×

Distributed adaptive output feedback consensus protocols for linear systems on directed graphs with a leader of bounded input. (English) Zbl 1348.93013

Summary: This paper studies output feedback consensus protocol design problems for linear multi-agent systems with directed graphs containing a leader whose control input is nonzero and bounded. We present novel distributed adaptive output feedback protocols to achieve leader-follower consensus for any directed graph containing a directed spanning tree with the leader as the root. The proposed protocols are independent of any global information of the graph and can be constructed as long as the agents are stabilizable and detectable.

MSC:

93A14 Decentralized systems
93C40 Adaptive control/observation systems
68T42 Agent technology and artificial intelligence
05C90 Applications of graph theory
Full Text: DOI

References:

[1] Antonelli, G., Interconnected dynamic systems: An overview on distributed control, IEEE Control Systems Magazine, 33, 1, 76-88 (2013) · Zbl 1395.93032
[2] Bernstein, D. S., Matrix mathematics: Theory, facts, and formulas (2009), Princeton University Press · Zbl 1183.15001
[3] Cao, Y. C.; Ren, W., Distributed coordinated tracking with reduced interaction via a variable structure approach, IEEE Transactions on Automatic Control, 57, 1, 33-48 (2012) · Zbl 1369.93012
[4] Corless, M.; Leitmann, G., Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems, IEEE Transactions on Automatic Control, 26, 5, 1139-1144 (1981) · Zbl 0473.93056
[5] DeLellis, P.; diBernardo, M.; Garofalo, F., Novel decentralized adaptive strategies for the synchronization of complex networks, Automatica, 45, 5, 1312-1318 (2009) · Zbl 1162.93361
[6] Dimarogonas, D. V.; Tsiotras, P.; Kyriakopoulos, K. J., Leader-follower cooperative attitude control of multiple rigid bodies, Systems and Control Letters, 58, 6, 429-435 (2009) · Zbl 1161.93002
[8] Khalil, H. K., Nonlinear systems (2002), Prentice Hall: Prentice Hall Englewood Cliffs, NJ · Zbl 0626.34052
[9] Lewis, F. L.; Zhang, H.; Hengster-Movric, K.; Das, A., Cooperative control of multi-agent systems: Optimal and adaptive design approaches (2014), Springer: Springer London · Zbl 1417.93015
[10] Li, Z. K.; Duan, Z. S.; Chen, G. R.; Huang, L., Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint, IEEE Transactions on Circuits and Systems. I. Regular Papers, 57, 1, 213-224 (2010) · Zbl 1468.93137
[11] Li, Z. K.; Liu, X. D.; Ren, W.; Xie, L. H., Distributed tracking control for linear multi-agent systems with a leader of bounded unknown input, IEEE Transactions on Automatic Control, 58, 2, 518-523 (2013) · Zbl 1369.93306
[12] Li, Z. K.; Ren, W.; Liu, X. D.; Fu, M. Y., Consensus of multi-agent systems with general linear and Lipschitz nonlinear dynamics using distributed adaptive protocols, IEEE Transactions on Automatic Control, 58, 7, 1786-1791 (2013) · Zbl 1369.93032
[13] Li, Z. K.; Ren, W.; Liu, X. D.; Xie, L. H., Distributed consensus of linear multi-agent systems with adaptive dynamic protocols, Automatica, 49, 7, 1986-1995 (2013) · Zbl 1364.93023
[14] Li, Z. K.; Wen, G. H.; Duan, Z. S.; Ren, W., Designing fully distributed consensus protocols for linear multi-agent systems with directed graphs, IEEE Transactions on Automatic Control, 60, 4, 1152-1157 (2015) · Zbl 1360.93035
[16] Mei, J.; Ren, W.; Chen, J., Consensus of second-order heterogeneous multi-agent systems under a directed graph, (The 2014 american control conference (2014), IEEE), 802-807
[17] Mei, J.; Ren, W.; Ma, G., Distributed containment control for lagrangian networks with parametric uncertainties under a directed graph, Automatica, 48, 4, 653-659 (2012) · Zbl 1238.93009
[18] Olfati-Saber, R.; Fax, J. A.; Murray, R. M., Consensus and cooperation in networked multi-agent systems, Proceedings of the IEEE, 95, 1, 215-233 (2007) · Zbl 1376.68138
[19] Qu, Z. H., Cooperative control of dynamical systems: Applications to autonomous vehicles (2009), Springer-Verlag: Springer-Verlag London, UK · Zbl 1171.93005
[20] Ren, W.; Beard, R. W.; Atkins, E. M., Information consensus in multivehicle cooperative control, IEEE Control Systems Magazine, 27, 2, 71-82 (2007)
[21] Seo, J. H.; Shim, H.; Back, J., Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach, Automatica, 45, 11, 2659-2664 (2009) · Zbl 1180.93005
[22] Su, Y.; Huang, J., Cooperative output regulation of linear multi-agent systems, IEEE Transactions on Automatic Control, 57, 4, 1062-1066 (2012) · Zbl 1369.93051
[23] Wieland, P.; Sepulchre, R.; Allgower, F., An internal model principle is necessary and sufficient for linear output synchronization, Automatica, 47, 5, 1068-1074 (2011) · Zbl 1233.93011
[24] Yu, W.; Chen, G. R.; Cao, M.; Kurths, J., Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 40, 3, 881-891 (2010)
[25] Zhang, H.; Lewis, F.; Das, A., Optimal design for synchronization of cooperative systems: State feedback, observer, and output feedback, IEEE Transactions on Automatic Control, 56, 8, 1948-1952 (2011) · Zbl 1368.93265
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.