Adaptive Backstepping Control of Uncertain Chaotic Systems

In this paper, an adaptive backstepping control scheme is proposed for stabilizing and controlling a class of uncertain chaotic systems. We firstly show that many chaotic systems as paradigms in the research of chaos can be transformed into a class of nonlinear systems in the feedback form. Unlike some existing control schemes for chaotic systems, no priori knowledge on the system parameters is required. It is shown that not only global stability is guaranteed by the proposed controller, but also both transient and asymptotic performances are quantified as explicit functions of the design parameters so that designers can tune the design parameters in an explicit way to obtain the required closed loop behavior.