Region-Free Explicit Model-Predictive Control for Linear Systems on Hilbert Spaces

• 成果类型: Article
• 署名作者: Kurula, Mikael; Humaloja, Jukka-Pekka; Dubljevic, Stevan
• 署名单位: Abo Akademi University; Technical University of Crete; University of Alberta
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3430416
• 发表日期: 2025
• 页码: 518-525
• 关键词: Optimal control; optimization; COSTS; Predictive control; Linear systems; Space exploration; Hilbert space; Distributed parameter systems; optimal control; predictive control for linear systems

摘要

In this article, we extend discrete-time explicit model-predictive control (MPC) rigorously to linear distributed parameter systems. After formulating an MPC framework and giving a relevant Karush-Kuhn-Tucker theorem, we realize fast regionless explicit MPC by using the dual-active-set method QPKWIK. A Timoshenko beam with input and state constraints is used to demonstrate the efficacy of the design at controlling a continuous-time hyperbolic partial differential equation with constraints, using a discrete-time explicit MPC controller.