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Stabilization of TS Fuzzy Systems via a Practical Observer

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State Estimation and Stabilization of Nonlinear Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 491))

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Abstract

This paper focuses of the analysis and study of the advanced approach for the asymptotic behaviors of perturbed fuzzy systems via an observer design. We introduce the notion of global practical exponential stability for Takagi-Sugeno fuzzy systems and by using common quadratic Lyapunov function and parallel distributed compensation controller techniques we study the asymptotic stability of the solutions of such systems by optimizing the number of rules. The proposed approach for stability analysis is based on the determination of the bounds of perturbations that characterize the asymptotic convergence of the solutions to a closed ball centered at the origin.

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Author information

Authors and Affiliations

  1. University of Sfax, IPEIS, Sfax, Tunisia

    N. Hadj Taieb

  2. University of Sfax, Faculty of Sciences of Sfax, Sfax, Tunisia

    M. A. Hammami

  3. University of Artois, Bethune, France

    F. Delmotte

Authors
  1. N. Hadj Taieb
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  2. M. A. Hammami
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  3. F. Delmotte
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Corresponding author

Correspondence to N. Hadj Taieb .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Sfax, Sfax, Tunisia

    Abdellatif Ben Makhlouf

  2. Department of Mathematics, University of Sfax, Sfax, Tunisia

    Mohamed Ali Hammami

  3. Control and Energy Management Laboratory, University of Sfax, National School of Engineering of Sfax, sfax, Tunisia

    Omar Naifar

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Hadj Taieb, N., Hammami, M.A., Delmotte, F. (2023). Stabilization of TS Fuzzy Systems via a Practical Observer. In: Ben Makhlouf, A., Hammami, M.A., Naifar, O. (eds) State Estimation and Stabilization of Nonlinear Systems. Studies in Systems, Decision and Control, vol 491. Springer, Cham. https://doi.org/10.1007/978-3-031-37970-3_4

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