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H∞ Filter Design for Uncertain Discrete-Time Singular Systems via Normal Transformation

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Abstract

This paper concerns the robust H∞ filtering problem for discrete-time singular systems with norm-bounded uncertainties. Based on the admissibility assumption of singular systems, a set of necessary and sufficient conditions for the existence of the desired filters is established, and a normal filter design method under the linear matrix inequality framework is developed. A numerical example is given to illustrate the application of the proposed method.

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Author notes

  1. I-Kong Fong

    Present address: Room 211, Electrical Engineering Building II, 1 Roosevelt Rd., Sec. 4, Taipei, 10617, Taiwan

Authors and Affiliations

  1. Department of Electrical Engineering, National Taiwan University, Taipei, 10617, Taiwan

    Ching-Min Lee & I-Kong Fong

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  1. Ching-Min Lee
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  2. I-Kong Fong
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Correspondence to Ching-Min Lee or I-Kong Fong.

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Lee, CM., Fong, IK. H∞ Filter Design for Uncertain Discrete-Time Singular Systems via Normal Transformation. Circuits Syst Signal Process 25, 525–538 (2006). https://doi.org/10.1007/s00034-005-0815-2

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  • DOI: https://doi.org/10.1007/s00034-005-0815-2

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