Treffer: Analysis of linear dynamic systems of low rank

Title:
Analysis of linear dynamic systems of low rank
Authors:
REINIKAINEN, Satu-Pia, AALJOKI, Kari, HÖSKULDSSON, Agnar
Source:
New challenges for a maturing scienceAnalytica chimica acta. 544(1-2):2-14
Publisher Information:
Amsterdam: Elsevier, 2005.
Publication Year:
2005
Physical Description:
print, 9 ref
Original Material:
INIST-CNRS
Subject Terms:
Analytical chemistry, Chimie analytique, Sciences exactes et technologie, Exact sciences and technology, Chimie, Chemistry, Chimie analytique, Analytical chemistry, Algorithme, Algorithm, Algoritmo, Chimiométrie, Chemometrics, Quimiometría, Commande processus, Process control, Control proceso, Filtrage Kalman, Kalman filtering, Filtrado Kalman, Modélisation, Modeling, Modelización, Méthode chimique, Chemical method, Método químico, Méthode graphique, Graphic method, Método gráfico, Dynamic models, Graphics display of processes, H-principle, Low rank solutions, Supervision of processes
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Lappeenranta University of Technology, P.O. Box 20, 53851 Lappeenranta, Finland
Neste Engineering, PO Box 310, 06101 Porvoo, Finland
Technical University of Denmark, IPL, Bldg 358, 2800 Lyngby, Denmark
ISSN:
0003-2670
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=16941560
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Analytical chemistry
Accession Number:
edscal.16941560
Database:
PASCAL Archive

Weitere Informationen

The objective of this paper is to show how the procedures of traditional chemometrics like stepwise evaluation of the model, graphic analysis of the latent structure, etc., can be applied to common modeling methods in chemical engineering like for instance Kalman filtering. Procedures of how to find stable solutions for linear dynamic systems are presented. Different types of models are considered. The procedures are based on the H-principle of mathematical modeling. The basic idea is to approximate the solution by rank I parts. Each of them is found by optimizing the estimation and prediction part of the model. The approximations stop, when the prediction ability of the model cannot be improved for the present data. Therefore, the present methods give better prediction results than traditional methods that are based on exact solutions. The vectors used in the approximations can be used to carry out graphic analysis of the dynamic systems. It is shown how score vectors can display the low dimensional variation in data, the loading vectors display the correlation structure, and the transformation vectors how the variables generate the resulting variation in data; these graphic analysis have proven their importance in traditional chemometric methods. These graphics methods are important in supervising and controlling the process in light of the variation in data. The algorithms can provide with solutions of models having hundreds or thousands of variables. It is shown here how these algorithms can provide with solutions involving NIR data for process control having over 1000 variables.