Consentability and protocol design of multi-agent systems with stochastic switching topology

被引：329

作者：

Zhang, Ya ^{[1
]}

Tian, Yu-Ping ^{[1
]}

机构：

[1] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China

来源：

AUTOMATICA | 2009年 / 45卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Consensus; Consentability; Multi-agent systems; Markov-switching topology; Cooperative control; CONSENSUS SEEKING; STABILITY; AGENTS;

D O I：

10.1016/j.automatica.2008.11.005

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 studies the mean square consentability problem for a network of double-integrator agents with stochastic switching topology. It is proved that in Markov-switching topologies, the network is mean square consentable under linear consensus protocol if and only if the union of graphs in the switching topology set has globally reachable nodes. A necessary and sufficient condition of the mean square consensus is obtained. Finally, an LMI approach to the design of the consensus protocol is presented. Numerical simulations are given to illustrate the results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1195 / 1201

页数：7

共 17 条

[1] STABILITY RESULTS FOR DISCRETE-TIME LINEAR-SYSTEMS WITH MARKOVIAN JUMPING PARAMETERS [J].

COSTA, OLV ;

FRAGOSO, MD .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (01) :154-178

[2] A cone complementarity linearization algorithm for static output-feedback and related problems [J].

ElGhaoui, L ;

Oustry, F ;

AitRami, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1171-1176

[3] Agreement over random networks [J].

Hatano, Y ;

Mesbahi, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1867-1872

[4] 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

[5] 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

[6] Stability of multiagent systems with time-dependent communication links [J].

Moreau, L .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :169-182

[7] Consensus problems in networks of agents with switching topology and time-delays [J].

Olfati-Saber, R ;

Murray, RM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1520-1533

[8] Consensus and cooperation in networked multi-agent systems [J].

Olfati-Saber, Reza ;

Fax, J. Alex ;

Murray, Richard M. .

PROCEEDINGS OF THE IEEE, 2007, 95 (01) :215-233

[9] Consensus seeking over random weighted directed graphs [J].

Porfiri, Maurizio ;

Stilwell, Daniel J. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (09) :1767-1773

[10] Consensus seeking in multiagent systems under dynamically changing interaction topologies [J].

Ren, W ;

Beard, RW .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :655-661

← 1 2 →