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Computing minimal optimization horizons for stabilizing unconstrained MPC schemes

Title data

Grüne, Lars:
Computing minimal optimization horizons for stabilizing unconstrained MPC schemes.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 7 (December 2007) Issue 1 . - S. 4130007-4130008.
ISSN 1617-7061
DOI: https://doi.org/10.1002/pamm.200700203

Official URL: Volltext

Abstract in another language

We present a method for the computation of minimal stabilizing optimization horizons in MPC schemes without stabilizing terminal constraints. The method applies to general nonlinear control systems satisfying a controllability assumption. Key idea is the formulation of a small linear program whose solution determines the minimal horizon.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Date Deposited: 03 Mar 2021 11:08
Last Modified: 23 Mar 2021 09:12
URI: https://eref.uni-bayreuth.de/id/eprint/63627