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Stability and Stabilization Analysis for T–S Interconnected Fuzzy Systems Using LMIs

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Abstract

This paper deals with both the stability and stabilization problems of large-scale nonlinear systems described by interconnected T–S fuzzy models. Afterward, LMI-based stabilizability conditions for the decentralized parallel distributed compensation controller design are developed. To compare feasibility results for stability analysis, different Lyapunov functions with slack variables are considered. Simulation examples are presented to illustrate and to compare the effectiveness of the proposed stability and stabilization techniques.

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Authors and Affiliations

  1. Faculty of Science Semlalia, LAEPT URAC-28, University Cadi Ayyad, P.B. 2390, Marrakech, Morocco

    Abdellah Benzaouia & Laila El Younsi

  2. MIS-University of Picardie Jules-Vernes, 7, Rue du Moulin Neuf, 80000, Amiens, France

    Ahmed El Hajjaji

Authors
  1. Abdellah Benzaouia
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  2. Laila El Younsi
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  3. Ahmed El Hajjaji
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Correspondence to Abdellah Benzaouia.

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Benzaouia, A., El Younsi, L. & El Hajjaji, A. Stability and Stabilization Analysis for T–S Interconnected Fuzzy Systems Using LMIs. Circuits Syst Signal Process 38, 4504–4525 (2019). https://doi.org/10.1007/s00034-019-01082-5

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