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Online constraint adaptation in economic model predictive control
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-3476-9849
KTH, School of Electrical Engineering (EES), Automatic Control.
KTH, School of Electrical Engineering (EES), Automatic Control.
2017 (English)In: IFAC-PapersOnLine, ISSN 2405-8963, Vol. 50, no 1, p. 9065-9070Article in journal (Refereed) Published
Abstract [en]

In economic model predictive control (EMPC), the standard quadratic objective function of MPC is replaced with an economic objective such that the controller directly optimizes the economic performance of the plant. However, economic objective functions are likely to be monotone in some input direction, and this will typically lead to operation with constraints active. Operating the plant with active constraints is not economically robust; even small disturbances or errors could cause constraint violations which may lead to large costs. In this paper we address this issue by adding margins to the constraints in order to force the plant to operate in the interior of the feasible set, thereby providing some robustness to uncertainty. To determine the magnitude of these margins, we introduce an outer loop which optimizes the margins online based on measurements of the closed-loop economic performance. Our approach is simple to implement and introduces essentially no computational overhead as compared to the nominal EMPC problem. In addition, only minimal knowledge of the uncertainties present in the system is required.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 50, no 1, p. 9065-9070
Keywords [en]
Economic model predictive control, online optimization, stochastic approximation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-223051DOI: 10.1016/j.ifacol.2017.08.1633ISI: 000423965100011Scopus ID: 2-s2.0-85031787488OAI: oai:DiVA.org:kth-223051DiVA, id: diva2:1183994
Note

QC 20180220. Funding Agency: Swedish Department of Energy, under the grant HOPE II 2016-02390 

Available from: 2018-02-20 Created: 2018-02-20 Last updated: 2018-03-05Bibliographically approved

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Trollberg, OlleJacobsen, Elling W.

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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