Adaptive fuzzy control of a class of nonlinear time-delay systems with input nonlinearity

In this paper a class of adaptive controller for a large class of nonlinear systems has been proposed in presence of uncertainties, input nonlinearities and unknown timedelay. Based on the combination of the sliding mode control (SMC) with fuzzy control, this paper presents a design algorithm to synthesize a robust fuzzy sliding mode controller. The unknown nonlinear functions have been approximated with fuzzy logic systems. Stability and robustness of this controller are analyzed in Lyapunov sense. Lyapunov—Krasovskii approach is employed to show that the corresponding closed-loop system is asymptotically stable. Finally, numerical example is given to show the effectiveness of the proposed technique.