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Designing a Feedback Control System via Mixed-Integer Programming

In: Operations Research Proceedings 2014

Author

Listed:
  • Lena C. Altherr

    (Chair of Fluid Systems, TU Darmstadt)

  • Thorsten Ederer

    (Discrete Optimization, TU Darmstadt)

  • Ulf Lorenz

    (Chair of Fluid Systems, TU Darmstadt)

  • Peter F. Pelz

    (Chair of Fluid Systems, TU Darmstadt)

  • Philipp Pöttgen

    (Chair of Fluid Systems, TU Darmstadt)

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.

Suggested Citation

  • Lena C. Altherr & Thorsten Ederer & Ulf Lorenz & Peter F. Pelz & Philipp Pöttgen, 2016. "Designing a Feedback Control System via Mixed-Integer Programming," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 121-127, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-28697-6_18
    DOI: 10.1007/978-3-319-28697-6_18
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