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Observer-Based H∞ Control For Time-Delay-Conformable Fractional-Order Takagi–Sugeno Fuzzy Systems

Author

Listed:
  • MOHAMED RHAIMA

    (Department of Statistics and Operations Research, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia)

  • HAMDI GASSARA

    (Laboratory of Sciences and Techniques of Automatic, Control and Computer Engineering, National School of Engineering of Sfax, University of Sfax, PB 1173, 3038 Sfax, Tunisia)

  • LASSAAD MCHIRI

    (Department of Mathematics, Panthéon-Assas Université Paris II, 92 Rue d’Assas, 75006 Paris, France)

Abstract

This work focuses on implementing H∞ Observer-Based Control (OBC) for a class of Nonlinear Conformable fractional-order Delayed Systems (NCDSs) represented by the Takagi–Sugeno fuzzy model (TSFM). The aim is to develop conditions, utilizing the Lyapunov approach, that guarantee the existence of both a controller and an observer. These conditions are formulated as linear matrix inequalities (LMIs). Additionally, an H∞ optimization technique is employed to mitigate the effects of disturbances on the controlled output. An example is provided to demonstrate the validity of the proposed scheme.

Suggested Citation

  • Mohamed Rhaima & Hamdi Gassara & Lassaad Mchiri, 2025. "Observer-Based H∞ Control For Time-Delay-Conformable Fractional-Order Takagi–Sugeno Fuzzy Systems," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-12.
  • Handle: RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401620
    DOI: 10.1142/S0218348X25401620
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