Interconnection topologies for multi-agent coordination under leader-follower framework

被引:182
作者
Ji, Zhijian [1 ]
Wang, Zidong [2 ]
Lin, Hai [3 ]
Wang, Zhen [1 ]
机构
[1] Qingdao Univ, Coll Automat Engn, Qingdao 266071, Shandong, Peoples R China
[2] Brunel Univ, Dept Informat Syst & Comp, Uxbridge UB8 3PH, Middx, England
[3] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore
基金
中国国家自然科学基金;
关键词
Multi-agent systems; Controllability; Local interactions; Leader-follower structure; CONSENSUS PROBLEMS; NETWORKS; AGENTS; CONTROLLABILITY; SYSTEMS;
D O I
10.1016/j.automatica.2009.09.002
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the formation control problem of the network of multiple agents is studied in terms of controllability, where the network is of the leader-follower structure with some agents taking leaders role and others being followers interconnected via the neighbor-based rule. It is shown that the controllability of a multi-agent system can be uniquely determined by the topology structure of interconnection graph. for which the investigation comes down to that for a multi-agent system with the interconnection graph being connected. Based on these observations, two kinds of uncontrollable interconnection topologies are characterized, and a necessary and sufficient eigenvector-based condition is presented. Our studies also touch upon the selection of leaders. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2857 / 2863
页数:7
相关论文
共 18 条
[1]  
[Anonymous], P 47 IEEE C DEC CONT
[2]   Average consensus problems in networks of agents with delayed communications [J].
Bliman, Pierre-Alexandre ;
Ferrari-Trecate, Giancarlo .
AUTOMATICA, 2008, 44 (08) :1985-1995
[3]   The largest two Laplacian eigenvalues of a graph [J].
Das, KC .
LINEAR & MULTILINEAR ALGEBRA, 2004, 52 (06) :441-460
[4]   Information flow and cooperative control of vehicle formations [J].
Fax, JA ;
Murray, RM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476
[5]  
Godsil C., 2001, ALGEBRAIC GRAPH THEO
[6]   Lyapunov-based approach to multiagent systems with switching jointly connected interconnection [J].
Hong, Yiguang ;
Gao, Lixin ;
Cheng, Daizhan ;
Hu, Jiangping .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) :943-948
[7]   Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].
Jadbabaie, A ;
Lin, J ;
Morse, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001
[8]  
Ji M, 2007, P AMER CONTR CONF, P5242
[9]  
LI Z, 2008, P 47 IEEE C DEC CONT, P5262
[10]   Necessary and sufficient graphical conditions for formation control of unicycles [J].
Lin, ZY ;
Francis, B ;
Maggiore, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (01) :121-127