[article]
| Titre : |
PCA combined model-based design of experiments (DOE) criteria for differential and algebraic system parameter estimation |
| Type de document : |
texte imprimé |
| Auteurs : |
Yang Zhang, Auteur ; Thomas F. Edgar, Auteur |
| Année de publication : |
2008 |
| Article en page(s) : |
P. 7772-7783 |
| Note générale : |
Chemical engineering |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Design of experiments (DOE) |
| Résumé : |
Design of experiments (DOE) for parameter estimation in dynamic systems is receiving more attention from process system engineers. In this paper, a principal component analysis (PCA)-based optimal criterion (P-optimal) for model-based DOE is proposed that combines PCA with information matrix analysis. The P-optimal criterion is a general form that encompasses most widely used optimal design criteria such as D-, E-, and SV-optimal, and it can automatically choose the optimal objective function (criterion) to use for a specific differential and algebraic (DAE) system. Two engineering examples are used to validate the algorithms and assumptions. The advantages of P-optimal DOE include ease of reducing the scale of the optimization process by choosing parameter subsets to increase estimation accuracy of specific parameters and avoid an ill-conditioned information matrix. |
| En ligne : |
http://pubs.acs.org/doi/abs/10.1021/ie071206c |
in Industrial & engineering chemistry research > Vol. 47 N°20 (Octobre 2008) . - P. 7772-7783
[article] PCA combined model-based design of experiments (DOE) criteria for differential and algebraic system parameter estimation [texte imprimé] / Yang Zhang, Auteur ; Thomas F. Edgar, Auteur . - 2008 . - P. 7772-7783. Chemical engineering Langues : Anglais ( eng) in Industrial & engineering chemistry research > Vol. 47 N°20 (Octobre 2008) . - P. 7772-7783
| Mots-clés : |
Design of experiments (DOE) |
| Résumé : |
Design of experiments (DOE) for parameter estimation in dynamic systems is receiving more attention from process system engineers. In this paper, a principal component analysis (PCA)-based optimal criterion (P-optimal) for model-based DOE is proposed that combines PCA with information matrix analysis. The P-optimal criterion is a general form that encompasses most widely used optimal design criteria such as D-, E-, and SV-optimal, and it can automatically choose the optimal objective function (criterion) to use for a specific differential and algebraic (DAE) system. Two engineering examples are used to validate the algorithms and assumptions. The advantages of P-optimal DOE include ease of reducing the scale of the optimization process by choosing parameter subsets to increase estimation accuracy of specific parameters and avoid an ill-conditioned information matrix. |
| En ligne : |
http://pubs.acs.org/doi/abs/10.1021/ie071206c |
|
PCA combined model-based design of experiments (DOE) criteria for differential and algebraic system parameter estimation in Industrial & engineering chemistry research, Vol. 47 N°20 (Octobre 2008)
