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Robust l 2–l ∞ Filtering for Switched Time-Delay Systems with Missing Measurements

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Abstract

This paper investigates the problem of robust l 2–l ∞ filtering for switched discrete-time-delay systems with missing measurements. The missing measurements were modeled as a binary switch sequence specified by a conditional probability distribution. The purpose is the design of a filter such that for all admissible uncertainties, the filtering error system is exponentially mean-square stable with a prescribed l 2–l ∞ performance. By using the average dwell-time approach, a sufficient condition for the existence of such filters is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is given. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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Acknowledgements

The authors appreciate the editor’s work and the reviewer’s helpful comments and suggestions. This work was supported by the National Natural Science Foundation of China under Grant No. 60974027 and NUST Research Funding (2011YBXM26). The work of M.S. Mahmoud was supported by the deanship of scientific research (DSR) at KFUPM through project IN100018.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Zhengrong Xiang & Changyu Liang

  2. Systems Engineering Department, King Fahd University of Petroleum and Minerals, P.O. Box 5067, Dhahran, 31261, Saudi Arabia

    Magdi S. Mahmoud

Authors
  1. Zhengrong Xiang
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  2. Changyu Liang
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  3. Magdi S. Mahmoud
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Correspondence to Zhengrong Xiang.

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Xiang, Z., Liang, C. & Mahmoud, M.S. Robust l 2–l ∞ Filtering for Switched Time-Delay Systems with Missing Measurements. Circuits Syst Signal Process 31, 1677–1697 (2012). https://doi.org/10.1007/s00034-012-9396-z

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  • DOI: https://doi.org/10.1007/s00034-012-9396-z

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