Author/Authors :
Bouarroudj, N LCP - departement d'automatique - Ecole Nationale Polytechnique - El-Harrach - Alger, Algeri , Boukhetala, D LCP - departement d'automatique - Ecole Nationale Polytechnique - El-Harrach - Alger, Algeri , Benlahbib, B Unite de Recherche Appliquee en Energies Renouvelables - URAER - Centre de Developpement des Energies Renouvelables - CDER - Ghardaia, Algeria , Batoun, B Unite de Recherche Appliquee en Energies Renouvelables - URAER - Centre de Developpement des Energies Renouvelables - CDER - Ghardaia, Algeria
Abstract :
Abstract.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 equivalent control term with an addition of discontinuous (attractive) control law. Sec-
ondly, the mathematical proof of the stability condition and convergence of the proposed
fractional order sliding surface is presented. Finally the eectiveness and robustness of the
proposed approaches compared with classical SMCs are demonstrated by simulation results
with dierent cases.
Keywords :
FOSMC , Fractional order calculus , DC-DC Boost converter , DC-DC Buck converter