Titelangaben
Köhler, Matthias ; Krügel, Lisa ; Grüne, Lars ; Müller, Matthias A. ; Allgöwer, Frank:
Transient Performance of MPC for Tracking.
In: IEEE Control Systems Letters.
Bd. 7
(2023)
.
- S. 2545-2550.
ISSN 2475-1456
DOI: https://doi.org/10.1109/LCSYS.2023.3287798
Dies ist die aktuelle Version des Eintrags.
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Projekttitel: |
Offizieller Projekttitel Projekt-ID Analyse der Regelgüte für verteilte und multikriterielle Modellprädiktive Regelung — Die Rolle von Paretofronten, multikriterieller Dissipativität und mehrfachen Gleichgewichten 244602989 Verteilte Dissipativität und Graphentheorie für die verteilte ökonomische prädiktive Regelung 244600449 |
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Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
Abstract
We analyse the closed-loop performance of a model predictive control (MPC) for tracking formulation with artificial references. It has been shown that such a scheme guarantees closed-loop stability and recursive feasibility for any reference, even if it is unreachable or time-varying. The basic idea is to consider an artificial reference as an additional deci- sion variable and to formulate generalised terminal ingredients with respect to it. In addition, its offset is penalised in the MPC optimisation problem, leading to closed-loop convergence to the best reachable reference. In this paper, we provide a transient performance bound on the closed loop using MPC for tracking. We employ mild assumptions on the offset cost and scale it with the prediction horizon. In this case, an increasing horizon in MPC for tracking recovers the infinite horizon optimal solution.
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Transient Performance of MPC for Tracking. (deposited 22 Mär 2023 08:47)
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Transient Performance of MPC for Tracking. (deposited 24 Apr 2023 11:19)
- Transient Performance of MPC for Tracking. (deposited 29 Jun 2023 08:37) [Aktuelle Anzeige]
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Transient Performance of MPC for Tracking. (deposited 24 Apr 2023 11:19)