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

Abdelbaki Djouambi; Abdelfatah Charef; Alina Voda besancon

International Journal of Applied Mathematics and Computer Science (2007)

- Volume: 17, Issue: 4, page 455-462
- ISSN: 1641-876X

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topDjouambi, Abdelbaki, Charef, Abdelfatah, and Voda besancon, Alina. "Optimal approximation simulation and analog realization of the fundamental fractional order transfer function." International Journal of Applied Mathematics and Computer Science 17.4 (2007): 455-462. <http://eudml.org/doc/207850>.

@article{Djouambi2007,

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 fora 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.},

author = {Djouambi, Abdelbaki, Charef, Abdelfatah, Voda besancon, Alina},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {simulation and distribution of the relaxation times function; approximation; fractional systems},

language = {eng},

number = {4},

pages = {455-462},

title = {Optimal approximation simulation and analog realization of the fundamental fractional order transfer function},

url = {http://eudml.org/doc/207850},

volume = {17},

year = {2007},

}

TY - JOUR

AU - Djouambi, Abdelbaki

AU - Charef, Abdelfatah

AU - Voda besancon, Alina

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2007

VL - 17

IS - 4

SP - 455

EP - 462

AB - 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 fora 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.

LA - eng

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

UR - http://eudml.org/doc/207850

ER -

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