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Communication Dans Un Congrès Année : 2022

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

Résumé

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.
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Dates et versions

hal-04110093 , version 1 (30-05-2023)

Identifiants

Citer

Vincent Tartaglione, Christophe Farges, Jocelyn Sabatier. Volterra equations for fractional behaviors modeling with application to lithium-ion cells. 2022 American Control Conference (ACC), Jun 2022, Atlanta, United States. pp.4107-4112, ⟨10.23919/ACC53348.2022.9867789⟩. ⟨hal-04110093⟩
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