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Robust \(H_{\infty }\) Filtering for 2-D Discrete Roesser Systems

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Abstract

This paper tackles the \(H_{\infty }\) filtering problem for 2-D discrete systems. The approach is based on the Roesser model. The objective is to propose a new design with sufficient condition via LMI formulations. Less conservative results are obtained by introducing additional free parameters by using the Finsler’s Lemma. This method provides extra degree of freedom in optimization of the \(H_{\infty }\) performance. The efficiency of the proposed approach is shown by several examples.

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohamed Ben Abdellah, B.P. 1796, Fes-Atlas, Fez, Morocco

    Bensalem Boukili & Abdelaziz Hmamed

  2. Department of Systems Engineering and Automatic Control, University of Valladolid, 47005, Valladolid, Spain

    Fernando Tadeo

Authors
  1. Bensalem Boukili
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  2. Abdelaziz Hmamed
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  3. Fernando Tadeo
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Correspondence to Bensalem Boukili.

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Boukili, B., Hmamed, A. & Tadeo, F. Robust \(H_{\infty }\) Filtering for 2-D Discrete Roesser Systems. J Control Autom Electr Syst 27, 497–505 (2016). https://doi.org/10.1007/s40313-016-0251-5

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  • DOI: https://doi.org/10.1007/s40313-016-0251-5

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