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Conditions of Stabilization of Positive Continuous Takagi–Sugeno Fuzzy Systems with Delay

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Abstract

This paper deals with the problem of stability and stabilization of positive Takagi–Sugeno (T–S) fuzzy systems with fixed delays. The obtained conditions are given under the linear programming technique while imposing positivity constraint for the closed-loop system. New delay-independent stabilization conditions are derived by using a well-appropriated Lyapunov–Krasovskii functional. A real plant model is studied to show the applicability of the design procedure, while a numerical example is used to compare with LMI-based techniques.

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Authors and Affiliations

  1. LAEPT, Faculty of Science Semlalia, University Cadi Ayyad, BP 2390, Marrakech, Morocco

    Abdellah Benzaouia

  2. MIS Laboratory, University of Picardie Jules Verne, 33, Rue St Leu, 80000, Amiens, France

    Ahmed El Hajjaji

Authors
  1. Abdellah Benzaouia
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  2. Ahmed El Hajjaji
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Correspondence to Ahmed El Hajjaji.

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Benzaouia, A., El Hajjaji, A. Conditions of Stabilization of Positive Continuous Takagi–Sugeno Fuzzy Systems with Delay. Int. J. Fuzzy Syst. 20, 750–758 (2018). https://doi.org/10.1007/s40815-017-0444-5

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  • DOI: https://doi.org/10.1007/s40815-017-0444-5

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