Delay dependent robust filter design for singular systems with possible lossy measurements

This paper addresses the problem of robust filtering for networked singular systems with possible lossy measurements due to non-ideal transmission channels and the delay phenomenons with respect to the packet dropout. The Bernoulli random distribution is utilized to formulate the event of possible transmission lossy measurements, and the corresponding delay is considered in a known time interval. The object of this paper is to design a stable filter such that the corresponding delay singular filtering error dynamics is admissible for all considering uncertainties and satisfies a prescribed H_∞ performance. A set of delay-dependent sufficient conditions for the analysis and design problems under linear matrix inequality framework is then proposed. A numerical example is provided at last to show the efficiency of the proposed method.