Further Results on H ∞ Filtering for a Class of Discrete-Time Singular Systems with Interval Time-Varying Delay

Abstract

In this paper, the problem of delay-dependent robust H∞ filtering for discrete-time singular systems with time-varying delay and polytopic uncertainties is investigated. Without introducing the free-weighting matrices to deal with the cross terms, a delay-dependent H∞ performance analysis result is established for error singular system by considering the relationship between the time-varying delay and its bounds at first. Based on this result, a linear robust H∞ filter is designed such that the filtering error singular system is regular, causal and asymptotically stable with a H∞ norm bound. Numerical examples are given to show the advantages of the proposed results.