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Further Results on H ∞ Filtering for a Class of Discrete-Time Singular Systems with Interval Time-Varying Delay

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Abstract

In this paper, the problem of delay-dependent robust H ∞ filtering for discrete-time singular systems with time-varying delay and polytopic uncertainties is investigated. Without introducing the free-weighting matrices to deal with the cross terms, a delay-dependent H ∞ performance analysis result is established for error singular system by considering the relationship between the time-varying delay and its bounds at first. Based on this result, a linear robust H ∞ filter is designed such that the filtering error singular system is regular, causal and asymptotically stable with a H ∞ norm bound. Numerical examples are given to show the advantages of the proposed results.

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Acknowledgements

The authors thank the editor (Prof. Peng Shi) and the anonymous referees for their helpful comments and suggestions which greatly improved this paper.

This work is supported by the National Natural Science Foundation of China, No. 61174047.

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Authors and Affiliations

  1. College of Automation, Harbin Engineering University, Harbin, 150001, P.R. China

    Zhonghui Hu & Jiemei Zhao

  2. School of Mathematical Science, Heilongjiang University, Harbin, 150080, P.R. China

    Huanyu Zhu

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  1. Zhonghui Hu
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  2. Huanyu Zhu
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  3. Jiemei Zhao
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Correspondence to Jiemei Zhao.

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Hu, Z., Zhu, H. & Zhao, J. Further Results on H ∞ Filtering for a Class of Discrete-Time Singular Systems with Interval Time-Varying Delay. Circuits Syst Signal Process 32, 1081–1095 (2013). https://doi.org/10.1007/s00034-012-9491-1

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  • DOI: https://doi.org/10.1007/s00034-012-9491-1

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