Stabilization of a Class of Uncertain Chaotic Systems via Robust Adaptive Sliding-mode Control

This paper considers the stabilization of a class of uncertain chaotic systems. A robust adaptive sliding-mode controller is proposed to suppress the chaotic systems with uncertain systematic parameter vectors and unknown bound on external disturbances. The obtained systems have the desired sliding-mode dynamics, which prescribes the asymptotic stability and robustness against uncertainties. The adaption laws, designed for identification of unknown parameters, are convergent with the Lyapunov stability theory. Finally numerical simulation of Genesio-Tesi system and Lorenz system verifies the effectiveness of this proposed control scheme.