Distributed H∞ control of multi-agent systems with directed networks

doi:10.1088/1674-1056/24/9/090208

中国物理B ›› 2015, Vol. 24 ›› Issue (9): 90208-090208.doi: 10.1088/1674-1056/24/9/090208

Distributed H_∞ control of multi-agent systems with directed networks

刘伟, 柳爱利, 周绍磊

Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China

收稿日期:2014-12-23 修回日期:2015-03-16 出版日期:2015-09-05 发布日期:2015-09-05

Distributed H_∞ control of multi-agent systems with directed networks

Liu Wei (刘伟), Liu Ai-Li (柳爱利), Zhou Shao-Lei (周绍磊)

Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China

Received:2014-12-23 Revised:2015-03-16 Online:2015-09-05 Published:2015-09-05
Contact: Liu Wei E-mail:weiliu.sd.china@hotmail.com

摘要/Abstract

摘要： This paper studies the distributed H_∞ control problem of identical linear time invariant multi-agent systems subject to external disturbances. A directed graph containing a spanning tree is used to model the communication topology. Based on the relative states of the neighbor agents and a subset of absolute states of the agents, distributed static H_∞ controllers are proposed. The concept of an H_∞ performance region is extended to the directed graph situation. Then the results are used to solve the leader-follower H_∞ consensus problem. Sufficient conditions are proposed based on bounded real lemma and algebraic graph theory. The effectiveness of the theoretical results is illustrated via numerical simulations.

关键词: multi-agent systems, H_∞ control, performance region, leader-follower H_∞ consensus

Abstract: This paper studies the distributed H_∞ control problem of identical linear time invariant multi-agent systems subject to external disturbances. A directed graph containing a spanning tree is used to model the communication topology. Based on the relative states of the neighbor agents and a subset of absolute states of the agents, distributed static H_∞ controllers are proposed. The concept of an H_∞ performance region is extended to the directed graph situation. Then the results are used to solve the leader-follower H_∞ consensus problem. Sufficient conditions are proposed based on bounded real lemma and algebraic graph theory. The effectiveness of the theoretical results is illustrated via numerical simulations.

Key words: multi-agent systems, H_∞ control, performance region, leader-follower H_∞ consensus

中图分类号: (Control theory)

02.30.Yy

89.75.-k (Complex systems) 05.65.+b (Self-organized systems) 05.45.Xt (Synchronization; coupled oscillators)

刘伟, 柳爱利, 周绍磊. Distributed H_∞ control of multi-agent systems with directed networks[J]. 中国物理B, 2015, 24(9): 90208-090208.

Liu Wei (刘伟), Liu Ai-Li (柳爱利), Zhou Shao-Lei (周绍磊). Distributed H_∞ control of multi-agent systems with directed networks[J]. Chin. Phys. B, 2015, 24(9): 90208-090208.

参考文献 25

[1]	Jadbabaie A, Lin J and Morse A S 2003 IEEE Trans. Autom. Control 48 988
[2]	Fax J A and Murry R M 2004 IEEE Trans. Autom. Control 49 1465
[3]	Borrelli F and Keviczeky T 2008 IEEE Trans. Autom. Control 53 1901
[4]	Ajorlou A, Momeni A and Aghdam A G 2010 IEEE Trans. Autom. Control 55 2828
[5]	Olfati-Saber R 2006 IEEE Trans. Autom. Control 51 401
[6]	Vicsek T, Czirók A, Jacob E B, Cohen I and Schochet O 1995 Phys. Rev. Lett. 75 1226
[7]	Ren W and Beard R W 2005 IEEE Trans. Autom. Control 50 655
[8]	Tuna S 2008 Automatica 44 2179
[9]	Ma C Q and Zhang J F 2010 IEEE Trans. Autom. Control 55 1263
[10]	Guo L X, Hu M F, Hu A H and Xu Z Y 2014 Chin. Phys. B 23 050508
[11]	Li Z K, Duan Z S, Chen G R and Huang L 2010 IEEE Trans. Circuits Syst. I: Reg. Papers 57 213
[12]	Massioni P and Verhaegen M 2009 IEEE Trans. Autom. Control 54 124
[13]	Li Z K, Duan Z S and Huang L 2009 J. Syst. SCI Complex 22 35
[14]	Li Z K, Duan Z S and Chen G R 2011 Automatica 47 797
[15]	Wang J Y, Duan Z S, Zhao Y, Qin G Z and Yan Y X 2013 Int. J. Control 86 2131
[16]	Li Z, Liu X, Fu M and Xie L 2012 IET Control Theory Appl. 6 2041
[17]	Wang J Y, Duan Z S, Li Z K and Wen G H 2014 IET Control Theory Appl. 8 193
[18]	Ni W and Cheng D Z 2010 Systems Control Lett. 59 209
[19]	Wu Z H, Peng L, Xie L B and Wen J W 2013 Chin. Phys. B 22 128901
[20]	Sun F L and Zhu W 2013 Chin. Phys. B 22 110204
[21]	Zhang X J, Cui B T and Lou K 2014 Chin. Phys. B 23 110205
[22]	Zhang Y J, Yang Y, Zhao Y and Wen G H 2013 Int. J. Control 86 29
[23]	Zhou K and Doyle J 1997 Essential of Robust Control (Upper Saddle River: Prentice Hall)
[24]	Gahinet P and Apkarian P 1994 Int. J. Robust Nonlinear Control 4 421
[25]	Chen C 1984 Linear System Theory and Design (New York: Oxford University)

Distributed H_∞ control of multi-agent systems with directed networks

Distributed H_∞ control of multi-agent systems with directed networks

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