Necessary and Sufficient Conditions for Data-Driven Model Reference Control

• 成果类型: Article
• 署名作者: Wang, Jiwei; Baldi, Simone; van Waarde, Henk J.
• 署名单位: Southeast University - China; University of Groningen; Southeast University - China
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3490669
• 发表日期: 2025
• 页码: 2659-2666
• 关键词: data models; Linear matrix inequalities; Noise measurement; Symmetric matrices; stability analysis; Closed loop systems; vectors; Numerical stability; CONVERGENCE; computer science; Data informativity; Data-driven control; model reference control (MRC); quadratic matrix inequalities

摘要

The objective of model reference control is to design a controller that regulates the system's behavior so as to match a specified reference model. This article investigates necessary and sufficient conditions for model reference control from a data-driven perspective, when only a set of data generated by the system is utilized to directly accomplish the matching. Noiseless and noisy data settings are both considered. Notably, all methods we propose build on the concept of data informativity and do not rely on persistently exciting data.