An informativity approach to the data-driven algebraic regulator problem

Harry L. Trentelman*, Henk van Waarde, Kanat Camlibel

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

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.
Original languageEnglish
Number of pages7
JournalIEEE-Transactions on Automatic Control
DOIs
Publication statusE-pub ahead of print - 19-Nov-2021

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