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 the H-infinity tracking theory, 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-infinity 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.