Dynamic output feedback for T-S fuzzy model based on chaotic systems with uncertainties

Abstract

In this paper, a novel Takagi-Sugeno (T-S) fuzzy model-based method is proposed for controlling a class of chaotic systems with uncertain parameters. The T-S fuzzy model is employed for accurately modeling the chaotic systems. Based on the T-S fuzzy model, the parallel distributed compensation (PDC) technique is applied to design a dynamic output feedback controller for the chaotic systems. By using Lyapunov stability theory, the robust stability of the closed-loop system is proved. The condition in this paper is represented in the form of linear matrix inequalities (LMIs). The new method considers the interactions among all fuzzy subsystems. Finally, as an illustrative example, Chen system is considered to verify the effectiveness of the control scheme.