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Quantized H ∞ Filtering for Singular Time-varying Delay Systems with Unreliable Communication Channel

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Abstract

This brief is concerned with the issue of quantized H ∞ 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 ∞ filter such that the filtering error system is regular, causal, stochastically stable, and satisfies the prescribed H ∞ 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.

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Authors and Affiliations

  1. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou, 310018, P.R. China

    Renquan Lu, Hui Li & Yaping Zhu

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  1. Renquan Lu
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  2. Hui Li
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  3. Yaping Zhu
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Correspondence to Hui Li.

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Lu, R., Li, H. & Zhu, Y. Quantized H ∞ Filtering for Singular Time-varying Delay Systems with Unreliable Communication Channel. Circuits Syst Signal Process 31, 521–538 (2012). https://doi.org/10.1007/s00034-011-9333-6

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  • DOI: https://doi.org/10.1007/s00034-011-9333-6

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