Robust synchronization of drive-response chaotic systems via adaptive chatter free sliding mode control

For the chaotic systems of uncertain model, synchronization problem of the driver response system with unknown parameters and the interference were studied. Based on Lyapunov stability theory, by constructing Lyapunov function, using the sliding mode control method to design dynamic sliding mode surface and the adaptive sliding mode controller, simultaneously to estimation parameter aim to unknown parameters. Using the proposed controller to achieve synchronization for the driver system and response system in a short period of time. Utilizing numerical simulations of simulink and experiment results proved the correctness and effectiveness of the proposed method.