Creator:

Djouambi, Abdelbaki ; Charef, Abdelfettah ; Besançon, Alina Voda

Contributor:

Korbicz, Józef (1951- ) - red.

Title:

Optimal approximation, simulation and analog realization of the fundamental fractional order transfer function

Group publication title:

AMCS, volume 17 (2007)

Subject and Keywords:

fractional systems ; approximation ; simulation and distribution of the relaxation times function

Abstract:

This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems for a given frequency band by a rational function are presented. ; The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase error between the irrational transfer function and its rational approximation. A simple analog circuit which can serve as a fundamental analog fractional system is obtained. Illustrative examples are presented to show the quality and usefulness of the approximation method.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2007

Resource Type:

artykuł

DOI:

10.2478/v10006-007-0037-9

Pages:

455-462

Source:

AMCS, volume 17, number 4 (2007) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego