Stabilization of Strictly Pre-Dissipative Receding Horizon Linear Quadratic Control by Terminal Costs

Fuente: arXiv
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Auteurs principaux: Zanon, Mario, Grüne, Lars
Format: Preprint
Publié: 2025
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author Zanon, Mario
Grüne, Lars
author_facet Zanon, Mario
Grüne, Lars
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_03691
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stabilization of Strictly Pre-Dissipative Receding Horizon Linear Quadratic Control by Terminal Costs
Zanon, Mario
Grüne, Lars
Optimization and Control
Systems and Control
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.
title Stabilization of Strictly Pre-Dissipative Receding Horizon Linear Quadratic Control by Terminal Costs
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2501.03691