Control of chaotic systems using fuzzy model-based regulators

Abstract

This paper presents a new approach to controlling chaotic systems using fuzzy regulators. The relaxed stability conditions and LMI (Linear Matrix Inequalities) based designs for a fuzzy regulator are used to construct a fuzzy attractive domain, in which a global solution is obtained so as to achieve the desired stability condition of the closed-loop system. In the control of chaotic systems, we use two-phases of control, first phase uses an open-loop control with inherent chaotic features of the system itself and a fuzzy model-based controller is employed under state feedback control in the second phase of control. The Henon map is employed to illustrate the above design procedure.