Robust H - Infinity Filtering for A Class of Uncertain Nonlinear Singular Delay Systems

This paper is concerned with the problem of the robust H_infin filtering for a class of nonlinear 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 nonlinear 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). 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