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Analysis of a fractional system composed of an I-element and a fractance

Abstract : This paper deals with a fractional system composed of a storage I-element and a fractance. The fractance is approximate by a network of 4 identical RC cells arranged in gamma and a purely capacitive cell, thus defining a rational system. When compared to each other, the dynamic behaviors of the fractional and the rational system show an excellent superposition 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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Submitted on : Monday, January 26, 2009 - 11:03:53 AM
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Xavier Moreau, Pascal Serrier, Rachid Malti, Firas Khemane. Analysis of a fractional system composed of an I-element and a fractance. The 3th IFAC Workshop on Fractional Differentiation and its Applications, FDA08, Nov 2008, Ankara, Turkey. pp.1-6. ⟨hal-00326417⟩

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