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

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Zanon, Mario ; Grüne, Lars:
Stabilization of strictly pre-dissipative receding horizon linear quadratic control by terminal costs.
In: Automatica. Bd. 187 (2026) . - 112871.
ISSN 1873-2836
DOI: https://doi.org/10.1016/j.automatica.2026.112871

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Abstract

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.