Robust reliable dissipative filtering for discrete delay singular systems

This paper is concerned with the problem of robust reliable dissipative filtering for uncertain discrete-time singular system with interval time-varying delay and sensor failures. The uncertainty and the sensor failures considered are polytopic uncertainty and varying in a given interval, respectively. The purpose is to design a filter such that the filtering error singular system is regular, causal, asymptotically stable and strictly (Q,S,R)-dissipative(Q,S,R)-dissipative. By utilizing reciprocally convex approach, firstly, sufficient reliable dissipativity analysis condition is established in terms of linear matrix inequalities (LMIs) for singular systems with time-varying delay and sensor failures. Based on this criterion, the result is extended to uncertain singular systems with time-varying delay and sensor failures. Moreover, the reliable dissipative filter is designed in terms of linear matrix inequalities (LMIs) for uncertain singular systems with time-varying delay and sensor failures. Finally, the effectiveness of the filter design method in this paper is illustrated by numerical examples.

► The result unifies the problems of H∞ and passive filtering of singular system.
► The reciprocally convex approach is used to reduce the conservativeness.
► The comparison results are given for the performance of filtering error system.