Adaptive backstepping control for a class of uncertain chaotic systems in non-strict form

This paper proposes an adaptive backstepping control approach for the tracking of a class of uncertain chaotic systems in non-strict form. Many well-known chaotic systems are shown to be transformed into this feedback form. Adaptive backstepping scheme combining with ¿ modification method is designed to control chaos and estimate uncertain parameters simultaneously. All signals in the closed chaotic systems are guaranteed to be uniformly ultimately bounded and the system output can be controlled to track a desired orbit asymptotically. Numerical simulations are given to verify the feasibility and effectiveness of the proposed scheme.