Fuzzy sliding mode control for uncertain system based on dynamic compensator

Based on fuzzy sliding mode control, the asymptotical stability problem for non-matching uncertain systems is studied in this paper. By applying dynamic compensator and inequality technique, the stability condition of sliding mode with less conservation is obtained. Because of the application of fuzzy number model and double quadratic function interpolation algorithm much more computational effort can be reduced. The fuzzy sliding mode control law presented in this paper restrains the system quiver as well as enhances system's transient performance and robustness. An illustrative simulation example is offered to verify the effectiveness of the proposed method.