Dynamic output feedback stabilization for a class of uncertain switched delay systems under asynchronous switching

Abstract

In this paper, the dynamic output feedback stabilization for a class of switched delay systems with the existence of structural uncertainties under asynchronous switching is investigated. The delays appear not only in the state, but also in the switching signal for the control. When the switching signal of the switched controller involves delay, by constructing a novel Lyapunov functional, sufficient conditions for exponential stability of the augmented system composed of the given switched system and dynamic output feedback stabilizer are proposed for a class of switching signals based on the average dwell time method. The stabilizing output feedback controllers are designed by solving a set of LMIs. Moreover, the value of the Lyapunov function is allowed to increase during the running time of active subsystems with the mismatched controller.