Robust energy-to-peak filtering for uncertain singular systems with time-varying delay

This paper is devoted to the problem of robust energy-to-peak filtering for a class of singular systems with time-varying delay and parameter uncertainties. A system model transformation is employed and a new Lyapunov-Krasovskii functional is introduced to derive a delay-dependent stability criterion in terms of linear matrix inequalities (LMIs). Based on this criterion, a full order linear filter is designed to ensure that the filtering error system is regular, impulse-free and stable with a prescribed L₂-L_infin performance gamma for all admissible parameter uncertainties. A numerical example is included to illustrate the effectiveness of the proposed method.