Synchronization of chaotic systems via fuzzy sliding mode controller

This paper investigates a robust fuzzy sliding mode control (FSMC) for the synchronization of chaotic systems. By using Lyapunov function the sliding surfaces are proposed for the chaotic system which is express by T-S fuzzy model. The design is based on the concept of parallel distributed compensation (PDC). The designed sliding mode controller such that the global system confined on the sliding surfaces is asymptotically stable. The proposed controller can guarantee asymptotical synchronization of both drive and response systems. Finally, the corresponding numerical simulation results demonstrate the effectiveness of the proposed schemes.