A Robust Tracking Control for a Class of Uncertain Chaotic Systems

Abstract

AbstractThis 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.