Delay-Dependent H∞ Filtering for Singular Time-Delay Systems

This paper deals with the problem of delay-dependent H-infinity filtering for singular time-delay systems. First, a new delay-dependent condition which guarantees that the filter error system has a prescribed H-infinity performance gamma is given in terms of linear matrix inequalities (LMIs). Then, the sufficient condition is obtained for the existence of the H-infinity filter, and the explicit expression for the desired H-infinity 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.