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

Mario Zanon; Lars Grüne

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arXiv · 2501.03691

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

Mario Zanon·Lars Grüne

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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.

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BibTeX RIS

Mario Zanon, Lars Grüne. 2025-01-07. Stabilization of Strictly Pre-Dissipative Receding Horizon Linear Quadratic Control by Terminal Costs. https://arxiv.org/abs/2501.03691

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