Economic model predictive control without terminal constraints: Optimal periodic operation

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

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  • Universität Stuttgart
  • Universität Bayreuth
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OriginalspracheEnglisch
Titel des Sammelwerks54rd IEEE Conference on Decision and Control,CDC 2015
Herausgeber (Verlag)Institute of Electrical and Electronics Engineers Inc.
Seiten4946-4951
Seitenumfang6
ISBN (elektronisch)9781479978861
PublikationsstatusVeröffentlicht - 8 Feb. 2015
Extern publiziertJa
Veranstaltung54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Dauer: 15 Dez. 201518 Dez. 2015

Publikationsreihe

NameProceedings of the IEEE Conference on Decision and Control
Band54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546
ISSN (elektronisch)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.

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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. S. 4946-4951 7402992 (Proceedings of the IEEE Conference on Decision and Control; Band 54rd IEEE Conference on Decision and Control,CDC 2015).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-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, Bd. 54rd IEEE Conference on Decision and Control,CDC 2015, Institute of Electrical and Electronics Engineers Inc., S. 4946-4951, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15 Dez. 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 (S. 4946-4951). Artikel 7402992 (Proceedings of the IEEE Conference on Decision and Control; Band 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. S. 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. S. 4946-4951 (Proceedings of the IEEE Conference on Decision and Control).
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N2 - 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.

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