Volterra equations for fractional behaviors modeling with application to lithium-ion cells
Language
EN
Communication dans un congrès avec actes
This item was published in
2022 American Control Conference (ACC), 2022 American Control Conference (ACC), Atlanta, GA, USA, 2022, 2022-06-08, Atlanta. 2022-09-05p. 4107-4112
English Abstract
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 ...Read more >
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.Read less <
Keywords
Fitting
Mathematical models
Data models
Numerical models
Behavioral sciences
Kernel
differential equations
Differentiation
Parameter estimation
Secondary cells
Volterra equations