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A novel approach of admissibility for singular linear continuous-time fractional-order systems

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Abstract

This paper deals with the admissibility problem of linear descriptor fractional-order systems having fractional orders between 0 and 1. Necessary and sufficient admissibility conditions are obtained in terms of strict linear matrix inequalities. Then an observer-based controller is designed for the closed-loop system to be admissible. Numerical examples are presented to show the applicability of the proposed results.

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Author information

Authors and Affiliations

  1. University of Mohamed Boudiaf, Oran, Algeria

    Saliha Marir

  2. University of Picardie Jules Verne, Amiens, France

    Mohammed Chadli

  3. University Abdelhamid Ibnbadiss, Mostaganem, Algeria

    Djillali Bouagada

Authors
  1. Saliha Marir
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  2. Mohammed Chadli
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  3. Djillali Bouagada
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Corresponding author

Correspondence to Mohammed Chadli.

Additional information

Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Myo Taeg Lim.

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Marir, S., Chadli, M. & Bouagada, D. A novel approach of admissibility for singular linear continuous-time fractional-order systems. Int. J. Control Autom. Syst. 15, 959–964 (2017). https://doi.org/10.1007/s12555-016-0003-0

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  • DOI: https://doi.org/10.1007/s12555-016-0003-0

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