In this paper, a remote filter design problem for a discrete-time singular plant under a networked control system is investigated. For a remote system, it is natural that transmitted signals have some delayed phenomenon and some data losing due to heavy loaded networks or under unreliable communication envelopment. In this case, a Bernoulli random distributed sequence is introduced to model the possible data losing, as well as the working but delayed transmitted signals are limited in some time interval. Applying a finite sum inequality approach, a set of delay dependent sufficient conditions for the admissibility analysis and the filter design problems are derived under an LMI framework. In order to verify and show the efficiency of the proposed method for such problem formulation, a numerical example is presented at the end of this paper.
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