Robust H_∞ Filter Design for Uncertain Systems with Time Varying Delays

Abstract

This paper is concerned with robust filters with H_∞ disturbance attenuation for a class of uncertain linear systems with time varying delays. We develop a sufficient condition that guarantees the H_∞ disturbance attenuation for an error dynamics of an uncertain time-delay system and its filter. Based on such a sufficient condition, we give a design method of robust filters with H_∞ disturbance attenuation for uncertain time-delay systems. Finally, numerical examples show the effectiveness of our methods.