Nonlinear ill-posed problem analysis in model-based parameter estimation and experimental design

Discrete ill-posed problems are often encountered in engineering applications. Still, their sound analysis is not yet common practice and difficulties arising in the determination of uncertain parameters are typically not assigned properly. This contribution provides a tutorial review on methods for...

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Bibliographic Details
Main Authors: López Cárdenas, Diana Carolina (Author) , Barz, Tilman (Author) , Körkel, Stefan (Author) , Wozny, Günter (Author)
Format: Article (Journal)
Language:English
Published: 12 March 2015
In: Computers & chemical engineering
Year: 2015, Volume: 77, Pages: 24-42
ISSN:0098-1354
DOI:10.1016/j.compchemeng.2015.03.002
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.compchemeng.2015.03.002
Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0098135415000733
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Author Notes:Diana C. López C., Tilman Barz, Stefan Körkel, Günter Wozny
Description
Summary:Discrete ill-posed problems are often encountered in engineering applications. Still, their sound analysis is not yet common practice and difficulties arising in the determination of uncertain parameters are typically not assigned properly. This contribution provides a tutorial review on methods for identifiability analysis, regularization techniques and optimal experimental design. A guideline for the analysis and classification of nonlinear ill-posed problems to detect practical identifiability problems is given. Techniques for the regularization of experimental design problems resulting from ill-posed parameter estimations are discussed. Applications are presented for three different case studies of increasing complexity.
Item Description:Gesehen am 02.06.2020
Physical Description:Online Resource
ISSN:0098-1354
DOI:10.1016/j.compchemeng.2015.03.002