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.
Bayreuth ; Lucca , 2025 . - 13 S.
DOI: https://doi.org/10.48550/arXiv.2501.03691

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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.