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Stabilization of T–S Fuzzy Systems with Constrained Controls

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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 extension of the positive invariance approach to nonlinear systems modeled by Takagi–Sugeno fuzzy systems. The saturations on the control signal are taken into account during the design phase. Sufficient conditions of asymptotic stability are given ensuring at the same time that the control is always admissible inside the corresponding polyhedral set. Both a common Lyapunov function and piecewise Lyapunov function are used.

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Author information

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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Corresponding author

Correspondence to Abdellah Benzaouia .

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Benzaouia, A., El Hajjaji, A. (2014). Stabilization of T–S Fuzzy Systems with Constrained Controls. 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_2

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  • DOI: https://doi.org/10.1007/978-3-319-05639-5_2

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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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