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Advanced Takagi‒Sugeno Fuzzy Systems pp 151–167Cite as

Robust Control of T–S Fuzzy Systems with Time-Varying Delay

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

Abstract

This chapter aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm-bounded uncertainties via Takagi–Sugeno (T-S) fuzzy model. The stabilization conditions are given in the form of Linear Matrix Inequalities using a single Lyapunov–Krasovskii Functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter. In comparison with the existing techniques in the literature, the proposed approach gives two great advantages. The first, is the reduction of computational complexity when the number of IF-THEN rules, r, is big. The second, concerns the conservatism reduction. Several examples are given to show the effectiveness and the merits of the design procedure.

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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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Correspondence to Abdellah Benzaouia .

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Benzaouia, A., El Hajjaji, A. (2014). Robust Control of T–S Fuzzy Systems with Time-Varying Delay. 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_6

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  • DOI: https://doi.org/10.1007/978-3-319-05639-5_6

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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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