H∞ consensus of second-order multi-agent systems with asymmetric delays

被引：37

作者：

Sun, Yuangong ^{[1
]}

Wang, Long ^{[2
]}

机构：

[1] Univ Jinan, Shandong Prov Key Lab Network Based Intelligent C, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

[2] Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2012年 / 61卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Multi-agent system; H-infinity consensus; Model transformation; Asymmetric delay; TIME-VARYING DELAYS; DYNAMIC AGENTS; ASYNCHRONOUS CONSENSUS; DISTRIBUTED CONSENSUS; SWITCHING TOPOLOGY; NETWORKS; STABILITY; COORDINATION; ALGORITHMS; FLOCKING;

D O I：

10.1016/j.sysconle.2012.05.007

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 is concerned with the problem of consensus in the H-infinity sense for second-order continuous-time multi-agent systems with multiple asymmetric time-varying delays. By using a model transformation approach and matrix theory, we establish several conditions in terms of linear matrix inequalities such that consensus of multi-agent systems can be achieved in the H-infinity sense. The feasibility of the consensus conditions is also analyzed. As an application, we consider the case of intermittent measurement between agents. Numerical examples are presented to illustrate the theoretical results which can be applied to the case of negative information weights. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：857 / 862

页数：6

共 26 条

[1] Non-linear protocols for optimal distributed consensus in networks of dynamic agents [J].

Bauso, D. ;

Giarre, L. ;

Pesenti, R. .

SYSTEMS & CONTROL LETTERS, 2006, 55 (11) :918-928

[2] Consensus of multiple double-integrator agents with intermittent measurement [J].

Gao, Yanping ;

Wang, Long .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (10) :1140-1155

[3] Asynchronous consensus of continuous-time multi-agent systems with intermittent measurements [J].

Gao, Yanping ;

Wang, Long .

INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (03) :552-562

[4] Consensus of multi-agent systems based on sampled-data control [J].

Gao, Yanping ;

Wang, Long ;

Xie, Guangming ;

Wu, Bin .

INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (12) :2193-2205

[5] On delay-dependent stability and decay estimate for uncertain systems with time-varying delay [J].

Gu, YR ;

Wang, SC ;

Li, QQ ;

Cheng, ZQ ;

Qian, JX .

AUTOMATICA, 1998, 34 (08) :1035-1039

[6] Leader-foll owing coordination of multi-agent systems with coupling time delays [J].

Hu, Jiangping ;

Hong, Yiguang .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 374 (02) :853-863

[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] Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions [J].

Li, Tao ;

Zhang, Ji-Feng .

AUTOMATICA, 2009, 45 (08) :1929-1936

[9] Distributed robust H∞ consensus control in directed networks of agents with time-delay [J].

Lin, Peng ;

Jia, Yingmin ;

Li, Lin .

SYSTEMS & CONTROL LETTERS, 2008, 57 (08) :643-653

[10] Consensus of a Class of Second-Order Multi-Agent Systems With Time-Delay and Jointly-Connected Topologies [J].

Lin, Peng ;

Jia, Yingmin .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (03) :778-784

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