Novel distributed robust adaptive consensus protocols for linear multi-agent systems with directed graphs and external disturbances

被引:92
作者
Lv, Yuezu [1 ]
Li, Zhongkui [1 ]
Duan, Zhisheng [1 ]
Feng, Gang [2 ]
机构
[1] Peking Univ, Dept Mech & Engn Sci, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing, Peoples R China
[2] City Univ Hong Kong, Dept Mech & Biomed Engn, Hong Kong, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Multi-agent systems; cooperative control; consensus; distributed control; adaptive control; robustness; NONLINEAR DYNAMICS; OUTPUT-FEEDBACK; STATE-FEEDBACK; NETWORKS; DESIGN; SYNCHRONIZATION;
D O I
10.1080/00207179.2016.1172259
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper addresses the distributed consensus protocol design problem for linear multi-agent systems with directed graphs and external unmatched disturbances. Novel distributed adaptive consensus protocols are proposed to achieve leader-follower consensus for any directed graph containing a directed spanning tree with the leader as the root node and leaderless consensus for strongly connected directed graphs. It is pointed out that the adaptive protocols involve undesirable parameter drift phenomenon when bounded external disturbances exist. By using the s modification technique, distributed robust adaptive consensus protocols are designed to guarantee the ultimate boundedness of both the consensus error and the adaptive coupling weights in the presence of external disturbances. All the adaptive protocols in this paper are fully distributed, relying on only the agent dynamics and the relative states of neighbouring agents.
引用
收藏
页码:153 / 163
页数:11
相关论文
共 25 条
[1]  
[Anonymous], 1995, NONLINEAR ADAPTIVE C
[2]  
Bernstein DS, 2009, Matrix mathematics: theory, facts, and formulas, V2nd
[3]   CONTINUOUS STATE FEEDBACK GUARANTEEING UNIFORM ULTIMATE BOUNDEDNESS FOR UNCERTAIN DYNAMIC-SYSTEMS [J].
CORLESS, MJ ;
LEITMANN, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (05) :1139-1144
[4]   Consensus with quantized relative state measurements [J].
Guo, Meng ;
Dimarogonas, Dimos V. .
AUTOMATICA, 2013, 49 (08) :2531-2537
[5]   Distributed observers design for leader-following control of multi-agent networks [J].
Hong, Yiguang ;
Chen, Guanrong ;
Bushnell, Linda .
AUTOMATICA, 2008, 44 (03) :846-850
[6]  
Ioannou P., 1996, ROBUST ADAPTIVE CONT
[7]   Distributed Consensus With Limited Communication Data Rate [J].
Li, Tao ;
Fu, Minyue ;
Xie, Lihua ;
Zhang, Ji-Feng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (02) :279-292
[8]   Dynamic consensus of linear multi-agent systems [J].
Li, Z. ;
Duan, Z. ;
Chen, G. .
IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (01) :19-28
[9]  
Li ZK, 2014, CHIN CONTR CONF, P1632, DOI 10.1109/ChiCC.2014.6896873
[10]   Designing Fully Distributed Consensus Protocols for Linear Multi-Agent Systems With Directed Graphs [J].
Li, Zhongkui ;
Wen, Guanghui ;
Duan, Zhisheng ;
Ren, Wei .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (04) :1152-1157