Adaptive fuzzy sliding-mode controller for nonlinear system with a general set of uncertainty

A new adaptive fuzzy sliding mode control scheme is proposed, which combines the fuzzy logic with sliding-mode control together using fuzzy logic system to approximate the difference of the equivalent control between the nominal and the real system. Lyapunov stability theorem is used to prove the stability of the system and the adaptive laws are deduced which possess the characteristics of sliding-mode control. In addition, for better control performance, the upper bound of the uncertainty is estimated. Finally, the correctness and effectiveness of the method have been verified by simulation using nonlinear overload model of pitch channel of some BTT missile.