From Noisy Data to Feedback Controllers: Nonconservative Design via a Matrix S-Lemma

In this article, we propose a new method to obtain feedback controllers of an unknown dynamical system directly from noisy input/state data. The key ingredient of our design is a new matrix S-lemma that will be proven in this article. We provide both strict and nonstrict versions of this S-lemma, wh...

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Bibliographic Details

Published in:	IEEE transactions on automatic control Vol. 67; no. 1; pp. 162 - 175
Main Authors:	van Waarde, Henk J., Camlibel, M. Kanat, Mesbahi, Mehran
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.01.2022 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Control design Control systems Covariance matrices Data-driven control Feedback control Independent variables Linear matrix inequalities LMIs Mathematical analysis Noise measurement Optimal control Predictive control robust control Tuning uncertain systems
ISSN:	0018-9286, 1558-2523
Online Access:	Get full text
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