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

Hamdi Gassara, Imen Iben Ammar, Abdellatif Ben Makhlouf, Lassaad Mchiri and Mohamed Rhaima ()
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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

Mathematics, 2023, vol. 11, issue 21, 1-11

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.

Keywords: power system; fractional derivative; Lyapunov function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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