Stabilization of a Fractional-Order Nonlinear Brushless Direct Current Motor

Abstract

This paper describes the stabilization of a fractional-order nonlinear brushless DC motor (BLDCM) with the Caputo derivative. Based on the Laplace transform, a Mittag-Leffler function, Jordan decomposition, and Grönwall's inequality, sufficient conditions are proposed that ensure the local stabilization of a BLDCM as fractional-order α: 0<α≤1 is proposed. Then, numerical simulations are presented to show the feasibility and validity of the designed method. The proposed scheme is simpler and easier to implement than previous schemes.