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 (2007) Issue 1 . - S. 4130007-4130008.
ISSN 1617-7061
DOI: https://doi.org/10.1002/pamm.200700203

Official URL:

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:	02 Sep 2022 09:33
URI:	https://eref.uni-bayreuth.de/id/eprint/63627