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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_00005618
URN to cite this document: urn:nbn:de:bvb:703-epub-5618-9

Title data

Grüne, Lars ; Pannek, Jürgen ; Seehafer, Martin ; Worthmann, Karl:
Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon.
Bayreuth , 2010

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Abstract

For discrete time nonlinear systems satisfying an exponential or finite time controllability assumption, we present an analytical formula for a suboptimality estimate for model predictive control schemes without stabilizing terminal constraints. Based on our formula, we perform a detailed analysis of the impact of the optimization horizon and the possibly time varying control horizon on stability and performance of the closed loop.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erscheint in:
SIAM Journal on Control and Optimization. Bd. 48 (2010) Heft 8 . - S. 4938-4962
DOI: https://doi.org/10.1137/090758696
Keywords: nonlinear model predictive control; suboptimality; stability; controllability; networked control systems
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-5618-9
Date Deposited: 26 May 2021 11:23
Last Modified: 08 Jun 2021 08:22
URI: https://epub.uni-bayreuth.de/id/eprint/5618