Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions

doi:10.1016/j.automatica.2009.04.017

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	Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions
	Li, Tao; Zhang, Ji-Feng
	2009-08-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	45 期号:8 页码:1929-1936
摘要	In this paper, average-consensus control is considered for networks of continuous-time integrator agents under fixed and directed topologies. The control input of each agent can only use its local state and the states of its neighbors corrupted by white noises. To attenuate the measurement noises, time-varying consensus gains are introduced in the consensus protocol. By combining the tools of algebraic graph theory and stochastic analysis, the convergence of these kinds of protocols is analyzed. Firstly, for noise-free cases, necessary and sufficient conditions are given on the network topology and consensus gains to achieve average-consensus. Secondly, for the cases with measurement noises, necessary and sufficient conditions are given on the consensus gains to achieve asymptotic unbiased mean square average-consensus. It is shown that under the protocol designed, all agents' states converge to a common Gaussian random variable, whose mathematical expectation is just the average of the initial states. (C) 2009 Elsevier Ltd. All rights reserved.
关键词	Multi-agent systems Average-consensus Distributed coordination Distributed estimation Stochastic systems
DOI	10.1016/j.automatica.2009.04.017
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000268651300020
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7402
专题	系统科学研究所
通讯作者	Zhang, Ji-Feng
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Tao,Zhang, Ji-Feng. Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions[J]. AUTOMATICA,2009,45(8):1929-1936.
APA	Li, Tao,&Zhang, Ji-Feng.(2009).Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions.AUTOMATICA,45(8),1929-1936.
MLA	Li, Tao,et al."Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions".AUTOMATICA 45.8(2009):1929-1936.