数据驱动代数调节器问题的信息量方法
An informativity approach to the data-driven algebraic regulator problem
摘要：
在本文中，经典的代数调节器的问题进行了研究，在数据驱动的背景下。假设内系统是一个未知的系统，它与一个已知的外系统相互连接，产生干扰和参考信号。问题是设计一个调节器，使得（未知）内系统的输出跟踪参考信号，而不管其初态和输入干扰。为了做到这一点，我们假设我们在有限的时间间隔上有一组输入状态数据。我们引入了数据信息的概念，调节器的设计，并建立充要条件为一组给定的数据是信息。并根据实验数据给出了合适的调节剂的计算公式。我们的结果说明了通过两个扩展的例子。
英文摘要：
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.
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