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Transient Performance of MPC for Tracking

Title data

Köhler, Matthias ; Krügel, Lisa ; Grüne, Lars ; Müller, Matthias A. ; Allgöwer, Frank:
Transient Performance of MPC for Tracking.
Stuttgart , 2023
DOI: https://doi.org/10.48550/arXiv.2303.10006

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Official URL: Volltext

Project information

Project title:
Project's official title
Project's id
Performance Analysis for Distributed and Multiobjective Model Predictive Control
No information
AL 316/11-2 - 244600449; GR 1569/13-2 - 244602989
No information

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type: Preprint, postprint
Refereed: Yes
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions
Research Institutions > Central research institutes
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 22 Mar 2023 08:47
Last Modified: 24 Apr 2023 08:56
URI: https://eref.uni-bayreuth.de/id/eprint/74346

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