Paper: Identifiability and distinguishability concepts in electrochemistry

Authors:
F. Berthier;J. -P. Diard;L. Pronzato;E. Walter
Affiliations:
Laboratoire de Métallurgie, U.R.A. CNRS 1107, Université Paris XI, 91405 Orsay, France;ENSEEG, Centre de Recherche en Électrochimie Minérale et Génie des Procédés, U.R.A. CNRS 1212, B.P. 75, 38402 Saint-Martin-d'Hères, France;Laboratoire Informatique, Signaux et Systèmes de Sophia Antipolis, U.R.A. CNRS 1376, 06560 Valbonne, France;Laboratoire des Signaux et Systèmes, CNRS-ESE, 91192 Gif-sur-Yvette Cedex, France
Venue:
Automatica (Journal of IFAC)
Year:
1996

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Abstract

Although the notions of structural identifiability and distinguishability are now well accepted in some domains of mathematical modeling such as econometrics, biology and pharmacokinetics, much remains to be done in others. The relevance of these notions to the building of phenomenological models in electrochemistry is illustrated by considering the Volmer-Heyrovsky reaction and three mechanisms for dissolution-passivation. It is shown that some classical methods for collecting data cannot ensure suitable identifiability and distinguishability properties. In some cases, simple modifications of the experimental procedure can remove these ambiguities. In others, one may resort to more recent techniques of investigation.