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Robust \(H_{\infty }\) Filtering for Two-Dimensional Delayed Systems

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Two-Dimensional Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 28))

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Abstract

This chapter deals with robust \(H_{\infty }\) filtering for continuous two-dimensional systems with delays, considering several situations: constant or time-varying delays and combined with polytopic or linear fractional uncertainties. Sufficient conditions to have an \(H_{\infty }\) noise attenuation are given in terms of linear matrix inequalities, so \(H_{\infty }\) filters can be obtained by solving a convex optimization problem. Examples are given to illustrate the effectiveness of the proposed results.

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Authors and Affiliations

  1. Department of Physics, University of Cadi Ayyad, Marrakech, Morocco

    Abdellah Benzaouia

  2. Ecole Supérieure de Technologie, University of Sidi Mohammed Ben Abdellah, Fès, Morocco

    Abdelaziz Hmamed

  3. Departamento de Ingeniería de Sistemas y Automática, University of Valladolid, Valladolid, Spain

    Fernando Tadeo

Authors
  1. Abdellah Benzaouia
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  2. Abdelaziz Hmamed
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  3. Fernando Tadeo
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Correspondence to Abdellah Benzaouia .

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Benzaouia, A., Hmamed, A., Tadeo, F. (2016). Robust \(H_{\infty }\) Filtering for Two-Dimensional Delayed Systems. In: Two-Dimensional Systems. Studies in Systems, Decision and Control, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-319-20116-0_9

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  • DOI: https://doi.org/10.1007/978-3-319-20116-0_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20115-3

  • Online ISBN: 978-3-319-20116-0

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