Reduced-order delay-dependent filtering for uncertain discrete-time singular systems with time-varying delay

In this paper, a reduced-order delay-dependent robust H ∞ filter design method for uncertain discrete-time singular systems with interval time-varying delay is presented by the LMI approach. On the basis of the bounded real lemma obtained, we propose the sufficient condition for the existence of reduced-order H ∞ filters such that the delayed filtering error singular system is regular, causal, and stable with H ∞ norm bound. Also, a new reduced-order H ∞ filter design method for discrete singular systems with lossy measurements is presented using the proposed method to show the applicability of the main result. Finally, two numerical examples are provided to illustrate the applications of the reduced-order filter design technique.