Analog Circuit Implementation of FractionalOrder Damped Sine and Cosine Functions

Type : Publication
Auteur(s) :  H. Nezzari, A. Charef, and D. Boucherma
Année :  2013
Domaine : Electronique
Revue : IEEE JOURNAL ON EMERGING AND SELECTED TOPICS IN CIRCUITS AND SYSTEMS
Résumé en PDF :  (résumé en pdf)
Fulltext en PDF :  (.pdf)
Mots clés :  Analog circuit, fractionalorder differential equation, fractional order system, irrational function, rational function.

Résumé : 

This paper introduces for thefirst time analog circuitimplementations of two fundamental linear fractional order systems whose impulse responses called fractional order damped sineand cosine functions are the inverse Laplace transform of their irrational transfer functions. These analog circuit implementationsare derived through rational function approximations of their irrational transfer functions.