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Robust H∞ Filtering of Delayed Singular Systems with Linear Fractional Parametric Uncertainties

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Abstract

This paper deals with the robust H∞ filtering problem for a class of uncertain singular systems with time delays. The uncertainty under consideration is of a linear fractional form. A sufficient condition for the existence of a full-order H∞ filter is given in terms of matrix inequalities. When a scalar variable in the matrix inequalities is fixed, the condition can be expressed in terms of linear matrix inequalities (LMIs). The desired H∞ filter can be obtained by solving these LMIs. Two numerical examples are given to demonstrate the application of the proposed method.

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Authors and Affiliations

  1. Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, P.R. China

    Baoyong Zhang

  2. Department of Automation, Hangzhou Dianzi University, Hangzhou 310037, Zhejiang, P.R. China

    Shaosheng Zhou

  3. Department of Mathematics and Physics, Huaihai Institute of Technology, Lianyungang 222005, Jiangsu, P.R. China

    Dongsheng Du

Authors
  1. Baoyong Zhang
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  2. Shaosheng Zhou
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  3. Dongsheng Du
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Correspondence to Baoyong Zhang, Shaosheng Zhou or Dongsheng Du.

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Zhang, B., Zhou, S. & Du, D. Robust H∞ Filtering of Delayed Singular Systems with Linear Fractional Parametric Uncertainties. Circuits Syst Signal Process 25, 627–647 (2006). https://doi.org/10.1007/s00034-005-0518-8

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  • DOI: https://doi.org/10.1007/s00034-005-0518-8

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