论文标题
针对数据驱动的代数调节器问题的信息方法
An informativity approach to the data-driven algebraic regulator problem
论文作者
论文摘要
在本文中，在数据驱动的环境中研究了经典的代数调节器问题。内部系统被认为是一个未知系统，该系统与生成干扰和参考信号的已知外部系统互连。问题是要设计一个调节器，以便（未知）内膜系统的输出跟踪参考信号，而不管其初始状态和传入的干扰如何。为了做到这一点，我们假设我们在有限的时间间隙上有一组输入状态数据。我们介绍了调节器设计的数据信息的概念，并为给定的一组数据提供了必要的条件。同样，根据数据给出了适合调节器的公式。我们的结果通过两个扩展示例来说明。
In this paper, 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.
