Stability and consensus for T-S fuzzy complex dynamical networks

• Published in: Proceedings of the 33rd Chinese Control Conference pp. 4614 - 4619
• Main Authors: Ao Dun, Lili Xia, Haijing Liu
• Format: Conference Proceeding
• Language: English
• 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
• DOI: 10.1109/ChiCC.2014.6895716

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.