Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching

This paper addresses the robust stabilization issue of switched systems with the essence of model uncertainties, time-varying delay, and nonlinear terms under asynchronous switching. The Lyapunov-Krasovskii functional approach and an average dwell time technique are utilized to establish sufficient conditions to compute the gains of a stabilizing switched controller. Obtained conditions are converted to linear matrix inequalities (LM/s) which rely on the upper bounds of the switching time lag between the system modes activation and the corresponding controller modes, the time-varying state delay, and the parameter uncertainties. A numerical example is allocated to validate the efficacy of the proposed strategy.