Approximation of a fractance by a network of four identical RC cells arranged in gamma and a purely capacitive cell

Abstract : In this paper a storage I-element and a fractance are associated, thus defining a fractional system. In order to achieve the fractance, an approximation by a net-work of 4 identical RC cells arranged in gamma and a purely capacitive cell is proposed, thus defining a rational system. When compared to each other, the dynamic behaviors of the fractional and the rational systems show an excellent superposi-tion of frequency and time-domain responses. Moreover, the robustness of stability margins obtained with both systems is illustrated versus variations of the I-element.
Type de document :
Chapitre d'ouvrage
New Trends in Nanotechnology and Fractional Calculus Applications, Springer, pp.107-120, 2010
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https://hal.archives-ouvertes.fr/hal-00357039
Contributeur : Xavier Moreau <>
Soumis le : jeudi 29 janvier 2009 - 13:23:52
Dernière modification le : lundi 19 février 2018 - 15:50:04

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  • HAL Id : hal-00357039, version 1

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Xavier Moreau, Firas Khemane, Rachid Malti, Pascal Serrier. Approximation of a fractance by a network of four identical RC cells arranged in gamma and a purely capacitive cell. New Trends in Nanotechnology and Fractional Calculus Applications, Springer, pp.107-120, 2010. 〈hal-00357039〉

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