Delay‐Dependent H_∞ Filtering for Singular Time‐Delay Systems

Abstract

This paper deals with the problem of delay‐dependent H ∞ filtering for singular time‐delay systems. First, a new delay‐dependent condition which guarantees that the filter error system has a prescribed H ∞ performance γ is given in terms of linear matrix inequalities (LMIs). Then, the sufficient condition is obtained for the existence of the H ∞ filter, and the explicit expression for the desired H ∞ filter is presented by using LMIs and the cone complementarity linearization iterative algorithm. A numerical example is provided to illustrate the effectiveness of the proposed method.