Data-driven control of nonlinear systems from input-output data

Fuente: arXiv
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Main Authors: Dai, Xiaoyan, De Persis, Claudio, Monshizadeh, Nima, Tesi, Pietro
Format: Preprint
Published: 2023
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author Dai, Xiaoyan
De Persis, Claudio
Monshizadeh, Nima
Tesi, Pietro
author_facet Dai, Xiaoyan
De Persis, Claudio
Monshizadeh, Nima
Tesi, Pietro
contents The design of controllers from data for nonlinear systems is a challenging problem. In a recent paper, De Persis, Rotulo and Tesi, "Learning controllers from data via approximate nonlinearity cancellation," IEEE Transactions on Automatic Control, 2023, a method to learn controllers that make the closed-loop system stable and dominantly linear was proposed. The approach leads to a simple solution based on data-dependent semidefinite programs. The method uses input-state measurements as data, while in a realistic setup it is more likely that only input-output measurements are available. In this note we report how the design principle of the above mentioned paper can be adjusted to deal with input-output data and obtain dynamic output feedback controllers in a favourable setting.
format Preprint
id arxiv_https___arxiv_org_abs_2309_09208
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Data-driven control of nonlinear systems from input-output data
Dai, Xiaoyan
De Persis, Claudio
Monshizadeh, Nima
Tesi, Pietro
Systems and Control
Optimization and Control
The design of controllers from data for nonlinear systems is a challenging problem. In a recent paper, De Persis, Rotulo and Tesi, "Learning controllers from data via approximate nonlinearity cancellation," IEEE Transactions on Automatic Control, 2023, a method to learn controllers that make the closed-loop system stable and dominantly linear was proposed. The approach leads to a simple solution based on data-dependent semidefinite programs. The method uses input-state measurements as data, while in a realistic setup it is more likely that only input-output measurements are available. In this note we report how the design principle of the above mentioned paper can be adjusted to deal with input-output data and obtain dynamic output feedback controllers in a favourable setting.
title Data-driven control of nonlinear systems from input-output data
topic Systems and Control
Optimization and Control
url https://arxiv.org/abs/2309.09208