Rational Function Approximationof a Fundamental Fractional OrderTransfer Function

Type : Publication
Auteur(s) :  Djamel Boucherm, Abdelfatah Charef, Hassene NEZZARI
Année :  2017
Domaine : Electronique
Revue : Recent Advances in Electrical Engineering and Control Applications
Résumé en PDF :  (résumé en pdf)
Fulltext en PDF :  (.pdf)
Mots clés :  Fractional power zero  Linear fractional system  Irrational transfer function  Rational transfer function

Résumé : 

This paper introduces a rational function approximation of thefractional order transfer function ; for 0 to 0:5. Thisfractional order transfer function is one of the fundamental functions of thelinear fractional system of commensurate order corresponding to pure complexconjugate poles or eigenvalues, in sa. Hence, the proposed approximation willbe used in the solution of the linear fractional systems of commensurate order.Illustrative examples are given to show the exactitude and the efficiency of theapproximation method.