Robust Filtering for a Class of Uncertain Linear Singular Systems

This paper is concerned with the problem of the robust H_infin filtering for a class of linear singular system parameters uncertainties. The purpose is to design a robustly stable filter such that the uncertain linear time-delay singular systems are not only regular, impulse free and stable, but also have a prescribed level of H_infin performance for the filtering error dynamics for all admissible uncertainties. A sufficient condition for the existence of such a filter is proposed in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are given to demonstrate the superiority of the presented method