Economic model predictive control without terminal constraints: Optimal periodic operation

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

Authors

External Research Organisations

  • University of Stuttgart
  • University of Bayreuth
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Details

Original languageEnglish
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4946-4951
Number of pages6
ISBN (electronic)9781479978861
Publication statusPublished - 8 Feb 2015
Externally publishedYes
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: 15 Dec 201518 Dec 2015

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546
ISSN (electronic)2576-2370

Abstract

In this paper, we analyze economic model predictive control schemes without terminal constraints, where the optimal operating regime is not steady-state operation, but periodic behavior. We first show by means of two counterexamples, that a classical 1-step receding horizon control scheme does not necessarily result in an optimal closed-loop performance. Instead, a multi-step MPC scheme may be needed in order to establish near optimal performance of the closed-loop system. This behavior is analyzed in detail, and we derive checkable dissipativity-like conditions in order to obtain closed-loop performance guarantees.

ASJC Scopus subject areas

Cite this

Economic model predictive control without terminal constraints: Optimal periodic operation. / Muller, Matthias A.; Grune, Lars.
54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 4946-4951 7402992 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015).

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

Muller, MA & Grune, L 2015, Economic model predictive control without terminal constraints: Optimal periodic operation. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7402992, Proceedings of the IEEE Conference on Decision and Control, vol. 54rd IEEE Conference on Decision and Control,CDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 4946-4951, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15 Dec 2015. https://doi.org/10.1109/CDC.2015.7402992
Muller, M. A., & Grune, L. (2015). Economic model predictive control without terminal constraints: Optimal periodic operation. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 4946-4951). Article 7402992 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402992
Muller MA, Grune L. Economic model predictive control without terminal constraints: Optimal periodic operation. In 54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 4946-4951. 7402992. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2015.7402992
Muller, Matthias A. ; Grune, Lars. / Economic model predictive control without terminal constraints : Optimal periodic operation. 54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 4946-4951 (Proceedings of the IEEE Conference on Decision and Control).
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