English

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

Optimization and Control 2025-01-08 v1 Systems and Control Systems and Control

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.

Keywords

Cite

@article{arxiv.2501.03691,
  title  = {Stabilization of Strictly Pre-Dissipative Receding Horizon Linear Quadratic Control by Terminal Costs},
  author = {Mario Zanon and Lars Grüne},
  journal= {arXiv preprint arXiv:2501.03691},
  year   = {2025}
}