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Performance of NMPC Schemes without Stabilizing Terminal Constraints

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005603
URN to cite this document: urn:nbn:de:bvb:703-epub-5603-6

Title data

Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl:
Performance of NMPC Schemes without Stabilizing Terminal Constraints.
Bayreuth , 2010

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Abstract

In this paper we investigate the performance of unconstrained nonlinear model predictive control (NMPC) schemes, i.e., schemes in which no additional terminal constraints or terminal costs are added to the finite horizon problem in order to enforce stability properties. The contribution of this paper is twofold: on the one hand in Section 3 we give a concise summary of recent results from [Grüne and Rantzer 2008, Grüne 2009, Grüne et al. 2009] in a simplified setting, restricting the reasoning to the special case of exponential controllability and classical NMPC feedback laws. On the other hand, in Section 4 we present a numerical case study for a control system governed by a semilinear parabolic PDE. This case study illustrates how our theoretical results can be used in order to explain the differences in the performance of NMPC schemes for distributed and boundary control.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erscheint in:
Diehl, Moritz ; Glineur, Francois ; Jarlebring, Elias ; Michiels, Wim (Hrsg.): Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer , 2010 . - S. 289-298
DOI: https://doi.org/10.1007/978-3-642-12598-0_25
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-5603-6
Date Deposited: 25 May 2021 13:04
Last Modified: 09 Jun 2021 07:44
URI: https://epub.uni-bayreuth.de/id/eprint/5603

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