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Article Dans Une Revue Mathematics Année : 2023

SOS Approach for Practical Stabilization of Tempered Fractional-Order Power System

Abdellatif Ben Makhlouf
Lassaad Mchiri
  • Fonction : Auteur
Mohamed Rhaima

Résumé

Fractional systems have been widely utilized in various fields, such as mathematics, physics and finance, providing a versatile framework for precise measurements and calculations involving partial quantities. This paper aims to develop a novel polynomial controller for a power system (PS) with fractional-order (FO) dynamics. It begins by studying the practical stability of a general class of tempered fractional-order (TFO) nonlinear systems, with broad applicability and potential for expanding its applications. Afterward, a polynomial controller is designed to guarantee the practical stability of the PS, encompassing the standard constant controller as a specific instance. The design conditions for this controller are resolved using the sum of squares (SOS) approach, a powerful technique for guaranteeing stability and control design. To showcase the practical value of the analytical findings, simulations of the PS are conducted utilizing SOSTOOLS.

Dates et versions

hal-04179899 , version 1 (10-08-2023)

Identifiants

Citer

Hamdi Gassara, Dhouha Kharrat, Abdellatif Ben Makhlouf, Lassaad Mchiri, Mohamed Rhaima. SOS Approach for Practical Stabilization of Tempered Fractional-Order Power System. Mathematics , 2023, 11 (13), pp.3024. ⟨10.3390/math11133024⟩. ⟨hal-04179899⟩

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