An LMI-based Fuzzy Control Method of Chaotic Systems

Abstract

This paper represents a systematic framework for the stability and design of nonlinear fuzzy control chaotic systems. Based on Takagi-Sugeno(T-S) fuzzy model and parallel distributed compensation (PDC) design technique considering current state and delayed state feedback control, we propose delay-dependent chaos control criterion and stability corollary expressed in terms of linear matrix inequalities(LMIs). The design method is conceptually natural and effective for chaotic systems.