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Robust l 2–l ∞ Filter for Uncertain Discrete-Time Switched Time-Delay Systems

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Abstract

This paper is concerned with the problem of robust l 2–l ∞ filter design for a class of uncertain switched time-delay systems based on a switched Lyapunov functional. The parametric uncertainties are assumed to be time varying but norm bounded. The purpose is to design a switched filter such that, for all admissible uncertainties, the resulting filtering error system is robustly stable and satisfies a prescribed l 2–l ∞ performance level. By introducing some extra matrices, a desired filter can be constructed by solving certain linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, Jiangsu, P.R. China

    Dongsheng Du & Bin Jiang

  2. School of Science, Huaihai Institute of Technology, 59 Cangwu Road, Lianyungang, 222005, Jiangsu, P.R. China

    Dongsheng Du

  3. Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, CF37 1DL, UK

    Peng Shi

  4. School of Engineering and Science, Victoria University, Melbourne, 8001, Vic, Australia

    Peng Shi

Authors
  1. Dongsheng Du
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  2. Bin Jiang
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  3. Peng Shi
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Correspondence to Bin Jiang.

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Du, D., Jiang, B. & Shi, P. Robust l 2–l ∞ Filter for Uncertain Discrete-Time Switched Time-Delay Systems. Circuits Syst Signal Process 29, 925–940 (2010). https://doi.org/10.1007/s00034-010-9179-3

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  • DOI: https://doi.org/10.1007/s00034-010-9179-3

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