Global Stabilization of Switched Feedforward Nonlinear Time-Delay Systems Under Asynchronous Switching

Abstract

This article deals with the problem of global stabilization for a class of switched feedforward nonlinear time-delay systems in which time delays appear in both states and input. Also, the switching signal of candidate controllers of subsystems exists time delays, which makes the switching between the subsystems and the controllers asynchronous. An effective constructive method is provided to design switched dynamic state-feedback controllers and switched dynamic output-feedback controllers, respectively. Design difficulties from time delays and asynchronous switching and nonlinearity are overcome using the Lyapunov-Razumikhin theorem and the multiple Lyapunov-Krasovskii functionals method. Some sufficient conditions for global exponential stability of switched feedforward nonlinear time-delay systems under asynchronous switching incorporated with a time-varying average dwell time are given. Simulation studies on two numerical examples, which include a practical switched induction heater circuit system, are carried out to demonstrate the effectiveness of the proposed approach.