Fuzzy state feedback stabilization for the time-delay nonlinear system

They fuzzy control is discussed which usually takes the error between the output and the set point of the system and its derivative as the inputs of the controller. The output feedback control of the classical control process the same sense. In this paper, the constitutive relation of the fuzzy control and state feedback control are analyzed from the mathematical point of view. Through the analogy of these two type of control systems, a type of linear state feedback controller based on a category of special fuzzy controller were presented. And it was applied in the stabilization and tracking control of the time-delay nonlinear systems. By constructing the appropriate Lyapunov-Krasovskii functions and using the backstepping design, the linear fuzzy state feedback controller can making the closed loop system globally asymptotically stable. Finally, an example is selected to illustrate the feasibility of the proposed scheme. The simulation results demonstrate the strong robust stability and stabilization of the proposed methods.