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Authors: Sebastian Recker 1 ; Peter Kühl 2 ; Moritz Diehl 3 and Hans Georg Bock 4

Affiliations: 1 RWTH Aachen University, Germany ; 2 BASF SE, Germany ; 3 KU Leuven, Belgium ; 4 University of Heidelberg, Germany

Keyword(s): Parametric Uncertainty, Optimal Control, Batch Process, Unscented Transformation.

Related Ontology Subjects/Areas/Topics: Application Domains ; Chemical and Petroleum Engineering ; Dynamical Systems Models and Methods ; Formal Methods ; Optimization Issues ; Simulation and Modeling

Abstract: Mathematical models describing dynamic processes contain parametric uncertainties. Robust model-based optimization thus becomes a challenging task in process engineering. Current approaches either require high computational effort or they make use of oversimplified approximations that do not capture changes in the solution structure due to nonlinear effects of the uncertain parameters on the states of the process. In this paper we propose an improved optimization approach that uses sigmapoints to characterize the space of uncertain parameters. Propagating sigmapoints through the process model and directly using them in the optimization problem allows to capture relevant nonlinearities for the uncertain parameters. Main advantages of this simple yet elegant approach are the relatively low computational burden and the independence from the optimizer, as no further derivatives are needed. The approach is applied to two examples from process engineering, a batch distillation and a semiba tch reactor. (More)

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Paper citation in several formats:
Recker, S.; Kühl, P.; Diehl, M. and Georg Bock, H. (2012). Sigmapoint Approach for Robust Optimization of Nonlinear Dynamic Systems. In Proceedings of the 2nd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH; ISBN 978-989-8565-20-4; ISSN 2184-2841, SciTePress, pages 199-207. DOI: 10.5220/0004026401990207

@conference{simultech12,
author={Sebastian Recker. and Peter Kühl. and Moritz Diehl. and Hans {Georg Bock}.},
title={Sigmapoint Approach for Robust Optimization of Nonlinear Dynamic Systems},
booktitle={Proceedings of the 2nd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH},
year={2012},
pages={199-207},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004026401990207},
isbn={978-989-8565-20-4},
issn={2184-2841},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH
TI - Sigmapoint Approach for Robust Optimization of Nonlinear Dynamic Systems
SN - 978-989-8565-20-4
IS - 2184-2841
AU - Recker, S.
AU - Kühl, P.
AU - Diehl, M.
AU - Georg Bock, H.
PY - 2012
SP - 199
EP - 207
DO - 10.5220/0004026401990207
PB - SciTePress

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