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Analysis of unconstrained nonlinear MPC schemes with time varying control horizon

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005653
URN to cite this document: urn:nbn:de:bvb:703-epub-5653-3

Title data

Grüne, Lars ; Pannek, Jürgen ; Seehafer, Martin ; Worthmann, Karl:
Analysis of unconstrained nonlinear MPC schemes with time varying control horizon.
Bayreuth , 2012

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Abstract

For nonlinear discrete time systems satisfying a controllability condition, we present a stability condition for model predictive control without stabilizing terminal constraints or costs. The condition is given in terms of an analytical formula which can be employed in order to determine a prediction horizon length for which asymptotic stability or a performance guarantee is ensured. Based on this formula a sensitivity analysis with respect to the prediction and the possibly time varying control horizon is carried out.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erscheint in:
51st IEEE Conference on Decision and Control : Final Program and Book of Abstracts. - Piscataway, NJ : IEEE , 2012 . - S. 2605-2610
Keywords: Nonlinear Model Predictive Control; Stability of Nonlinear Systems; Lyapunov Methods
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
Profile Fields > Advanced Fields
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
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5653-3
Date Deposited: 31 May 2021 13:07
Last Modified: 07 Jun 2021 10:29
URI: https://epub.uni-bayreuth.de/id/eprint/5653