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URN to cite this document: urn:nbn:de:bvb:703-epub-5660-2
Title data
Grüne, Lars:
Economic receding horizon control without terminal constraints.
Bayreuth
,
2012
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Abstract
We consider a receding horizon control scheme without terminal constraints in which the stage cost is defined by economic criteria, i.e., not necessarily linked to a stabilization or tracking problem. We analyze the performance of the resulting receding horizon controller with a particular focus on the case of optimal steady states for the corresponding averaged infinite horizon problem. Using a turnpike property and suitable controllability properties we prove near optimal performance of the controller and convergence of the closed loop solution to a neighborhood of the optimal steady state. Two examples illustrate our findings numerically and show how to verify the imposed assumptions.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Additional notes (visible to public): | erscheint in:
Automatica. Bd. 49 (2013) Heft 3 . - S. 725-734 |
| Keywords: | economic MPC; turnpike property; controllability |
| DDC Subjects: | 500 Science 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 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) |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-5660-2 |
| Date Deposited: | 01 Jun 2021 12:07 |
| Last Modified: | 07 Jun 2021 10:46 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/5660 |
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