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Fault Detection for Switching Discrete-Time Systems with External Disturbance

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Abstract

This study addresses the robust fault detection problem for discrete-time switching systems under an arbitrary switching signal. Sufficient conditions building an observer are obtained by using multiple Lyapunov function and \({H}_{\infty }\) methods. A sufficient condition for the solvability of this problem is established in terms of linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. Faculty of Science Semlalia, LAEPT URAC-28, University Cadi Ayyad, P.B. 2390, Marrakech, Morocco

    Abdellah Benzaouia & Youssef Eddoukali

  2. LSIS-UMR 6168, University of Paul Cézanne, Aix-Marseille, France

    Mustapha Ouladsine

Authors
  1. Abdellah Benzaouia
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  2. Youssef Eddoukali
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  3. Mustapha Ouladsine
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Correspondence to Abdellah Benzaouia.

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Benzaouia, A., Eddoukali, Y. & Ouladsine, M. Fault Detection for Switching Discrete-Time Systems with External Disturbance. Circuits Syst Signal Process 34, 2127–2140 (2015). https://doi.org/10.1007/s00034-014-9961-8

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  • DOI: https://doi.org/10.1007/s00034-014-9961-8

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