A methodology for estimation of physical parameters

Authors:
Jean-Claude Trigeassou;Thierry Poinot;Sandrine Moreau
Affiliations:
LAII-ESIP, 40 Avenue du Recteur Pineau, 86022 Poitiers Cedex, France;LAII-ESIP, 40 Avenue du Recteur Pineau, 86022 Poitiers Cedex, France;LAII-ESIP, 40 Avenue du Recteur Pineau, 86022 Poitiers Cedex, France
Venue:
Systems Analysis Modelling Simulation
Year:
2003

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Abstract

This article deals with the estimation of physical parameters. This estimation is performed using an Output Error algorithm based on nonlinear optimization. Output Error techniques permit to obtain unbiased estimation and can be applied either to linear systems or nonlinear ones. The usual quadratic criterion is modified in order to include prior physical knowledge. A deterministic interpretation of this criterion is given in the linear parameter case and in the nonlinear parameter one. Estimation is also improved using direct optimization by physical parameters, owing to a generalized formulation of sensitivity functions. A real electrical engineering example illustrates the efficiency of this methodology.