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Experimental Validation of an Enhanced System Synthesis Approach Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Designing a Feedback Control System via Mixed-Integer Programming

Authors : Lena C. Altherr, Thorsten Ederer, Ulf Lorenz, Peter F. Pelz, Philipp Pöttgen

Published in: Operations Research Proceedings 2014

Publisher: Springer International Publishing

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Abstract

Pure analytical or experimental methods can only find a control strategy for technical systems with a fixed setup. In former contributions we presented an approach that simultaneously finds the optimal topology and the optimal open-loop control of a system via Mixed Integer Linear Programming (MILP). In order to extend this approach by a closed-loop control we present a Mixed Integer Program for a time discretized tank level control. This model is the basis for an extension by combinatorial decisions and thus for the variation of the network topology. Furthermore, one is able to appraise feasible solutions using the global optimality gap.

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Literature
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Dörig, B., Ederer, T., Hedrich, P., Lorenz, U., Pelz, P. F., Pöttgen, P.: Technical operations research (TOR) exemplified by a hydrostatic power transmission system (2014)
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Pelz, P., Lorenz, U.: Besser gehts nicht! TOR plant das energetisch optimale Fluidsystem. delta p, Ausgabe 3, ErP Spezial (2013)
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Pelz, P. F., Lorenz, U., Ederer, T., Lang, S., Ludwig, G.: Designing pump systems by discrete mathematical topology optimization: The artificial fluid systems designer (AFSD) (2012)
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Schrijver, A.: Theory of Linear and Integer Programming. Wiley (1998)
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Vielma, J. P., Ahmed, S., Nemhauser, G.: Mixed-integer models for nonseparable piecewise-linear optimization: unifying framework and extensions. Oper. Res. 58(2), 303–315 (2010)
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Ziegler, J., Nichols, N.: Optimum settings for automatic controllers. Trans. ASME, 64(11) (1942)
Metadata
Title
Designing a Feedback Control System via Mixed-Integer Programming
Authors
Lena C. Altherr
Thorsten Ederer
Ulf Lorenz
Peter F. Pelz
Philipp Pöttgen
Copyright Year
2016
Book
Operations Research Proceedings 2014

Print ISBN: 978-3-319-28695-2

Electronic ISBN: 978-3-319-28697-6

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-28697-6_18