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Delay-Dependent Stabilizability of 2D Delayed Continuous Systems with Saturating Control

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Abstract

This paper deals with the problem of stability and stabilization of 2D delayed continuous systems with saturation on the control. An improved delay-dependent stability condition taken from the recent literature is first extended to the case of 2D systems. Second, a delay-dependent stabilizability condition is deduced. The synthesis of stabilizing saturating state feedback controllers for such systems is then given. A set of allowed delays for both directions of the state is computed. All involved conditions are given under LMI formalism. Examples are worked to show the effectiveness of the approach.

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Authors and Affiliations

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

    Mohamed Benhayoun, Fouad Mesquine & Abdellah Benzaouia

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  1. Mohamed Benhayoun
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  2. Fouad Mesquine
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  3. Abdellah Benzaouia
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Correspondence to Abdellah Benzaouia.

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Benhayoun, M., Mesquine, F. & Benzaouia, A. Delay-Dependent Stabilizability of 2D Delayed Continuous Systems with Saturating Control. Circuits Syst Signal Process 32, 2723–2743 (2013). https://doi.org/10.1007/s00034-013-9585-4

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  • DOI: https://doi.org/10.1007/s00034-013-9585-4

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