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Design of Polynomial Observer-Based Control of Fractional-Order Power Systems

Author

Listed:
  • Hamdi Gassara

    (Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering, National School of Engineering of Sfax, University of Sfax, P.O. Box 1173, Sfax 3038, Tunisia)

  • Imen Iben Ammar

    (GREAH Laboratory, University of Le Havre Normandy, 75 Rue Bellot, 76600 Le Havre, France)

  • Abdellatif Ben Makhlouf

    (Department of Mathematics, Faculty of Sciences, University of Sfax, P.O. Box 1171, Sfax 3038, Tunisia)

  • Lassaad Mchiri

    (ENSIIE, University of Evry-Val-d’Essonne, 1 Square de la Résistance, 91025 Évry-Courcouronnes cedex, France)

  • Mohamed Rhaima

    (Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia)

Abstract

This research addresses the problem of globally stabilizing a distinct category of fractional-order power systems (F-OP) by employing an observer-based methodology. To address the inherent nonlinearity in these systems, we leverage a Takagi–Sugeno (TS) fuzzy model. The practical stability of the proposed system is systematically established through the application of a sum-of-squares (SOS) approach. To demonstrate the robustness and effectiveness of our approach, we conduct simulations of the power system using SOSTOOLS v3.00. Our study contributes to advancing the understanding of F-OP and provides a practical framework for their global stabilization.

Suggested Citation

  • Hamdi Gassara & Imen Iben Ammar & Abdellatif Ben Makhlouf & Lassaad Mchiri & Mohamed Rhaima, 2023. "Design of Polynomial Observer-Based Control of Fractional-Order Power Systems," Mathematics, MDPI, vol. 11(21), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4450-:d:1268629
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