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Group Consensus of Second-Order Dynamic Multi-Agent Systems with Time-Varying Communication Delays and Directed Networks
Shuanghe MENG, Lv XU, Liang CHEN
Journal of Systems Science and Information ›› 2016, Vol. 4 ›› Issue (3) : 258-268.
PDF(162 KB)
PDF(162 KB)
Group Consensus of Second-Order Dynamic Multi-Agent Systems with Time-Varying Communication Delays and Directed Networks
This paper studies the group consensus problem for second-order multi-agent dynamic systems with time-varying delays, where the agents in a network may reach one more consistent values asymptotically. The fixed network topology is in case of being directed and weakly connected. Based on algebraic graph theory and Lyapunov function approach, we propose some sufficient conditions for reaching group consensus. All the results are presented in the form of linear matrix inequalities(LMIs).A simulation example is provided to demonstrate the effectiveness of the theoretical analysis.
group consensus / second-order multi-agent systems / directed network / time-varying communication delays / LMIs {{custom_keyword}} /
[1] Reynolds C. Flocks, herds, and schools: A distributed behavioral model. Computers & Graphics, 1987, 21(4): 25-34.
[2] Viseck T, Czir´ok A, Ben J E, et al. Novel type of phase transition in a system of self-driven particles. Physical Review Letters, 1995, 75(6): 1226-1229.
[3] Olfati-Saber R, Murray R M. Consensus protocols in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 2004, 49(9): 1520-1533.
[4] Bullo F, Cort´es J, Piccoli B. Special issue on control and optimization in cooperative networks. SIAM Journal on Control & Optimization, 2009, 48(1): vii.
[5] Jadbabaie A, Lin J, Morse A S. Erratum: Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, 2003, 48(9): 1675-1675.
[6] Sun Y G, Wang L. Consensus of multi-agent systems in directed networks with nonuniform time-varying delays. IEEE Transactions on Automatic Control, 2009, 54(7): 1607-1613.
[7] Tian Y P, Liu C L. Consensus of multi-agent systems with diverse input and communication delays. IEEE Transactions on Automatic Control, 2008, 53(9): 2122-2128.
[8] Yu W, Zheng W X, Chen G, et al. Second-order consensus in multi-agent dynamical systems with sampled position data. Automatica, 2011, 47(7): 1496-1503.
[9] Lin P, Jia Y M. Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies. Automatica, 2009, 45(9): 2154-2158.
[10] Ren W, Atkins E. Distributed multi-vehicle coordinated control via local information exchange. International Journal of Robust & Nonlinear Control, 2007, 17(10-11): 1002-1033.
[11] Yu W, Chen G, Cao M. Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems. Automatica, 2010, 46(6): 1089-1095.
[12] Xie G, Wang L. Consensus control for a class of networks of dynamic agents. International Journal of Robust & Nonlinear Control, 2007, 17(10-11): 941-959.
[13] Zhu W, Cheng D. Cheng, Leader-following consensus of second-order agents with multiple time-varying delays. Automatica, 2010, 46(12): 1994-1999.
[14] Ren W, Moore K, Chen Y Q. High-Order consensus algorithms in cooperative vehicle systems. Proceedings of the 2006 IEEE International Conference on ICNSC, 06. 2006: 457-462.
[15] Xiao F, Wang L. Consensus problems for high-dimensional multi-agent systems. IET Control Theory & Applications, 2007, 1(3): 830-837.
[16] Wang J, Liu Z, Hu X. Consensus of high order linear multi-agent systems using output error feedback. Proceedings of the 48th IEEE Conference on Decision and the 28th Chinese Control Conference, 2009: 3685-3690.
[17] Seo J H, Shim H, Back J. High-order consensus of MIMO linear dynamic systems via stable compensator. Proceedings of European Control Conference (ECC), 2009: 773-778.
[18] Zhai G, Okuno S, Imae J, et al. A new consensus algorithm for multi-Agent systems via dynamic output feedback control. Control Applications & Intelligent Control, 2009: 890-895.
[19] Zhou B, Lin Z. Consensus of high-order multi-agent systems with input and communication delays-state feedback case. Proceedings of American Control Conference (ACC), 2013: 4027-4032.
[20] Yu J, Wang L. Group consensus of multi-agent systems with undirected communication graphs. Proceedings of Asian Control Conference (ACC), 2009: 105-110.
[21] Yu J, Wang L. Group consensus of multi-agent systems with directed information exchange. International Journal of Systems Science, 2012, 43(2): 334-348.
[22] Yu J, Wang L. Group consensus in multi-agent systems with switching topologies and communication delays. Systems & Control Letters, 2010, 59(6): 340-348.
[23] Ma Q, Wang Z, Miao G. Second-order group consensus for multi-agent systems via pinning leader-following approach. Journal of the Franklin Institute, 2014, 351(3): 1288-1300.
[24] Xie D, Liang T. Second-order group consensus for multi-agent systems with time delays. Neurocomputing, 2015, 153: 133-139.
[25] Boyd B P, Ghaoui L E, Feron E, et al. Linear matrix inequalities in system and control theory. Society for Industrial and Applied, Philadelphia, 1994.
[26] Kwon O M, Lee S M, Ju H P, et al. New approaches on stability criteria for neural networks with interval time-varying delays. Applied Mathematics & Computation, 2012, 218(19): 9953-9964.
Supported by National Natural Science Foundation of China (612731200)
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