Fuzzy Sliding Mode Controller for Uncertain Chen´s Chaotic System

A fuzzy robust sliding mode controller (FSMC) based on T-S model is presented to stabilize uncertain Chen´s chaotic system. The difficulty of constructing a robust sliding mode plane is alleviated by using a novel virtual state feedback. The overall asymptotical stability of the uncertain chaotic systems is guaranteed. High gain to suppress the parameter uncertainties and external disturbances is avoided by tradeoff of T-S fuzzy control. Meanwhile, The controller does not need any complicated state transformation as does the traditional sliding mode control strategy. Theoretical analysis and numerical simulations illustrate the effectiveness and feasibility of the proposed strategy.