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Autori principali: Johnson, Collin R., de Vries, Stijn, Wohlgemuth, Kerstin, Lucia, Sergio
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2503.22520
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author Johnson, Collin R.
de Vries, Stijn
Wohlgemuth, Kerstin
Lucia, Sergio
author_facet Johnson, Collin R.
de Vries, Stijn
Wohlgemuth, Kerstin
Lucia, Sergio
contents This paper presents a novel dynamic model for slug flow crystallizers that addresses the challenges of spatial distribution without backmixing or diffusion, potentially enabling advanced model-based control. The developed model can accurately describe the main characteristics of slug flow crystallizers, including slug-to-slug variability but leads to a high computational complexity due to the consideration of partial differential equations and population balance equations. For that reason, the model cannot be directly used for process optimization and control. To solve this challenge, we propose two different approaches, conformalized quantile regression and Bayesian last layer neural networks, to develop surrogate models with uncertainty quantification capabilities. These surrogates output a prediction of the system states together with an uncertainty of these predictions to account for process variability and model uncertainty. We use the uncertainty of the predictions to formulate a robust model predictive control approach, enabling robust real-time advanced control of a slug flow crystallizer.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22520
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-stage model predictive control for slug flow crystallizers using uncertainty-aware surrogate models
Johnson, Collin R.
de Vries, Stijn
Wohlgemuth, Kerstin
Lucia, Sergio
Systems and Control
This paper presents a novel dynamic model for slug flow crystallizers that addresses the challenges of spatial distribution without backmixing or diffusion, potentially enabling advanced model-based control. The developed model can accurately describe the main characteristics of slug flow crystallizers, including slug-to-slug variability but leads to a high computational complexity due to the consideration of partial differential equations and population balance equations. For that reason, the model cannot be directly used for process optimization and control. To solve this challenge, we propose two different approaches, conformalized quantile regression and Bayesian last layer neural networks, to develop surrogate models with uncertainty quantification capabilities. These surrogates output a prediction of the system states together with an uncertainty of these predictions to account for process variability and model uncertainty. We use the uncertainty of the predictions to formulate a robust model predictive control approach, enabling robust real-time advanced control of a slug flow crystallizer.
title Multi-stage model predictive control for slug flow crystallizers using uncertainty-aware surrogate models
topic Systems and Control
url https://arxiv.org/abs/2503.22520