Creator:
Djouambi, Abdelbaki ; Charef, Abdelfettah ; Besançon, Alina Voda
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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
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Source:
AMCS, volume 17, number 4 (2007) ; click here to follow the link