Stabilization of strictly pre-dissipative nonlinear receding horizon control by terminal costs

Title data

Grüne, Lars ; Zanon, Mario:
Stabilization of strictly pre-dissipative nonlinear receding horizon control by terminal costs.
Bayreuth ; Lucca , 2025 . - 7 p.
DOI: https://doi.org/10.48550/arXiv.2412.13538

Official URL:

Abstract in another language

It is known that receding horizon control with a strictly pre-dissipative optimal control problem yields a practically asymptotically stable closed loop when suitable state constraints are imposed. In this note we show that alternatively suitably bounded terminal costs can be used for stabilizing the closed loop.

Further data

Item Type:	Preprint, postprint
Keywords:	Receding horizon control; model predictive control; dissipativity; practical asymptotic stability
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 > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics 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 Profile Fields > Advanced Fields
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	13 Jan 2025 09:19
Last Modified:	13 Jan 2025 09:19
URI:	https://eref.uni-bayreuth.de/id/eprint/91543