A ROBUST TRACKING CONTROL FOR A CLASS OF UNCERTAIN CHAOTIC SYSTEMS

This paper addresses the problem of designing robust tracking control for a large class of uncertain nonlinear chaotic systems. This class of chaotic systems can be perturbed simultaneously by plant uncertainties, unmodeled time-varying perturbations, time delays, and external disturbances. Through the backstepping design procedure and suitably choosing the Lyapunov-Krasovskii functionals, a hybrid adaptive robust tracking control scheme is developed such that all of the states and signals of the closed-loop system are bounded and the tracking error is uniformly ultimately bounded. Consequently, the control scheme developed here can be extended to handle robust tracking control for a broader class of perturbed nonlinear chaotic systems involving a significant degree of uncertainty. Finally, a simulation is made to demonstrate the effectiveness of the proposed control algorithms.