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Journal of Vibration Testing and System Dynamics 10(3) (2026) 259--270 | DOI:10.5890/JVTSD.2026.09.004

Fadia Zouad$^{1}$, Manal Messadi$^{2}$, Karim Kemih$^{2}$, Hamid Hamiche$^{3}$

$^{1}$ Electronics Research Laboratory, University of 20 August 1955, Skikda, Algeria

$^{2}$ L2EI laboratory, Jijel University, BP 98 Ouled Aissa Jijel 18000 Algeria

$^{3}$ L2CSP laboratory, Mouloud Mammeri University, Route de Hasnaoua, 17 RP, Tizi-Ouzou, Algeria

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Abstract

This study focuses on controlling a Fractional-Order Direct-drive Permanent Magnet Synchronous Generator (FOD-PMSG) in a wind turbine using an H${\infty}$ controller, which includes a mathematical definition of constraints related to the desired closed-loop behavior. The main advantage of this method lies in its ability to integrate classical control techniques with robust control in a cohesive framework. By utilizing fractional calculus and solving Linear Matrix Inequalities (LMIs), the system is effectively controlled and stabilized at the equilibrium point. Numerical results illustrate the effectiveness of the approach, and an electronic implementation is proposed to further validate these findings.

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