Robust Stability of a Multi-Agent System Under Arbitrary and Time-Varying Communication Topologies and Communication Delays

被引:36
作者
Popov, Andrey [1 ]
Werner, Herbert [2 ]
机构
[1] Scienlab Elect Syst GmbH, D-44801 Bochum, Germany
[2] Hamburg Univ Technol, Inst Control Syst, D-21073 Hamburg, Germany
关键词
Communication delay; formation control; multi-agent system; robust control; time-varying topology; CONSENSUS PROBLEMS; NETWORKS; AGENTS; DESIGN;
D O I
10.1109/TAC.2012.2186094
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 technical note considers formation control of a group of identical agents that can communicate with each other. A necessary and sufficient condition for robust stability in the case of arbitrary time-invariant communication topologies and sufficient conditions in the case of arbitrary time-varying topology and communication delays are derived, that reduce the stability analysis and controller design problems to analysis or synthesis, respectively, for a single agent.
引用
收藏
页码:2343 / 2347
页数:5
相关论文
共 22 条
[1]  
[Anonymous], 2001, Matrix Analysis and Applied Linear Algebra
[2]  
[Anonymous], 2008, LQR BASED COUPLING G
[3]   Average consensus problems in networks of agents with delayed communications [J].
Bliman, Pierre-Alexandre ;
Ferrari-Trecate, Giancarlo .
AUTOMATICA, 2008, 44 (08) :1985-1995
[4]  
Borrelli F, 2006, IEEE DECIS CONTR P, P5643
[5]   KRONECKER PRODUCTS AND MATRIX CALCULUS IN SYSTEM THEORY [J].
BREWER, JW .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1978, 25 (09) :772-781
[6]  
Callier F. M., 1991, Linear System Theory
[7]  
Chopra N., 2006, ADV ROBOT CONTROL EV, P107, DOI DOI 10.1007/978-3-540-37347-6._6
[8]   Output synchronization of nonlinear systems with time delay in communication [J].
Chopra, Nikhi. L. ;
Spong, Mark W. .
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, :4986-4992
[9]   CONTROLLER-DESIGN FOR PLANTS WITH STRUCTURED UNCERTAINTY [J].
DAHLEH, MA ;
KHAMMASH, MH .
AUTOMATICA, 1993, 29 (01) :37-56
[10]   Information flow and cooperative control of vehicle formations [J].
Fax, JA ;
Murray, RM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476