Design of Polynomial Observer-Based Control of Fractional-Order Power Systems
Hamdi Gassara,
Imen Iben Ammar,
Abdellatif Ben Makhlouf,
Lassaad Mchiri,
Mohamed Rhaima
Affiliations
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
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.