Consensus control for leader-following multi-agent systems with measurement noises

被引:178
作者
Ma, Cuiqin [1 ]
Li, Tao [2 ]
Zhang, Jifeng [2 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
基金
中国国家自然科学基金;
关键词
Consensus protocol; leader-following; multi-agent system; stochastic noise; AGENTS;
D O I
10.1007/s11424-010-9273-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This work is concerned with consensus control for a class of leader-following multi-agent systems (MASs). The information that each agent received is corrupted by measurement noises. To reduce the impact of noises on consensus, time-varying consensus gains are adopted, based on which consensus protocols are designed. By using the tools of stochastic analysis and algebraic graph theory, a sufficient condition is obtained for the protocol to ensure strong mean square consensus under the fixed topologies. This condition is shown to be necessary and sufficient in the noise-free case. Furthermore, by using a common Lyapunov function, the result is extended to the switching topology case.
引用
收藏
页码:35 / 49
页数:15
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