of networks of nonidentical Euler-Lagrange systems with uncertain parameters and communication delays, IEEE Trans. Autom. Control, 56, 4, 935-941, (2011) ·Zbl 1368.93308
[10]Meng, Z.; Ren, W.; You, Z., Distributed finite-time attitude containment control for multiple rigid bodies, Automatica, 46, 2092-2099, (2010) ·Zbl 1205.93010
[11]Min, H.; Sun, F.; Wang, S.; Li, H., Distributed adaptive consensus algorithm for networked Euler-Lagrange systems, IET Control Theory Appl., 5, 1, 145-154, (2011)
[12]Min, H.; Wang, S.; Sun, F.; Gap, Z.; Zhang, J., Decentralized adaptive attitude synchronization of spacecraft formation, Syst. Lett., 61, 1, 238-246, (2012) ·Zbl 1256.93058
[13]G. Wen, Z. Duan, G. Chen, W. Yu, Consensus tracking of multi-agent systems with Lipschitz-Type node dynamics and switching topologies, IEEE Trans. Circuits Syst. I Regular Pap., http://dx.doi.org/10.1109/TCSI.2013.2268091. ·Zbl 1468.93037
[14]Wen, G.; Duan, Z.; Yu, W.; Chen, G., Consensus in multi-agent systems with communication constraints, Int. J. Robust Nonlinear Control, 22, 2, 170-182, (2012) ·Zbl 1244.93018
[15]Y. Liu, H. Min, S. Wang, Z. Liu, S. Liao, Distributed adaptive consensus for multiple mechanical systems with switching topologies and time-varying delay, Systems & Control Letters, 2014. http://dx.doi.org/10.1016/j.sysconle.2013.09.005 ·Zbl 1283.93024
[16]D. Lee, M.W. Spong, Agreement with non-uniform information delays, in: Proceedings of the American Control Conference, 2006, Minneapolis, Minnesota, USA, pp. 756-761.
[17]Zheng, Y.; Zhu, Y.; Wang, L., Consensus of heterogeneous multi-agent systems, IET Control Theory Appl., 5, 16, 1881-1888, (2011)
[18]Zheng, Y.; Wang, L., Consensus of heterogeneous multi-agent systems without velocity measurements, Int. J. Control, 85, 7, 200-206, (2012)
[19]Kim, H.; Shim, H.; Seo, J., Output consensus of heterogeneous uncertain linear multi-agent systems, IEEE Trans. Autom. Control, 56, 1, 200-206, (2011) ·Zbl 1368.93378
[20]Liu, C.; Liu, F., Stationary consensus of heterogeneous multi-agent systems with bounded communication delays, Automatica, 47, 2130-2133, (2011) ·Zbl 1227.93010
[21]Zheng, Y.; Wang, L., Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements, Syst. Control Lett., 61, 871-878, (2012) ·Zbl 1252.93009
[22]Tian, Y.; Zhang, Y., High-order consensus of heterogeneous multi-agent systems with unknown communication delays, Automatica, 48, 1205-1212, (2012) ·Zbl 1244.93013
[23]Beard, R.; Lawton, J.; Hadaegh, F., A coordination architecture for spacecraft formation control, IEEE Trans. Control Syst. Technol., 9, 6, 777-790, (2001)
[24]Mei, J.; Ren, W.; Ma, G., Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph, Automatica, 48, 653-659, (2012) ·Zbl 1238.93009
[25]Kelly, R.; Santibanez, V.; Loria, A., Control of robot manipulators in joint space, (2005), Springer, London, UK
[26]Marino, R.; Tomei, P., Nonlinear control design-geometric, adaptive and robust, (1995), Prentice Hall Europe, Hertfordshire, UK ·Zbl 0833.93003
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.
© 2025FIZ Karlsruhe GmbHPrivacy PolicyLegal NoticesTerms & Conditions
  • Mastodon logo
 (opens in new tab)
[8]ページ先頭
©2009-2025 Movatter.jp