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Economic model predictive control with transient average constraints

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Authors

External Research Organisations

  • University of Stuttgart
  • Imperial College London
  • University of Florence (UniFi)
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Details

Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5119-5124
Number of pages6
ISBN (print)9781467357173
Publication statusPublished - 2013
Externally publishedYes
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: 10 Dec 201313 Dec 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (electronic)2576-2370

Abstract

In this paper, we propose an economic model predictive control algorithm which ensures satisfaction of transient average constraints, i.e., constraints on input and state variables averaged over some finite time period. Compared to asymptotic average constraints, this stricter form might be of independent interest in various applications such as the operation of a chemical reactor, where e.g. the amount of inflow during each one hour period must not exceed a certain value. We show that compared to asymptotic average constraints, a different constraint formulation within the optimization problem solved at each time instant is needed, but that certain results such as closed-loop average performance and convergence established for the former setting can be transferred to the case of transient average constraints.

ASJC Scopus subject areas

Cite this

Economic model predictive control with transient average constraints. / Müller, Matthias A.; Angeli, David; Allgöwer, Frank.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 5119-5124 6760693 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Müller, MA, Angeli, D & Allgöwer, F 2013, Economic model predictive control with transient average constraints. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6760693, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5119-5124, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 10 Dec 2013. https://doi.org/10.1109/CDC.2013.6760693
Müller, M. A., Angeli, D., & Allgöwer, F. (2013). Economic model predictive control with transient average constraints. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 5119-5124). Article 6760693 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760693
Müller MA, Angeli D, Allgöwer F. Economic model predictive control with transient average constraints. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc. 2013. p. 5119-5124. 6760693. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2013.6760693
Müller, Matthias A. ; Angeli, David ; Allgöwer, Frank. / Economic model predictive control with transient average constraints. 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 5119-5124 (Proceedings of the IEEE Conference on Decision and Control).
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abstract = "In this paper, we propose an economic model predictive control algorithm which ensures satisfaction of transient average constraints, i.e., constraints on input and state variables averaged over some finite time period. Compared to asymptotic average constraints, this stricter form might be of independent interest in various applications such as the operation of a chemical reactor, where e.g. the amount of inflow during each one hour period must not exceed a certain value. We show that compared to asymptotic average constraints, a different constraint formulation within the optimization problem solved at each time instant is needed, but that certain results such as closed-loop average performance and convergence established for the former setting can be transferred to the case of transient average constraints.",
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