Set-based disturbance attenuation in economic model predictive control

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

Autoren

Externe Organisationen

  • Universität Stuttgart
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Details

OriginalspracheEnglisch
Titel des Sammelwerks19th IFAC World Congress IFAC 2014, Proceedings
Herausgeber/-innenEdward Boje, Xiaohua Xia
Herausgeber (Verlag)IFAC Secretariat
Seiten1898-1903
Seitenumfang6
ISBN (elektronisch)9783902823625
PublikationsstatusVeröffentlicht - 2014
Extern publiziertJa
Veranstaltung19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, Südafrika
Dauer: 24 Aug. 201429 Aug. 2014

Publikationsreihe

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Band19
ISSN (Print)1474-6670

Abstract

In this paper, we develop a tube-based economic MPC framework for nonlinear systems subject to unknown but bounded disturbances. We show that just transferring the design procedure of tube-based stabilizing MPC to an economic MPC framework might not be the optimal choice in terms of the achievable asymptotic average performance. Instead, the asymptotic average performance can possibly be improved by considering the influence of the disturbance explicitly within the design of the control input. This will be done by using a specifically defined integral stage cost, which is the key feature of our proposed robust economic MPC algorithm. Furthermore, we show that for this algorithm, similar results as in nominal economic MPC (i.e., without disturbances) can be established, in particular with respect to bounds on the asymptotic average performance of the resulting closed-loop system as well as stability.

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Set-based disturbance attenuation in economic model predictive control. / Bayer, Florian A.; Müller, Matthias A.; Allgöwer, Frank.
19th IFAC World Congress IFAC 2014, Proceedings. Hrsg. / Edward Boje; Xiaohua Xia. IFAC Secretariat, 2014. S. 1898-1903 (IFAC Proceedings Volumes (IFAC-PapersOnline); Band 19).

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

Bayer, FA, Müller, MA & Allgöwer, F 2014, Set-based disturbance attenuation in economic model predictive control. in E Boje & X Xia (Hrsg.), 19th IFAC World Congress IFAC 2014, Proceedings. IFAC Proceedings Volumes (IFAC-PapersOnline), Bd. 19, IFAC Secretariat, S. 1898-1903, 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, Südafrika, 24 Aug. 2014. https://doi.org/10.3182/20140824-6-za-1003.00951
Bayer, F. A., Müller, M. A., & Allgöwer, F. (2014). Set-based disturbance attenuation in economic model predictive control. In E. Boje, & X. Xia (Hrsg.), 19th IFAC World Congress IFAC 2014, Proceedings (S. 1898-1903). (IFAC Proceedings Volumes (IFAC-PapersOnline); Band 19). IFAC Secretariat. https://doi.org/10.3182/20140824-6-za-1003.00951
Bayer FA, Müller MA, Allgöwer F. Set-based disturbance attenuation in economic model predictive control. in Boje E, Xia X, Hrsg., 19th IFAC World Congress IFAC 2014, Proceedings. IFAC Secretariat. 2014. S. 1898-1903. (IFAC Proceedings Volumes (IFAC-PapersOnline)). doi: 10.3182/20140824-6-za-1003.00951
Bayer, Florian A. ; Müller, Matthias A. ; Allgöwer, Frank. / Set-based disturbance attenuation in economic model predictive control. 19th IFAC World Congress IFAC 2014, Proceedings. Hrsg. / Edward Boje ; Xiaohua Xia. IFAC Secretariat, 2014. S. 1898-1903 (IFAC Proceedings Volumes (IFAC-PapersOnline)).
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