arrow
Return

An Informativity Approach to the Data-Driven Algebraic Regulator Problem

delete2022-11-01
delete18
delete
OA
AI
H
Harry L. Trentelman *
H
Henk J. van Waarde
M
M. Kanat Camlibel
DOI:10.1109/TAC.2021.3129457delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
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.
Keywords:
Regulators
Mathematical models
Control systems
Data models
State feedback
Regulation
Tuning
Data-driven control
informativity
linear control systems
tracking and regulation

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

U
University of Groningen
Scholars:
4.4W
Papers: 4.3W
Citations: 5.9W