Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle

doi:10.1007/s11432-009-0177-7

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	Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle
	Li Tao; Zhang JiFeng
	2009-11-01
发表期刊	SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
ISSN	1009-2757
卷号	52 期号:11 页码:2089-2103
摘要	In this paper, sampled-data based average-consensus control is considered for networks consisting of continuous-time first-order integrator agents in a noisy distributed communication environment. The impact of the sampling size and the number of network nodes on the system performances is analyzed. The control input of each agent can only use information measured at the sampling instants from its neighborhood rather than the complete continuous process, and the measurements of its neighbors' states are corrupted by random noises. By probability limit theory and the property of graph Laplacian matrix, it is shown that for a connected network, the static mean square error between the individual state and the average of the initial states of all agents can be made arbitrarily small, provided the sampling size is sufficiently small. Furthermore, by properly choosing the consensus gains, almost sure consensus can be achieved. It is worth pointing out that an uncertainty principle of Gaussian networks is obtained, which implies that in the case of white Gaussian noises, no matter what the sampling size is, the product of the steady-state and transient performance indices is always equal to or larger than a constant depending on the noise intensity, network topology and the number of network nodes.
关键词	multi-agent systems average consensus stochastic systems sampled-data based control distributed stochastic approximation uncertainty principle
DOI	10.1007/s11432-009-0177-7
语种	英语
资助项目	Singapore Millennium Foundation ; National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60674308]
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000272033000013
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9099
专题	系统科学研究所
通讯作者	Zhang JiFeng
作者单位	Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li Tao,Zhang JiFeng. Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2009,52(11):2089-2103.
APA	Li Tao,&Zhang JiFeng.(2009).Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,52(11),2089-2103.
MLA	Li Tao,et al."Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 52.11(2009):2089-2103.