Robust H∞ filtering for a class of uncertain Lurie time-delay singular systems

This paper is concerned with the problem of the robust H_∞ filtering for a class of Lurie singular system with state time-delays, parameters uncertainties and unknown statistics characteristics but limited power disturbance. The purpose is to design a robustly stable filter such that the uncertain Lurie time-delay singular systems are not only regular, impulse free and stable, but also have a prescribed level of H_∞ 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). When a solution to this set of LMIs exists, the parametric matrices of a desired filter can be easily obtained using LMI toolbox. Finally, illustrative examples are given to demonstrate the superiority of the presented method.