On the cluster consensus of discrete-time multi-agent systems

被引:184
作者
Chen, Yao [1 ]
Lu, Jinhu [1 ,2 ]
Han, Fengling [3 ]
Yu, Xinghuo [2 ]
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
[2] RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
[3] RMIT Univ, Sch Comp Sci & Informat Technol, Melbourne, Vic 3001, Australia
基金
澳大利亚研究理事会; 中国国家自然科学基金;
关键词
Multi-agent systems; Cluster consensus; Nonnegative matrix; Markov chain; DYNAMICALLY CHANGING ENVIRONMENT; ADAPTIVE SYNCHRONIZATION;
D O I
10.1016/j.sysconle.2011.04.009
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Nowadays, multi-agent systems (MAS) are ubiquitous in the real world. Consensus is a fundamental natural phenomenon. Over the past decade, consensus of MAS has received increasing attention from various disciplines. This paper aims to further investigate a novel kind of cluster consensus of MAS with several different subgroups. Based on Markov chains and nonnegative matrix analysis, two novel cluster consensus criteria are obtained for MAS with fixed and switching topology, respectively. Furthermore, numerical simulations are also given to validate the effectiveness of these proposed criteria. The proposed cluster consensus criteria have some potential applications in real world engineering systems. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:517 / 523
页数:7
相关论文
共 28 条
[1]   CONVERGENCE SPEED OF UNSTEADY DISTRIBUTED CONSENSUS: DECAY ESTIMATE ALONG THE SETTLING SPANNING-TREES [J].
Angeli, David ;
Bliman, Pierre-Alexandre .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (01) :1-32
[2]  
[Anonymous], 2013, MATRIX ANAL
[3]  
Blondel VD, 2005, IEEE DECIS CONTR P, P2996
[4]   Agreeing asynchronously [J].
Cao, Ming ;
Morse, A. Stephen ;
Anderson, Brian D. O. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (08) :1826-1838
[5]   Reaching a consensus in a dynamically changing environment: A graphical approach [J].
Cao, Ming ;
Morse, A. Stephen ;
Anderson, Brian D. O. .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (02) :575-600
[6]   Reaching a consensus in a dynamically changing environment: Convergence rates, measurement delays, and asynchronous events [J].
Cao, Ming ;
Morse, A. Stephen ;
Anderson, Brian D. O. .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (02) :601-623
[7]   Consensus of Discrete-Time Multi-Agent Systems with Nonlinear Local Rules and Time-Varying Delays [J].
Chen, Yao ;
Lu, Jinhu ;
Lin, Zongli .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :7018-7023
[8]  
Guo WL, 2009, IEEE DECIS CONTR P, P3697, DOI 10.1109/CDC.2009.5400365
[9]   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
[10]  
Li S., ARXIVCS0407021