sliding mode control based on fractional order calculus for dc-dc converters

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.