Dissipativity Analysis for Discrete-Time T-S Fuzzy Systems With Time-Varying Delay and Stochastic Perturbation

This paper addresses the problems of dissipativity analysis for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying state delay and stochastic perturbation. Firstly, the uncertainty of state delay is pulled out of the original system by a novel model transformation process. Consequently the transformed model, which consists of a linear time-invariant system and a norm-bounded uncertain subsystem, is obtained to simplify the dissipativity analysis. By using this model transformation method combined with the Lyapunov-Krasovskii technique, sufficient conditions of the dissipativity are established. Finally, two examples are presented: one shows the effectiveness of model transformation method, and the other presents comparisons with alternative approaches.