Identification of the dynamics of a lead acid battery by a diffusive model

Free access article

Issue		ESAIM: Proc. Volume 5, 1998 Fractional Differential Systems: Models, Methods and Applications


Page(s)		87 - 98
DOI		http://dx.doi.org/10.1051/proc:1998015

ESAIM: Proc., 1998, Vol. 5, pp. 87-98
DOI: 10.1051/proc:1998015

Identification of the dynamics of a lead acid battery by a diffusive model

Germain Garcia¹ and Jacques Bernussou²

¹ L.A.A.S. du C.N.R.S. 7, Avenue du Colonel Roche, 31077 Toulouse cedex 4. also with I.N.S.A. de Toulouse, Complexe scientifique de Rangueil, 31077 Toulouse cedex 4, France
² L.A.A.S. du C.N.R.S. 7, Avenue du Colonel Roche, 31077 Toulouse cedex 4, France

Abstract
In this paper, some preliminary results on identification of diffusive models using input/output measurements are proposed. The idea consists in considering a finite dimensional approximation of the diffusive model and formulating an optimisation problem of a least square error type. To identify such a model, it is necessary to estimate a distribution which fully characterises the system dynamics. This distribution constitutes the unknown of the problem. These results are applied to the model identification of a lead acid battery.

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