Distributed consensus for multi-agent systems with delays and noises in transmission channels

被引：228

作者：

Liu, Shuai ^{[2
]}

Xie, Lihua ^{[2
]}

Zhang, Huanshui ^{[1
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250100, Peoples R China

[2] Nanyang Technol Univ, Sch EEE, Singapore 639798, Singapore

来源：

AUTOMATICA | 2011年 / 47卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Multi-agent systems; Delay systems; Transmission noises; Mean square consensus; Strong consensus; DYNAMICALLY CHANGING ENVIRONMENT; AVERAGE CONSENSUS; ALGORITHMS; NETWORKS; AGENTS; CONVERGENCE; COORDINATION; SEEKING;

D O I：

10.1016/j.automatica.2011.02.003

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 distributed consensus problem for linear discrete-time multi-agent systems with delays and noises in transmission channels. Due to the presence of noises and delays, existing techniques such as the lifting technique and the stochastic Lyapunov theory are no longer applicable to the analysis of consensus. In this paper, a novel technique is introduced to overcome the difficulties induced by the delays and noises. A consensus protocol with decaying gains satisfying persistence condition is adopted. Necessary and sufficient conditions for strong consensus and mean square consensus are respectively given for non-leader-follower and leader-follower cases under a fixed topology. Under dynamically switching topologies and randomly switching topologies, sufficient conditions for strong consensus and mean square consensus are also obtained. Numerical examples are given to demonstrate the effectiveness of the proposed protocols. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：920 / 934

页数：15

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