Inverse tracking control of chaotic systems

An inverse tracking control method of chaotic systems is proposed. Firstly, the invertibilities of two types of the continuous chaotic systems, Duffing system and Lorenz system, are proved respectively by using the nonlinear inverse system theory. Then, the inverse system of the originally chaotic system is constructed by means of the nonlinear state feedback. And the composite pseudo linear system is obtained by connecting the inverse system and original system in series. On that basis, a linear synthesis method is employed to design the closed-loop controller, which allows that the chaotic system asymptotically tracks the input reference. The proposed chaos control method is characterized by clearly physical significance, simple control structure and easy to implement. Simulation results validate the effectiveness of the proposed method.