Fuzzy tracking adaptive control of discrete-time switched nonlinear systems

This paper is concerned with the problem of fuzzy tracking adaptive control for a class of discrete-time switched uncertain nonlinear systems with arbitrary switching. Based on the common Lyapunov function method and by utilizing the fuzzy logic systems to approximate the unknown nonlinear functions, an adaptive fuzzy controller is firstly constructed for a class of uncertain nonlinear discrete-time switched systems. Meanwhile, the proposed adaptive control algorithm reduces the amount of online adjustable parameters. Based on the above techniques, the constructed fuzzy controllers and the adaptive law can guarantee that all the signals are bounded and the system output can converge to a small neighborhood of the reference signal in the closed-loop system. An illustrative example is provided to demonstrate the effectiveness of the proposed approaches.