Robust Economic Model Predictive Control without Terminal Conditions

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  • University of Stuttgart
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Original languageEnglish
Pages (from-to)7097-7104
Number of pages8
JournalIFAC-PapersOnLine
Volume53
Issue number2
Publication statusPublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 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.

Keywords

    Economic MPC, Model predictive control, Robust MPC, Turnpike property

ASJC Scopus subject areas

Cite this

Robust Economic Model Predictive Control without Terminal Conditions. / Schwenkel, Lukas; Köhler, Johannes; Müller, Matthias A. et al.
In: IFAC-PapersOnLine, Vol. 53, No. 2, 2020, p. 7097-7104.

Research output: Contribution to journalConference articleResearchpeer review

Schwenkel, L, Köhler, J, Müller, MA & Allgöwer, F 2020, 'Robust Economic Model Predictive Control without Terminal Conditions', IFAC-PapersOnLine, vol. 53, no. 2, pp. 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 ; Vol. 53, No. 2. pp. 7097-7104.
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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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KW - Economic MPC

KW - Model predictive control

KW - Robust MPC

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