in the repository
Title data
Grüne, Lars ; Stieler, Marleen:
Multiobjective Model Predictive Control for Stabilizing Cost Criteria.
Bayreuth
,
2018
. - 23 S.
![[thumbnail of GrueneStieler_submitted.pdf]](https://epub.uni-bayreuth.de/style/images/fileicons/application_pdf.png)
Project information
| Project title: |
Project's official title Project's id DFG-Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control" GR 1569/13-1 |
|---|---|
| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract
In this paper we demonstrate how multiobjective optimal control problems can be solved by means of model predictive control. For our analysis we restrict ourselves to finite-dimensional control systems in discrete time. We show that convergence of the MPC closed-loop trajectory as well as upper bounds on the closed-loop performance for all objectives can be established if the ‘right’ Pareto-optimal control sequence is chosen in the iterations. It turns out that approximating the whole Pareto front is not necessary for that choice. Moreover, we provide statements on the relation of the MPC performance to the values of Pareto-optimal solutions on the infinite horizon, i.e. we investigate on the inifinite-horizon optimality of our MPC controller.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Additional notes (visible to public): | erschienen in:
Discrete and Continuous Dynamical Systems. Series B. Bd. 24 (2019) Heft 8 . - S. 3905-3928. DOI: https://doi.org/10.3934/dcdsb.2018336 |
| Keywords: | Model Predictive Control; Cooperative Control; Feedback Synthesis; Nonlinear Systems; Multiobjective Optimization |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Institutions of the University: | 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 > Advanced Fields > Nonlinear Dynamics Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS) 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) Profile Fields Profile Fields > Advanced Fields Research Institutions Research Institutions > Research Centres |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-3668-5 |
| Date Deposited: | 18 Apr 2018 05:33 |
| Last Modified: | 14 May 2021 10:17 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/3668 |
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