Asynchronous output regulation with passivity control for a class of switched stochastic delay systems

Abstract

In this study, the problem of output regulation with passive performance control is investigated for a class of switched stochastic delay systems by using an average dwell time approach. It is assumed that the system under consideration is subject to the existence of time delays in both states and the regulators switching signal which causes asynchronous switching between candidate regulators and subsystems. By construction of a Lyapunov–Krasovskii (L–K) functional, sufficient conditions for the existence of the corresponding regulators are derived from the cases where the states are measurable and unmeasurable, respectively. Then, a switching signal is designed based on the upper bounds of the time delays. Finally, simulation examples are provided to illustrate the feasibility and efficiency of the proposed method.