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Model-based design of experiments under structural model uncertainty

Galvanin, F; Quaglio, M; Fraga, E; (2017) Model-based design of experiments under structural model uncertainty. In: Espuña, A and Graells, M and Puigjaner, L, (eds.) Computer Aided Engineering. (pp. pp. 145-150). Elsevier: Barcelona, Spain.

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Abstract

The development of comprehensive models for describing kinetic phenomena typically requires the extensive employment of resources for both determining the model structure and to precisely estimate the set of model parameters. For this reason, approximated model structures are normally employed instead of the comprehensive ones. The estimation of parameters in an incorrect model is not a trivial task. The expected information for the estimation of the model parameters is evaluated through the Fisher Information Matrix (FIM). Model-based design of experiments (MBDoE) methods for parameter precision do not take into account the structural model uncertainty in the formulation of FIM-based information metrics. In this work, an Extended FIM (E-FIM) is proposed, which carries information about the incorrect model structure. Its properties are discussed through its application on a simulated case with a biomass growth model.

Type: Proceedings paper
Title: Model-based design of experiments under structural model uncertainty
Event: ESCAPE 27 - 27th European Symposium on Computer Aided Process Engineering
Location: Barcelona
Dates: 01 October 2017 - 05 October 2017
DOI: 10.1016/B978-0-444-63965-3.50026-X
Publisher version: https://doi.org/10.1016/B978-0-444-63965-3.50026-X
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: MBDoE, Fisher information, parameter precision, structural uncertainty
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/1566838
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