Robust State Estimation for Uncertain Switched Fuzzy Systems with Time-Varying Delays by Average Dwell Time Approach

Abstract

Switched systems are an important class of hybrid systems. In recent years, such systems have drawn considerable attentions in control field. A switched fuzzy system is a switching system, for which all subsystems are fuzzy systems. This paper investigates the robust state estimation problem for a class of uncertain switched fuzzy systems with time-varying delays. By using appropriate switched Lyapunov functional approach, average dwell time scheme and filtering theory, delay dependent sufficient conditions for the solvability of this problem are stablished in terms of linear matrix inequalities (LMIs). An illustrative example is provided to show the effectiveness of the proposed theoretical results.