TARTAGLIONE, Vincent; FARGES, Christophe; SABATIER, Jocelyn

doi:10.23919/ACC53348.2022.9867789

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TARTAGLIONE, Vincent

Laboratoire de l'intégration, du matériau au système [IMS]

FARGES, Christophe
Laboratoire de l'intégration, du matériau au système [IMS]

SABATIER, Jocelyn

Laboratoire de l'intégration, du matériau au système [IMS]

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Communication dans un congrès avec actes

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2022 American Control Conference (ACC), 2022 American Control Conference (ACC), Atlanta, GA, USA, 2022, 2022-06-08, Atlanta. 2022-09-05p. 4107-4112

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This paper proposes to model fractional behaviors using Volterra equations. As fractional differentiation based models that are commonly used to model such behaviors exhibit several drawbacks and are particular cases of Volterra equations (in the kernel definition), it appears legitimate in a modeling approach to work directly with Volterra equations. In this paper, a numerical method is thus developed to identify the kernel associated to a Volterra equation that describes the input-output behavior of a system. This method is used to model a lithium-ion cell using real data. The resulting model is compared to a fractional differentiation based model with the same number of tunable parameters.< Réduire

Mots clés

Fitting

Mathematical models

Data models

Numerical models

Behavioral sciences

Kernel

differential equations

Differentiation

Parameter estimation

Secondary cells

Volterra equations

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Volterra equations for fractional behaviors modeling with application to lithium-ion cells

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