Experimental evaluation of an approach to online redesign of experiments for parameter determination

The online redesign of experiments for parameter determination of nonlinear dynamic systems has been studied recently by different research groups. In this article, this technique is assessed in a real case study for the first time. The presented algorithm adopts well‐known concepts from model‐based...

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Bibliographic Details
Published in:AIChE journal 2013-06, Vol.59 (6), p.1981-1995
Main Authors: Barz, Tilman, López Cárdenas, Diana C., Arellano-Garcia, Harvey, Wozny, Günter
Format: Article
Language:English
Subjects:
Algorithms
Chromatography
Dynamical systems
Integration
Mathematical models
Nonlinear dynamics
Nonlinear programming
numerical solutions
On-line systems
Online
optimization
Parameter estimation
Redesign
Solvers
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Summary:The online redesign of experiments for parameter determination of nonlinear dynamic systems has been studied recently by different research groups. In this article, this technique is assessed in a real case study for the first time. The presented algorithm adopts well‐known concepts from model‐based control. Compared to previous studies, special attention is given to the efficient treatment of the underlying nonlinear and possibly ill‐conditioned parameter estimation and experiment design problems. These problems are solved with single shooting and gradient‐based nonlinear programming (NLP) solvers. We use an initial value solver, which generates first‐ and second‐order sensitivities to compute exact derivatives of the problem functions. As a special feature, we propose the integration of a local parameter identifiability analysis and a corresponding algorithm that generates well‐conditioned problems. The practical applicability is demonstrated by experimental application to a chromatography column system where A, D, and E optimal experiments are performed. © 2012 American Institute of Chemical Engineers AIChE J, 59: 1981–1995, 2013
ISSN:0001-1541
1547-5905
DOI:10.1002/aic.13957