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Simultaneous solution approach to modelbased experimental design

Hoang, MD, Barz, T, Merchan, V, Biegler, LT and Arellano-Garcia, H (2013) Simultaneous solution approach to modelbased experimental design AIChE Journal, 59 (11). pp. 4006-4451.

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A model-based experimental design is formulated and solved as a large-scale NLP problem. The key idea of the proposed approach is the extension of model equations with sensitivity equations forming an extended sensitivities-state equation system. The resulting system is then totally discretized and simultaneously solved as constraints of the NLP problem. Thereby, higher derivatives of the parameter sensitivities with respect to the control variables are directly calculated and exact. This is an advantage in comparison with proposed sequential approaches to model-based experimental design so far, where these derivatives have to be additionally integrated throughout the optimization steps. This can end up in a high-computational load especially for systems with many control variables. Furthermore, an advanced sampling strategy is proposed which combines the strength of the optimal sampling design and the variation of the collocation element lengths while fully using the entire optimization space of the simultaneous formulation.

Item Type: Article
Subjects : Chemical Engineering
Divisions : Faculty of Engineering and Physical Sciences > Chemical and Process Engineering
Authors :
Hoang, MD
Barz, T
Merchan, V
Biegler, LT
Arellano-Garcia, H
Date : November 2013
DOI : 10.1002/aic.14145
Copyright Disclaimer : © 2013 American Institute of Chemical Engineers
Depositing User : Symplectic Elements
Date Deposited : 24 Aug 2016 13:28
Last Modified : 31 Oct 2017 18:36

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