Fractional-Order Model of DC Motor

Abstract

Abstract. 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 Grünwald-Letnikov derivative. Possible usage of fractional calculus is shown for modeling a friction in electric machines.

A graphical tuning method for fractional order controllers based on iso-slope phase curves

“…Then, it has been found useful in many fields, from Economics [1] to Physics [2], and therefore, Engineering. Modeling [3], [4], [5] and system control [6], specially robust control, as in [7] and [8], are the main applications of fractional calculus in Engineering.…”

Discrete and continuous fractional controllers

“…Use of (5) for numerical solution of a system of fractional differential equations is shown for example in [19]. The paper deals with a construction and simulation of fractional-order model of a DC motor.…”

Synchronization in a Class of Fractional-order Chaotic Systems via Feedback Controllers: A Comparative Study

“…There are many engineering applications based on dynamical systems with fractional operators, for instance: fractional modelling of the human arm dynamics [32], modelling and identification of viscoelastic mechanical systems [33], modelling of electrical systems [34], analysis and control of economics and financial systems [35,36], vibration and acoustics phenomena [37], modeling of friction in electric machines [38], problems in electrochemistry, biophysics and bioengineering [39]- [41], methods for signal and image processing [42,43], applications in automatic control, mechatronics and robotics [44]- [46], among others [47]- [51]. However, there are a few practical applications in this field to prove the feasibility of the physical realization of the proposed techniques [52]- [54].…”