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Robust Control for Continuous LPV System with Restricted-Model-Based Control

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Abstract

This paper deals with the robust stabilization of a class of linear parameter varying systems in the continuous control case. Instead of using a state observer or searching for a dynamic output feedback, the considered controller is based on output derivative estimation. This allows the stabilization of the plant with very large parameter variation or uncertainties. The robustness of such controller, for any all-poles single-input/single-output system, is provided for second- and third-order plants. The proof of stability is based on the polytopic representation of the closed loop under Lyapunov conditions and system transformations. The result is a control structure with only one parameter tuned via very simple conditions.

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Authors and Affiliations

  1. CRIStAL UMR CNRS 9189, University of Science and Technology, Cité Scientifique, BP 48, 59651, Lille, France

    Sonia Maalej & Lotfi Belkoura

  2. Non-A, INRIA Lille-Nord Europe, Villeneuve-d’Ascq, France

    Sonia Maalej & Lotfi Belkoura

  3. CRIStAL UMR CNRS 9189, Ecole Centrale de Lille, Cité Scientifique, BP 48, 59651, Lille, France

    Alexandre Kruszewski

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  1. Sonia Maalej
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  3. Lotfi Belkoura
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Correspondence to Sonia Maalej.

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Maalej, S., Kruszewski, A. & Belkoura, L. Robust Control for Continuous LPV System with Restricted-Model-Based Control. Circuits Syst Signal Process 36, 2499–2520 (2017). https://doi.org/10.1007/s00034-016-0404-6

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  • DOI: https://doi.org/10.1007/s00034-016-0404-6

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