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Stabilization of Delayed T–S Fuzzy Positive Systems

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Advanced Takagi‒Sugeno Fuzzy Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 8))

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Abstract

This chapter deals with the problem of delay-dependent stability and stabilization of Takagi–Sugeno (T-S) fuzzy systems with a time-varying delay while imposing positivity in closed-loop. The stabilization conditions are derived using single Lyapunov–Krasovskii Functional (LKF) combining the introduction of free-single matrices. A memory feedback control is also used, in case the delay matrix is not nonnegative. An example of a real plant is studied to show the advantages of the design procedures.

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Authors and Affiliations

  1. Department of Physics, University of Cadi Ayyad, Marrakech, Morocco

    Abdellah Benzaouia

  2. Laboratoire de Modélisation, Information et Systèmes, Université de Picardie Jules Verne, Amiens, France

    Ahmed El Hajjaji

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

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Benzaouia, A., El Hajjaji, A. (2014). Stabilization of Delayed T–S Fuzzy Positive Systems. In: Advanced Takagi‒Sugeno Fuzzy Systems. Studies in Systems, Decision and Control, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-05639-5_5

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  • DOI: https://doi.org/10.1007/978-3-319-05639-5_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05638-8

  • Online ISBN: 978-3-319-05639-5

  • eBook Packages: EngineeringEngineering (R0)

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