Abstract
In this paper, the target aggregation is investigated for a multi-agent system consisting of second-order agents and multiple leaders. Sufficient conditions are proposed to make the agents approach the target set spanned by these moving leaders. With the condition on switching interconnection topologies, all mobile agents can asymptotically track the dynamical target set specified by multiple moving leaders with bounded error. Moreover, discussion on the case with static leaders is also given.
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References
A. Jadbabaie, J. Lin, and A. Morse, Coordination of groups of mobile agents using nearest neighbor rules, IEEE Trans. Automatic Control, 2003, 48(6): 988–1001.
Y. Hong and X. Wang, Multi-agent tracking of a high-dimensional active leader with switching topology, Journal of Systems Science & Complexity, 2009, 22(4): 722–731.
I. D. Couzin, J. Krause, N. Franks, and S. Levin, Effective leadership and decisionmaking in animal groups on the move, Nature, 2005, 433(3): 513–516.
G. Shi and Y. Hong, Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies, Automatica, 2009, 45(5): 1165–1175.
M. Ji, G. Ferrari-Trecate, M. Egerstedt, and A. Buffa, Containment control in mobile networks, IEEE Trans. Automatic Control, 2008, 53(8): 1972–1975.
G. Shi, Y. Hong, and K. H. Johansson, Connectivity and set tracking of multi-agent systems guided by multiple moving leaders, IEEE Trans. Automatic Control, 2012, 57(3): 663–676.
Y. Cao and W. Ren, Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: Algorithms and experiments, IEEE Trans. Control Systems Technology, 2010, 99: 1–10.
Z. Meng, W. Ren, and Z. You, Distributed finite-time attitude containment control for multiple rigid bodies, Automatica, 2010, 46(12): 2092–2099.
G. Notarstefano, M. Egerstedt, and M. Haqueb, Containment in leader-follower networks with switching communication topologies, Automatica, 2011, 47(5): 1035–1040.
Y. Hong, L. Gao, D. Cheng, and J. Hu, Lyapuov-based approach to multi-agent systems with switching jointly connected interconnection, IEEE Trans. Automatic Control, 2007, 52(5): 943–948.
D. Cheng, J. Wang, and X. Hu, An extension of LaSalle’s invariance principle and its application to multi-agent consensus, IEEE Trans. Automatic Control, 2008, 53(7): 1765–1770.
P. Lin and Y. Jia, Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies, Automatica, 2009, 45(9): 2154–2158.
C. Godsil and G. Royle, Algebraic Graph Theory, Springer-Verlag, New York, 2001.
M. Porfiri and D. J. Stilwell, Consensus seeking over random weighted directed graphs, IEEE Trans. Automatic Control, 2007, 52(9): 1767–1773.
R. T. Rockafellar, Convex Analysis, Princeton University Press, New Jersey, 1972.
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This research was supported in part by the National Natural Science Foundation of China under Grant Nos. 60874018, 60736022, and 60821091.
This paper was recommended for publication by Editor Jing HAN.
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Lou, Y., Hong, Y. & Shi, G. Target aggregation of second-order multi-agent systems with switching interconnection. J Syst Sci Complex 25, 430–440 (2012). https://doi.org/10.1007/s11424-012-0329-5
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DOI: https://doi.org/10.1007/s11424-012-0329-5