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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.

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Project information

Project title:
Project's official titleProject's id
DFG-GrantGR 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
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 (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: 28 Mar 2019 09:17
URI: https://epub.uni-bayreuth.de/id/eprint/3805

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