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FINITE-LEVEL QUANTIZED SYNCHRONIZATION OF DISCRETE-TIME LINEAR MULTIAGENT SYSTEMS WITH SWITCHING TOPOLOGIES
Meng, Yang1,2; Li, Tao2,3; Zhang, Ji-Feng4,5
2017
Source PublicationSIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN0363-0129
Volume55Issue:1Pages:275-299
AbstractIn this paper, the synchronization of discrete-time linear multiagent systems is studied with finite communication data rate and switching topology flows. A class of quantized-observer-based communication schemes and a class of certainty-equivalence-principle-based cooperative control laws are proposed with adaptive encoders and decoders. It is shown that if the pairs of agents' state matrices and control matrices multiplied by Laplacian eigenvalues of the weakly connected components are simultaneously stabilizable, and the communication topology flow is frequently connected, then there exist such protocols leading to synchronization exponentially fast. Furthermore, only finite bits of information exchange per step are required to guarantee the synchronization if the communication channels are frequently active. For first-order dynamics, the dwell time and the number of bits are both related to the unstable mode of agent dynamics, the number of agents, the frequency of connectivity, and the Laplacian eigenvalue ratio of the switching topology flow.
Keywordsynchronization linear multiagent system quantized observer switching topology flow
DOI10.1137/15M1046174
Language英语
Funding ProjectNational Natural Science Foundation of China[61522310] ; Shanghai Rising-Star Program[15QA1402000] ; National Key Basic Research Program of China (973 Program)[2014CB845301]
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000396679400011
PublisherSIAM PUBLICATIONS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24840
Collection系统科学研究所
Corresponding AuthorLi, Tao
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Shanghai Key Lab Power Stn Automat Technol, Shanghai 200072, Peoples R China
3.East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Meng, Yang,Li, Tao,Zhang, Ji-Feng. FINITE-LEVEL QUANTIZED SYNCHRONIZATION OF DISCRETE-TIME LINEAR MULTIAGENT SYSTEMS WITH SWITCHING TOPOLOGIES[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2017,55(1):275-299.
APA Meng, Yang,Li, Tao,&Zhang, Ji-Feng.(2017).FINITE-LEVEL QUANTIZED SYNCHRONIZATION OF DISCRETE-TIME LINEAR MULTIAGENT SYSTEMS WITH SWITCHING TOPOLOGIES.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,55(1),275-299.
MLA Meng, Yang,et al."FINITE-LEVEL QUANTIZED SYNCHRONIZATION OF DISCRETE-TIME LINEAR MULTIAGENT SYSTEMS WITH SWITCHING TOPOLOGIES".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 55.1(2017):275-299.
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