Chaotic synchronization control based on finite-time sliding model controller

For the problem of the synchronization between two chaotic systems with external disturbances and nonlinear input, based on the Lyapunov's stability theory and combined the finite time principle with control technology existed, a sliding mode controller was designed by a new type of sliding surface and the corresponding control rule of sliding mode selectivity to achieve the synchronization control of two chaotic systems and make the system reach and maintain the balance state in a limited time. Finally, take Lorenz system and Liu system for example, some MATLAB simulation results verify the feasibility and effectiveness of the sliding mode controller design.