Adaptive Backstepping Control of Chaotic System with Uncertain Parameters

An error-compensation based Backstepping control scheme is proposed for a new uncertain chaotic system. An error compensation item is developed in the virtual control design of each Backstepping step to compensate the effect of unknown error dynamics on control such that more smooth process of chaos stabilization is obtained, and the speed of parameter identification is improved. Based on Lyapunov theorem, all signals in the controlled chaotic system are guaranteed to be uniformly bounded. Simulation studies for contrast are provided and the results show that the proposed method can obtain better transient response performance.