Stabilization of Chaotic Systems With T–S Fuzzy Model and Nonuniform Sampling: A Switched Fuzzy Control Approach

Abstract

This paper studies the problems of stability and stabilization of a class of chaotic systems (CSs) with Takagi-Sugeno fuzzy model and nonuniform sampling. It designs a fuzzy sampled-data protocol based on a switched idea to tackle the stability issue of such systems. Novel criteria on stabilization of CSs are established by employing a fuzzy membership function (FMF)-dependent Lyapunov functional and the information of the time derivative of FMFs, which significantly utilize the available characteristics of the actual sampling pattern and FMFs simultaneously. Unlike the existing works, a larger sampling interval is obtained by this new approach. A simulation example on chaotic Rossler's system is employed to demonstrate the superiority and reduced conservatism of the proposed method.