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

Autor:	Stefan Körkel, Günter Wozny, C C Diana López, Tilman Barz
Rok vydání:	2015
Předmět:	Well-posed problem Tikhonov regularization Nonlinear system Mathematical optimization Estimation theory General Chemical Engineering Singular value decomposition Sound analysis Identifiability Regularization (mathematics) Computer Science Applications Mathematics
Zdroj:	Computers & Chemical Engineering. 77:24-42
ISSN:	0098-1354
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::55b369a6babe51bd60fcc8f87aa1b743 https://doi.org/10.1016/j.compchemeng.2015.03.002 Zobrazit plný text záznamu Full Text from ScienceDirect