Adaptive tracking control for a class of uncertain switched nonlinear systems with time-delay

This paper focuses on the problem of adaptive tracking control for switched nonlinear systems with time-delay and unknown functions under arbitrary switchings. Based on the adaptive backstepping technique and common Lyapunov function an approach to a class of adaptive fuzzy controllers is designed. The fuzzy logic system is used to approximate the unknown nonlinear functions. The proposed controller guarantees that the output can converge to a small neighbourhood of the reference signal and ensure all of the signals are bounded. A numerical example is provided to demonstrate the effectiveness of the paper.