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Chapitre D'ouvrage Année : 2010

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

Résumé

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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Dates et versions

hal-00357039 , version 1 (29-01-2009)

Identifiants

  • HAL Id : hal-00357039 , version 1

Citer

Xavier Moreau, Firas Khemane, Rachid R. 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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