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Quantized \(H _{\infty }\) filtering for singular time-varying delay systems with unreliable communication channel. (English) Zbl 1253.94008

Summary: This paper is concerned with the issue of quantized \(H _{\infty }\) filtering for singular time-varying delay systems with an unreliable communication channel. The missing data are described by a binary switching sequence satisfying a conditional probability distribution. The purpose is to design a linear \(H _{\infty }\) filter such that the filtering error system is regular, causal, stochastically stable, and satisfies the prescribed \(H _{\infty }\) performance constraint. First, based on a finite sum inequality, a new delay-dependent stability condition is obtained. Then, the filter parameters are derived by solving a linear matrix inequality (LMI). Finally, numerical examples are given to illustrate that the proposed approach is effective and feasible.

MSC:

94A05 Communication theory
93E11 Filtering in stochastic control theory
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