Robust Economic Model Predictive Control without Terminal Conditions

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

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OriginalspracheEnglisch
Seiten (von - bis)7097-7104
Seitenumfang8
FachzeitschriftIFAC-PapersOnLine
Jahrgang53
Ausgabenummer2
PublikationsstatusVeröffentlicht - 2020
Veranstaltung21st IFAC World Congress 2020 - Berlin, Deutschland
Dauer: 12 Juli 202017 Juli 2020

Abstract

In this paper, a novel tube-based economic Model Predictive Control (MPC) scheme for uncertain systems that uses neither terminal costs nor terminal constraints is investigated. We show that the results from the undisturbed case can be extended to systems with bounded disturbances by using similar turnpike arguments and a properly modified stage cost. We prove robust guarantees on the closed-loop performance, convergence, and stability under suitable dissipativity and controllability conditions and discuss them in a numerical example.

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Robust Economic Model Predictive Control without Terminal Conditions. / Schwenkel, Lukas; Köhler, Johannes; Müller, Matthias A. et al.
in: IFAC-PapersOnLine, Jahrgang 53, Nr. 2, 2020, S. 7097-7104.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Schwenkel, L, Köhler, J, Müller, MA & Allgöwer, F 2020, 'Robust Economic Model Predictive Control without Terminal Conditions', IFAC-PapersOnLine, Jg. 53, Nr. 2, S. 7097-7104. https://doi.org/10.1016/j.ifacol.2020.12.465
Schwenkel, L., Köhler, J., Müller, M. A., & Allgöwer, F. (2020). Robust Economic Model Predictive Control without Terminal Conditions. IFAC-PapersOnLine, 53(2), 7097-7104. https://doi.org/10.1016/j.ifacol.2020.12.465
Schwenkel L, Köhler J, Müller MA, Allgöwer F. Robust Economic Model Predictive Control without Terminal Conditions. IFAC-PapersOnLine. 2020;53(2):7097-7104. doi: 10.1016/j.ifacol.2020.12.465
Schwenkel, Lukas ; Köhler, Johannes ; Müller, Matthias A. et al. / Robust Economic Model Predictive Control without Terminal Conditions. in: IFAC-PapersOnLine. 2020 ; Jahrgang 53, Nr. 2. S. 7097-7104.
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note = "Funding Information: This work was supported by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Grants GRK 2198/1 - 277536708, AL 316/12-2 and MU 3929/1-2 - 279734922. The authors thank the International Max Planck Research School for Intelligent Systems (IMPRS-IS) for supporting Lukas Schwenkel.; 21st IFAC World Congress 2020 ; Conference date: 12-07-2020 Through 17-07-2020",
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T1 - Robust Economic Model Predictive Control without Terminal Conditions

AU - Schwenkel, Lukas

AU - Köhler, Johannes

AU - Müller, Matthias A.

AU - Allgöwer, Frank

N1 - Funding Information: This work was supported by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Grants GRK 2198/1 - 277536708, AL 316/12-2 and MU 3929/1-2 - 279734922. The authors thank the International Max Planck Research School for Intelligent Systems (IMPRS-IS) for supporting Lukas Schwenkel.

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N2 - In this paper, a novel tube-based economic Model Predictive Control (MPC) scheme for uncertain systems that uses neither terminal costs nor terminal constraints is investigated. We show that the results from the undisturbed case can be extended to systems with bounded disturbances by using similar turnpike arguments and a properly modified stage cost. We prove robust guarantees on the closed-loop performance, convergence, and stability under suitable dissipativity and controllability conditions and discuss them in a numerical example.

AB - In this paper, a novel tube-based economic Model Predictive Control (MPC) scheme for uncertain systems that uses neither terminal costs nor terminal constraints is investigated. We show that the results from the undisturbed case can be extended to systems with bounded disturbances by using similar turnpike arguments and a properly modified stage cost. We prove robust guarantees on the closed-loop performance, convergence, and stability under suitable dissipativity and controllability conditions and discuss them in a numerical example.

KW - Economic MPC

KW - Model predictive control

KW - Robust MPC

KW - Turnpike property

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DO - 10.1016/j.ifacol.2020.12.465

M3 - Conference article

VL - 53

SP - 7097

EP - 7104

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

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