H∞ Filtering Controller for Discrete Time-Varying Delay System with Missing Measurements

Abstract

The aim of this paper is to address the analysis and design problem of [Formula: see text] filtering for discrete time-varying delay systems with missing measurements. Our attention is focused on the filter design, using Scaled Small Gain (SSG) approach, guaranteeing the asymptotic stability of the augmented system. A transformation model is obtained via three-term approximation method and Input–Output (IO) approach based on the SSG theorem. The use of SSG theorem for the stability of discrete time-varying delayed systems with missing measurements has not been studied elsewhere in the literature. This represents the main innovation of this paper. Less conservative results are obtained, compared with previous results, and are established in terms of LMIs. Numerical examples illustrate the applicability of the proposed methodology.