Exponential Consensus of Multiagent Systems with Lipschitz Nonlinearities Using Sampled-Data Information

Fu, J, Wen, G, Yu, W, Huang, T and Cao, J 2018, 'Exponential Consensus of Multiagent Systems with Lipschitz Nonlinearities Using Sampled-Data Information', IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 65, no. 12, pp. 4363-4375.


Document type: Journal Article
Collection: Journal Articles

Title Exponential Consensus of Multiagent Systems with Lipschitz Nonlinearities Using Sampled-Data Information
Author(s) Fu, J
Wen, G
Yu, W
Huang, T
Cao, J
Year 2018
Journal name IEEE Transactions on Circuits and Systems I: Regular Papers
Volume number 65
Issue number 12
Start page 4363
End page 4375
Total pages 13
Publisher Institute of Electrical and Electronics Engineers
Abstract In this paper, exponential consensus of general linear multiagent systems with Lipschitz nonlinear dynamics using sampled-data information is investigated. Both leaderless and leader-following consensuses are considered. Using input-delay approach, the resulting sampled-data closed-loop systems are first reformulated as continuous systems with time-varying delay in the control input. Then, decoupled conditions in terms of linear matrix equality (LMI) on the Lipschitz constant, the decay rate, the communication graph parameters, and the control gain matrix to guarantee exponential consensus are derived using novel Lyapunov functionals. Based on the sufficient conditions, controller design methods are also provided in the form of decoupled LMIs. Finally, simulation examples including the consensus of Chua's circuit systems are given to illustrate the effectiveness of the obtained results.
Subject Complex Physical Systems
Keyword(s) Multi-agent system
exponential consensus
Lipschitz nonlinearity
sampled-data information
Chuas circuit system
DOI - identifier 10.1109/TCSI.2018.2833166
Copyright notice © 2018 IEEE
ISSN 1549-8328
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