New Methods of Fuzzy Sampled-Data Control for Stabilization of Chaotic Systems

Abstract

This paper focuses on developing new design methods of the sampled-data controller for chaotic systems which are represented as Takagi–Sugeno (T–S) fuzzy models. Two novel approaches, sampling-instant-to-present-time fragmentation and free-matrix-based time-dependent discontinuous Lyapunov approach, are proposed for the first time. Based on the two new approaches, the T–S fuzzy sampled-data controller is designed for stabilization of chaotic systems under large sampling period. The superiority of proposed results is shown by a numerical example.