Optimal adaptive fuzzy control for a class of nonlinear systems

By using fuzzy logic system an adaptive fuzzy control scheme is developed for a class of nonlinear tracking systems. In order to guarantee the system stability, obtain the minimal tracking error and satisfy the requirement of the quadratic performance index, an optimal compensation controller is constructed by using tracking error. It is proved that the proposed control scheme can not only guarantee the asymptotic stability of the closed-loop, but also satisfy the requirement of tracking quadratic performance index. To show the effectiveness of the proposed method, the simulation results of a nonlinear control problem are shown.