Abstract
We treat a simplified model of a Simulated Moving Bed (SMB) chromatographic separation process that contains time-dependent discrete decisions. SMB processes have been gaining increased attention lately, see [3], [4] for further references. The related optimization problems are challenging from a mathematical point of view, as they combine periodic nonlinear optimal control problems in partial differential equations (PDE) with time-dependent discrete decisions. For this problem class of mixed-integer optimal control problems (MIOCP) a novel numerical method, developed in [5], is applied.
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References
H.G. Bock and K.J. Plitt. A multiple shooting algorithm for direct solution of optimal control problems. In Proceedings 9th IFAC World Congress Budapest, pages 243–247. Pergamon Press, 1984.
M. Diehl and A. Walther. A test problem for periodic optimal control algorithms. Technical report, ESAT/SISTA, K.U. Leuven, 2006.
S. Engell and A. Toumi. Optimisation and control of chromatography. Computers and Chemical Engineering, 29:1243–1252, 2005.
Y. Kawajiri and L.T. Biegler. Large-scale optimization strategies for zone configuration of simulated moving beds. In 16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering. Elsevier, 2006.
S. Sager. Numerical methods for mixed-integer optimal control problems. Der andere Verlag, Tönning, Lübeck, Marburg, 2005. ISBN 3-89959-416-9. Available at http://sager1.de/sebastian/downloads/Sager2005.pdf.
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Sager, S., Diehl, M., Singh, G., Küpper, A., Engell, S. (2007). Determining SMB Superstructures by Mixed-Integer Optimal Control. In: Waldmann, KH., Stocker, U.M. (eds) Operations Research Proceedings 2006. Operations Research Proceedings, vol 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69995-8_6
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DOI: https://doi.org/10.1007/978-3-540-69995-8_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69994-1
Online ISBN: 978-3-540-69995-8
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