Robust H∞ control for switched stochastic nonlinear systems under sampled‐data

Abstract

AbstractIn this article, we consider an output feedback control problem of switched stochastic nonlinear systems under sampled‐data, where the switching converts to asynchronous switching if the switching occurs within the sampling interval. We first construct the output feedback sampled‐data controller by the back‐stepping method. And the limiting conditions of the sampling period are obtained based on the average dwell time method. We show that the closed‐loop system is globally mean‐square asymptotically stable and has a weighted ‐gain. Moreover, our theoretical results are applied to two numerical examples to demonstrate the validity of the proposed method.