切换系统的变时域模型预测控制

中文摘要 AI 辅助

本文研究了受控制与状态约束的切换系统的模型预测控制（MPC）。提出了一种变时域切换MPC方法。通过将系统状态引导至精心设计的切换可行集内，所提方法在结构上将驻留时间条件与MPC约束解耦，从而将驻留时间要求放宽至与无约束切换系统一致。此外，开发了用于构造该切换可行集并刻画吸引域的算法，确保了持续可行性与闭环渐近稳定性。为进一步将预测时域长度与严格的驻留时间界限解耦，设计了先进的短时域切换MPC方案，扩大了整体吸引域。仿真验证了所提方法的有效性。

英文摘要

This paper investigates model predictive control (MPC) for switched systems subject to control and state constraints. A variable-horizon switched MPC approach is proposed. By steering the system state into a well-designed switching feasible set, the proposed method structurally decouples the dwell-time conditions from the MPC constraints, thereby relaxing the dwell-time requirements to match those of the unconstrained switched systems. Furthermore, algorithms are developed to construct this switching feasible set and characterize the domain of attraction, ensuring both persistent feasibility and closed-loop asymptotic stability. To further decouple the prediction horizon length from strict dwell-time bounds, advanced short-horizon switched MPC schemes are designed, which expand the overall domain of attraction. Simulations illustrate the efficacy of the proposed methods.

发表机构

• City University of Hong Kong（香港城市大学）
• Tianjin University（天津大学）
• University of Victoria（维多利亚大学）

机构由 AI 辅助整理，请以论文原文为准。