Containment Control for Fuzzy Multi-Agent Systems Subject to Stochastic Controller Gain Variation

This paper studies the containment control problem for a kind of nonlinear discrete-time multi-agent systems (MASs)with stochastic controller gain variation. More specifically, the nonlinear dynamics of MASs are modeled by the discrete-time Takagi-Sugeno (T-S)fuzzy systems, which can approximate man...

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Bibliographic Details
Published in2018 5th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS) pp. 381 - 386
Main Authors Xu, Zhenhua, Xiang, Bingtong, Ni, Hongjie, Zhang, Dan
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2018
Subjects
Control systems
Linear matrix inequalities
Marine vehicles
Multi-agent systems
Multi-agent systems (MASs)
Nonlinear systems
Protocols
Stochastic processes
Stochastic Uncertainty
Takagi-Sugeno fuzzy systems
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ISSN2639-4235
DOI10.1109/ICCSS.2018.8572454

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Summary:This paper studies the containment control problem for a kind of nonlinear discrete-time multi-agent systems (MASs)with stochastic controller gain variation. More specifically, the nonlinear dynamics of MASs are modeled by the discrete-time Takagi-Sugeno (T-S)fuzzy systems, which can approximate many practical nonlinear systems in reality. Firstly, by introducing a stochastic variable and an uncertain term in the control protocol, a stochastic uncertain closed-loop system is derived that captures the stochastic controller gain variation phenomenon. By means of the Lyapunov stability theory and linear matrix inequality (LMI)technique, a novel sufficient condition is obtained such that containment control for such a kind of nonlinear systems is achieved. Then, after some matrices manipulation, the controller gains are calculated by solving some LMIs. A numerical study is finally proposed for the validation of the controller design.
ISSN:2639-4235
DOI:10.1109/ICCSS.2018.8572454