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

Title data

Zanon, Mario ; Grüne, Lars:
Stabilization of strictly pre-dissipative receding horizon linear quadratic control by terminal costs.
Bayreuth ; Lucca , 2025 . - 13 p.
DOI: https://doi.org/10.48550/arXiv.2501.03691

Official URL:

Abstract in another language

Asymptotic stability in receding horizon control is obtained under a strict pre-dissipativity assumption, in the presence of suitable state constraints. In this paper we analyze how terminal constraints can be replaced by suitable terminal costs. We restrict to the linear-quadratic setting as that allows us to obtain stronger results, while we analyze the full nonlinear case in a separate contribution.

Further data

Item Type:	Preprint, postprint
Keywords:	Receding horizon control; model predictive control; dissipativity; 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 11:05
Last Modified:	13 Jan 2025 11:05
URI:	https://eref.uni-bayreuth.de/id/eprint/91544