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Consensus of linear multi-agent systems with stochastic noises and binary-valued communications
Wang, Ting1,2; Hu, Min1,2; Zhao, Yanlong1,2
2020-07-02
Source PublicationINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN1049-8923
Pages17
AbstractThis article studies consensus problems of discrete-time linear multi-agent systems with stochastic noises and binary-valued communications. Different from quantized consensus of first-order systems with binary-valued observations, the quantized consensus of linear multi-agent systems requires that each agent observes its neighbors' states dynamically. Unlike the existing quantized consensus of linear multi-agent systems, the information that each agent in this article gets from its neighbors is only binary-valued. To estimate its neighbors' states dynamically by using the binary-valued observations, we construct a two-step estimation algorithm. Based on the estimates, a stochastic approximation-based distributed control is proposed. The estimation and control are analyzed together in the closed-loop system, since they are strongly coupled. Finally, it is proved that the estimates can converge to the true states in mean square sense and the states can achieve consensus at the same time by properly selecting the coefficient in the estimation algorithm. Moreover, the convergence rate of the estimation and the consensus speed are both given byO(1/t). The theoretical results are illustrated by simulations.
Keywordbinary-valued communications consensus control convergence convergence rate estimation linear multi-agent systems
DOI10.1002/rnc.5031
Indexed BySCI
Language英语
Funding ProjectNational Key R&D Program of China[2018YFA0703800] ; National Natural Science Foundation of China[61803370] ; China Postdoctoral Science Foundation[2018M630216]
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000544647000001
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51709
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhao, Yanlong
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Wang, Ting,Hu, Min,Zhao, Yanlong. Consensus of linear multi-agent systems with stochastic noises and binary-valued communications[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2020:17.
APA Wang, Ting,Hu, Min,&Zhao, Yanlong.(2020).Consensus of linear multi-agent systems with stochastic noises and binary-valued communications.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,17.
MLA Wang, Ting,et al."Consensus of linear multi-agent systems with stochastic noises and binary-valued communications".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2020):17.
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