SLIDING MODE CONTROL BASED ON FRACTIONAL ORDER CALCULUS FOR DC-DC CONVERTERS

الموضوعات : فصلنامه ریاضی

Noureddine Bouarroudj ¹ (Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables, CDER, 47133 Ghardaïa, Algeria Algeria)
D. Boukhetala ² ()
B. Benlahbib ³ ()
B. Batoun ⁴ ()

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 01 السبت , جمادى الثانية, 1436

الکلمات المفتاحية: DC-DC Buck converter, DC-DC Boost converter, fractional order calculus, FOSMC,

ملخص المقالة :

The aim of this paper is to design a Fractional Order Sliding Mode Controllers (FOSMC)for a class of DC-DC converters such as boost and buck converters. Firstly, the control lawis designed with respect to the properties of fractional calculus, the design yields an equiv-alent control term with an addition of discontinuous (attractive) control law. Secondly, themathematical proof of the stability condition and convergence of the proposed fractionalorder sliding surface is presented. Finally the effectiveness and robustness of the proposed ap-proaches compared with classical SMCs are demonstrated by simulation results with differentcases.