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

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.