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Robust \(H_{\infty }\) Filtering for Uncertain 2D Singular Roesser Models

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Abstract

This paper addresses the design of robust \(H_{\infty }\) filters for polytopic 2D discrete singular systems described by a Roesser model. By establishing a novel version of the bounded real lemma, a polynomially parameter-dependent approach is developed to solve this filter design problem, with a new linear matrix inequality condition obtained for the existence of those \(H_{\infty }\) filters. It is also shown that the proposed filter design method is general, in the sense that the results are also useful for standard (non-singular) systems. To show the applicability of the proposed filter design methodology, some examples are solved and compared with previous results.

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Authors and Affiliations

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

    Said Kririm & Abdelaziz Hmamed

  2. Dept. Ingenieria de Sistemas y Automatica, Universidad de Valladolid, 47005 , Valladolid, Spain

    Fernando Tadeo

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  1. Said Kririm
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  2. Abdelaziz Hmamed
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  3. Fernando Tadeo
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Correspondence to Fernando Tadeo.

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Kririm, S., Hmamed, A. & Tadeo, F. Robust \(H_{\infty }\) Filtering for Uncertain 2D Singular Roesser Models. Circuits Syst Signal Process 34, 2213–2235 (2015). https://doi.org/10.1007/s00034-015-9967-x

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