A robust tracking control for chaotic Chua´s circuits via fuzzy approach

This paper addresses the problem of designing robust tracking controls for nonlinear chaotic Chua´s circuits involving plant uncertainties and external disturbances. A hybrid adaptive-robust tracking control scheme which is based upon a combination of H^∞ tracking theory, a variable structure system (VSS) control algorithm, and adaptive fuzzy control is developed such that all the states and signals of the closed-loop system are bounded and an H ^∞ tracking control from the tracking error to the external disturbance is guaranteed. In contrast to the previous investigations of controlling Chua´s circuits, the controller developed here can be extended to handle a broader class of uncertain nonlinear chaotic Chua´s circuits