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

Abstract EN

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.