Economic Model Predictive Control for Time-Varying System: Performance and Stability Results

URN to cite this document: urn:nbn:de:bvb:703-epub-3805-7

Title data

Grüne, Lars ; Pirkelmann, Simon:
Economic Model Predictive Control for Time-Varying System: Performance and Stability Results.
Bayreuth , 2018 . - 21 S.

	Format: PDF Name: preprint.pdf Version: Preprint Available under License Creative Commons BY 4.0: Attribution
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Project information

Project title:	Project's official title Project's id DFG-Grant GR 1569/16-1
Project financing:	Deutsche Forschungsgemeinschaft

Abstract

We consider economic model predictive control (MPC) without terminal conditions for time-varying optimal control problems. Under appropriate conditions we prove that MPC yields initial pieces of approximately infinite horizon optimal trajectories, and that the optimal infinite horizon trajectory is practically asymptotically stable. The results are illustrated by two numerical examples, both motivated by energy efficient heating and cooling of a building.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen in: Optimal Control Applications and Methods. Bd. 41 (2019) Heft 1 . - S. 42-64. DOI: https://doi.org/10.1002/oca.2492
Keywords:	economic model predictive control; time-varying systems; asymptotic stability; turnpike property; dissipativity
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 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
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3805-7
Date Deposited:	31 Jul 2018 07:20
Last Modified:	14 May 2021 06:22
URI:	https://epub.uni-bayreuth.de/id/eprint/3805

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