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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.
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Contributor : Xavier Moreau <>
Submitted on : Thursday, January 29, 2009 - 1:23:52 PM
Last modification on : Tuesday, March 31, 2020 - 2:12:13 PM

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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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