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H ∞ Filtering Design for 2-D Discrete-Time Linear Systems with Polytopic Uncertainty

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Abstract

This technical paper studies robust H ∞ filtering design for 2-dimensional (2-D) systems and the focus is on finding other methods to further reduce the conservativeness when the ‘polynomially dependent on the parameter’ technique 2000 fails to do so. First, the possible sources of conservativeness of the existing results are explored, and then two algorithms are proposed. Since no special structures are required in the introduced variables, the algorithms can further reduce the conservativeness. In addition, the initial conditions of the algorithms are discussed and an example is provided to demonstrate the effectiveness of the conclusions.

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Acknowledgements

The authors gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation. This work is supported in part by the National Natural Science Foundation of China (No.61104220, No. 61175041 and No. 61165014), Jiangxi Provincial Natural Science Foundation (2010GQS0173) and Scientific Research Foundation of Jiangxi Provincial Education Department(GJJ11170).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, 330063, People’s Republic of China

    Likui Wang

  2. Research Center of Information and Control, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Xiaodong Liu

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  1. Likui Wang
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  2. Xiaodong Liu
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Correspondence to Likui Wang.

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Wang, L., Liu, X. H ∞ Filtering Design for 2-D Discrete-Time Linear Systems with Polytopic Uncertainty. Circuits Syst Signal Process 32, 333–345 (2013). https://doi.org/10.1007/s00034-012-9436-8

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  • DOI: https://doi.org/10.1007/s00034-012-9436-8

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