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Controllability of Multi-Agent Systems Based on Leader Symmetry |
ZHANG Wei, JI Zhijian, QU Jijun
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School of Automation, Qingdao University, Qingdao 266071, China |
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Abstract This paper investigates the affection of automorphism on controllability for the multi-agent systems with leader-follower framework. By using graph theory and matrix theory, we obtain a criterion for determining the existence of automorphism structure of multi-agent systems. Based on the analyzing of automorphism, we point out the relationship between automorphism and controllability of, which provides a method on the aspect of graphics to identify judging the controllability. In addition, this paper also extends the single leader symmetric systems to the multi-leader symmetric systems, which investigates the controllability of leader selection, and provides the directions and methods for further researches on the controllability of complex topological structures
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Received: 14 May 2019
Published: 19 August 2019
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[1] |
Fax J A. Optimal and cooperative control of vehicle formations[D].Pasadena:California Institute Technology,2001.
|
[2] |
Jadbabaie A, Lin J, Morse A S. Coordination of groups of mobile autonomous agents using nearest neighbor rules[J].IEEE Trans on Automatic Control, 2003, 48(6): 988-1001.
|
[3] |
Fax J A, Murray R M. Information flow and cooperative control of vehicle formations[J]. IEEE Trans on Automatic Control, 2004, 49(9): 1465-1476.
|
[4] |
Olfti-Saber R, Murray R M. Consensus protocols for networks of dynamic agents[C]//Proc of American Control Conf, Denver, 2003: 951-956.
|
[5] |
Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays[J]. IEEE Trans on Automatic Control, 2004, 49(9):1520-1533.
|
[6] |
Bliman P A, Ferrari-Trecate G. Average consensus problems in networks of agents with delayed communications[J]. Automatica, 2008, 44(8): 1985-1995.
|
[7] |
Ren W, Beard R W. Consensus seeking in multi-agent systems under dynamically changing interaction topologies[J]. IEEE Trans on Automatic Control, 2005,50(5): 655-661.
|
[8] |
Blondel V, Hendrickx J M, Olshevsky A, et al. Convergence in multi-agent coordination, consensus, and flocking[C]//Proc of IEEE Conf Decision and Control,2005 and 2005 Eur Control Conf, Seville,2005: 2996-3000
|
[9] |
Tanner H G. On the controllability of nearest neighbor interconnections[C]//Proc of IEEE Conf Decision and Control, Atlantis, 2004: 2467-2472.
|
[10] |
Rahmani A, Mesbahi M. On the controlled agreement problem[C]//Proc of American Control Conf, Minneapolis,2006: 1376-1381.
|
[11] |
Ji M, Muhammad A, Egerstedt M. Leader-based multi-agent coordination: Controllability and optimal control[C]//Proc of American Control Conf, Minneapolis, 2006: 1358-1363.
|
[12] |
Ji M, Egerstedt M. A graph-theoretic characterization of controllability for multi-agent systems[C]//Proc of American Control Conf, New York, 2007: 4588-4593.
|
[13] |
Liu B, Xie G M, Chu T G, et al. Controllability of interconnected systems via switching networks with a leader[C]//IEEE Int Conf on Systems, Man and Cybernetics,Taipei, 2006: 3912-3916.
|
[14] |
Ji Z J, Lin H, Lee T H. Controllability of multi-agent systems with switching toplogy[C]//IEEE Int Conf on Robotics, Automation and Mechatronics, Chengdu, 2008:421-426.
|
[15] |
Ji Z J, Wang Z D, Lin H, et al. Controllability of multi-agent systems with time-delay in state and switching topology[J].Int J of Control, 2009, 83(2): 371-386.
|
[16] |
Zamani M, Lin H. Structural controllability of multi-agent systems[C]//Proc of American Control Conf, St Louis,2009: 5743-5748.
|
[17] |
Rahmani A, Ji M, Mesbahi M, et al. Controllability of multi-agent systems from a graph-theoretic perspective[J].SIAM Journal on Control and Optimization, 2009, 48(1):162-186.
|
[18] |
Martini S, Egerstedt M, Bicchi A. Controllability analysis of multi-agent systems using relaxed equitable partitions[J]. International Journal of Systems, Control and Communications, 2010, 2(1/2/3):100.
|
[19] |
张安慧,张世杰,陈健, 等.多智能体系统可控性的图论刻画[J]. 控制与决策,2011,26(11):1621-1626,1631.Zhang Anhui, Zhang Shijie, Chen Jian, et al. Graph theory characterization of controllability of multi-agent systems[J].Control and decision-making, 2011, 26 (11): 1621-1626, 1631.
|
[20] |
Zhang S, Camlibel M K, Cao M. Controllability of diffusively-coupled multi-agent systems with general and distance regular coupling topologies[C]∥Decision & Control & European Control Conference,IEEE,2011.
|
[21] |
Zhang S, Cao M, Camlibel M K. Upper and lower bounds for controllable subspaces of networks of diffusively coupled agents[J]. IEEE Transactions on Automatic Control, 2014, 59(3):745-750.
|
[22] |
Xue M, Roy S. Comment on “Upper and lower bounds for controllable subspaces of networks of diffusively-coupled agents”[J]. IEEE Transactions on Automatic Control, 2018,63(7):2306.
|
[23] |
Aguilar C O, Gharesifard B. On almost equitable partitions and network controllability[C]//American Control Conference. IEEE, 2016.
|
[24] |
Aguilar C O,Gharesifard B.Almost equitable partitions and new necessary conditions for network controllability[J].Automatica,2017,80:25-31.
|
[25] |
Ji M, Muhammad A, Egerstedt M. Leader-based multi-agent coordination: Controllability and optimal control[C]//American Control Conference, IEEE, 2006.
|
[26] |
Tanner H. On the controllability of nearest neighbor interconnections[C]//IEEE Conference on Decision & Control, IEEE, 2004.
|
[27] |
Xiang L, Zhu J J H, Chen F, et al. Controllability of weighted and directed networks with nonidentical node dynamics[J]. Mathematical Problems in Engineering, 2013, 2013(3):2996-3000.
|
[28] |
Martini S, Egerstedt M, Bicchi A. Controllability analysis of multi-agent systems using relaxed equitable partitions[J]. Int J of Systems, Control and Communications, 2010, 2(1/2/3): 100-121.
|
[29] |
Ji Z J,Wang Z D, Lin H, et al. Controllability of multi-agent systems with time-delay in state and switching topology[J].Int J of Control, 2009, 83(2): 371-386.
|
[30] |
Guan Y, Ji Z, Zhang L, et al. Controllability of multi-agent systems under directed topology[J]. International Journal of Robust and Nonlinear Control, 2016,89(5):1009-1024.
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