Fractional-Order Model of DC Motor

This article deals with application of fractional calculus in a model of a DC motor. The basic assumption of fractional calculus is that the classical derivative can be generalized to non-integer one. The basic definitions of fractional calculus are presented. The fractional model of DC motor is simulated by a numerical scheme based on a Grunwald-Letnikov derivative. Possible usage of fractional calculus is shown for modeling a friction in electric machines.