Stability and consensus for T-S fuzzy complex dynamical networks

This paper investigates the H ∞ stability and consensus of discrete-time nonlinear complex dynamical network systems based on T-S fuzzy model. The nonlinear complex dynamical network system consists of N discrete-time T-S fuzzy subsystems. Parallel distributed compensation algorithm and Lyapunov met...

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Bibliographic Details
Published inProceedings of the 33rd Chinese Control Conference pp. 4614 - 4619
Main Authors Ao Dun, Lili Xia, Haijing Liu
Format Conference Proceeding
LanguageEnglish
Published TCCT, CAA 01.07.2014
Subjects
Biological system modeling
Complex dynamical network
Complex networks
Fuzzy control
H ∞ controller
Lead
LMIs(linear matrix inequalities)
Numerical stability
Silicon
Stability analysis
T-S fuzzy model
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Summary:This paper investigates the H ∞ stability and consensus of discrete-time nonlinear complex dynamical network systems based on T-S fuzzy model. The nonlinear complex dynamical network system consists of N discrete-time T-S fuzzy subsystems. Parallel distributed compensation algorithm and Lyapunov method are applied to design an H ∞ decentralized fuzzy controller. By considering the characteristic of interconnection matrix of the network, the test of the stability of a network is separated in to the test of the stability of the several nonlinear systems. Furthermore, the consensus problem for the leader-follower complex dynamical network is considered. And the proposed criterion can be obtained by solving a set of linear matrix inequalities(LMIs) which are numerically feasible. The effectiveness of the proposed methods is demonstrated through numerical examples.
ISSN:2161-2927
DOI:10.1109/ChiCC.2014.6895716