Observer-Based Robust H∞ Control for Switched Stochastic Systems with Time-Varying Delay

Abstract

This paper investigates the problem of observer-based robust $H_{\infty }$ control for a class of switched stochastic systems with time-varying delay. Based on the average dwell time method, an exponential stability criterion for switched stochastic delay systems is proposed. Then, $H_{\infty }$ performance analysis and observer-based robust $H_{\infty }$ controller design for the underlying systems are developed. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach.