Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables, CDER, 47133 Ghardaïa, Algeria Algeria
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 law is 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, the mathematical proof of the stability condition and convergence of the proposed fractional order sliding surface is presented. Finally the effectiveness and robustness of the proposed ap-proaches compared with classical SMCs are demonstrated by simulation results with different cases.