Dynamic programming, optimal control and model predictive control

URN to cite this document: urn:nbn:de:bvb:703-epub-3398-1

Title data

Grüne, Lars:
Dynamic programming, optimal control and model predictive control.
Bayreuth , 2017 . - 24 S.
DOI der Verlagsversion: https://doi.org/10.1007/978-3-319-77489-3_2

Format:	PDF
Name:	DP_MPC.pdf
Version:	Preprint
Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Project financing:	Deutsche Forschungsgemeinschaft

Abstract

We give a survey of recent results on approximate optimality and stability of closed loop trajectories generated by model predictive control (MPC). Both stabilizing and economic MPC are considered and both schemes with and without terminal conditions are analyzed. A particular focus of the chapter is to highlight the role dynamic programming plays in this analysis. As we will see, dynamic programming arguments are ubiquitous in the analysis of MPC schemes.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen in: Raković, Saša V. ; Levine, William S. (Hrsg.): Handbook of Model Predictive Control. - Basel : Birkhäuser , 2018 . - S. 29-52 ISBN 978-3-319-77489-3 DOI: https://doi.org/10.1007/978-3-319-77489-3_2
Keywords:	model predictive control; dynamic programming; stability; near optimality; economic MPC
DDC Subjects:	500 Science > 510 Mathematics
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 Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS) Research Institutions Research Institutions > Research Centres
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3398-1
Date Deposited:	06 Oct 2017 06:39
Last Modified:	04 Jun 2021 10:32
URI:	https://epub.uni-bayreuth.de/id/eprint/3398

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