On the design of terminal ingredients for data-driven MPC

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

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OriginalspracheEnglisch
Seiten (von - bis)257-263
Seitenumfang7
FachzeitschriftIFAC-PapersOnLine
Jahrgang54
Ausgabenummer6
Frühes Online-Datum9 Sept. 2021
PublikationsstatusVeröffentlicht - 2021
Veranstaltung7th IFAC Conference on Nonlinear Model Predictive Control (NMPC 2021) - Bratislava, Slowakei
Dauer: 11 Juli 202114 Juli 2021
Konferenznummer: 7

Abstract

We present a model predictive control (MPC) scheme to control linear time-invariant systems using only measured input-output data and no model knowledge. The scheme includes a terminal cost and a terminal set constraint on an extended state containing past input-output values. We provide an explicit design procedure for the corresponding terminal ingredients that only uses measured input-output data. Further, we prove that the MPC scheme based on these terminal ingredients exponentially stabilizes the desired setpoint in closed loop. Finally, we illustrate the advantages over existing data-driven MPC approaches with a numerical example.

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On the design of terminal ingredients for data-driven MPC. / Berberich, Julian; Köhler, Johannes; Müller, Matthias A. et al.
in: IFAC-PapersOnLine, Jahrgang 54, Nr. 6, 2021, S. 257-263.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Berberich J, Köhler J, Müller MA, Allgöwer F. On the design of terminal ingredients for data-driven MPC. IFAC-PapersOnLine. 2021;54(6):257-263. Epub 2021 Sep 9. doi: 10.48550/arXiv.2101.05573, 10.1016/j.ifacol.2021.08.554, 10.15488/15059
Berberich, Julian ; Köhler, Johannes ; Müller, Matthias A. et al. / On the design of terminal ingredients for data-driven MPC. in: IFAC-PapersOnLine. 2021 ; Jahrgang 54, Nr. 6. S. 257-263.
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abstract = "We present a model predictive control (MPC) scheme to control linear time-invariant systems using only measured input-output data and no model knowledge. The scheme includes a terminal cost and a terminal set constraint on an extended state containing past input-output values. We provide an explicit design procedure for the corresponding terminal ingredients that only uses measured input-output data. Further, we prove that the MPC scheme based on these terminal ingredients exponentially stabilizes the desired setpoint in closed loop. Finally, we illustrate the advantages over existing data-driven MPC approaches with a numerical example.",
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note = "Funding Information: This work was funded by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy - EXC 2075 - 3907740016. The authors thank the International Max Planck Research School for Intelligent Systems (IMPRS-IS) for supporting Julian Beberich, and the International Research Training Group Soft Tissue Robotics (GRK 2198/1 - 277536708).; 7th IFAC Conference on Nonlinear Model Predictive Control (NMPC 2021), NMPC 2021 ; Conference date: 11-07-2021 Through 14-07-2021",
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