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Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon

Title data

Grüne, Lars ; Pannek, Jürgen ; Seehafer, Martin ; Worthmann, Karl:
Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon.
In: SIAM Journal on Control and Optimization. Vol. 48 (2010) Issue 8 . - pp. 4938-4962.
ISSN 1095-7138
DOI: https://doi.org/10.1137/090758696

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Abstract in another language

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: Article in a journal
Refereed: Yes
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)
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 02 Mar 2021 14:02
Last Modified: 26 May 2021 11:23
URI: https://eref.uni-bayreuth.de/id/eprint/63609