An Informativity Approach to the Data-Driven Algebraic Regulator Problem

• 成果类型: Article
• 署名作者: Trentelman, Harry L.; van Waarde, Henk J.; Camlibel, M. Kanat
• 署名单位: University of Groningen
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3129457
• 发表日期: 2022
• 页码: 6227-6233
• 关键词: Regulators; mathematical models; control systems; data models; State feedback; regulation; Tuning; Data-driven control; informativity; linear control systems; tracking and regulation

摘要

In this article, the classical algebraic regulator problem is studied in a data-driven context. The endosystem is assumed to be an unknown system that is interconnected to a known exosystem that generates disturbances and reference signals. The problem is to design a regulator so that the output of the (unknown) endosystem tracks the reference signal, regardless of its initial state and the incoming disturbances. In order to do this, we assume that we have a set of input-state data on a finite time-interval. We introduce the notion of data informativity for regulator design, and establish necessary and sufficient conditions for a given set of data to be informative. Also, formulas for suitable regulators are given in terms of the data. Our results are illustrated by means of two extended examples.