Evaluation of set-membership approaches for data-driven tuning of two-degree-of-freedom controllers

F. Valderrama; F. Ruiz; D. Patino

doi:10.23919/acc.2019.8814372

Evaluation of set-membership approaches for data-driven tuning of two-degree-of-freedom controllers

F. Valderrama, F. Ruiz, D. Patino

Department of Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

Set-Membership theory offers solutions to the data-driven controller tuning problem that do not rely on stochastic models of noises and disturbances. In this paper, two approaches are evaluated for the design of Two-Degree-of-Freedom (2DoF) controllers. They are based on Errors-in-Variables and Output-Error formulations, assuming unknown but bounded noise sequences. First, it is derived a setting to estimate from data controllers capable of approaching a given closed-loop reference model and a sensitivity transfer function. Then, the controller estimation problems are transformed in equivalent Set-Membership Errors-in-Variables and Output-Error identification setups. Finally, both approaches are evaluated on a numerical example and it is observed that a similar performance is obtained by the two methods, while the Output-Error setting is more than one hundred times faster.

Original language	English
Title of host publication	2019 American Control Conference, ACC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5668-5673
Number of pages	6
ISBN (Electronic)	9781538679265
DOIs	https://doi.org/10.23919/acc.2019.8814372
State	Published - Jul 2019
Event	2019 American Control Conference, ACC 2019 - Philadelphia, United States Duration: 10 Jul 2019 → 12 Jul 2019

Publication series

Name	Proceedings of the American Control Conference
Volume	2019-July
ISSN (Print)	0743-1619

Conference

Conference	2019 American Control Conference, ACC 2019
Country/Territory	United States
City	Philadelphia
Period	10/07/19 → 12/07/19

Keywords

Data-driven controller tuning
Errors in variables
Set-membership Identification
Two-degree-offreedom control

Access to Document

10.23919/acc.2019.8814372

Cite this

Valderrama, F., Ruiz, F., & Patino, D. (2019). Evaluation of set-membership approaches for data-driven tuning of two-degree-of-freedom controllers. In 2019 American Control Conference, ACC 2019 (pp. 5668-5673). Article 8814372 (Proceedings of the American Control Conference; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/acc.2019.8814372

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abstract = "Set-Membership theory offers solutions to the data-driven controller tuning problem that do not rely on stochastic models of noises and disturbances. In this paper, two approaches are evaluated for the design of Two-Degree-of-Freedom (2DoF) controllers. They are based on Errors-in-Variables and Output-Error formulations, assuming unknown but bounded noise sequences. First, it is derived a setting to estimate from data controllers capable of approaching a given closed-loop reference model and a sensitivity transfer function. Then, the controller estimation problems are transformed in equivalent Set-Membership Errors-in-Variables and Output-Error identification setups. Finally, both approaches are evaluated on a numerical example and it is observed that a similar performance is obtained by the two methods, while the Output-Error setting is more than one hundred times faster.",

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Valderrama, F, Ruiz, F & Patino, D 2019, Evaluation of set-membership approaches for data-driven tuning of two-degree-of-freedom controllers. in 2019 American Control Conference, ACC 2019., 8814372, Proceedings of the American Control Conference, vol. 2019-July, Institute of Electrical and Electronics Engineers Inc., pp. 5668-5673, 2019 American Control Conference, ACC 2019, Philadelphia, United States, 10/07/19. https://doi.org/10.23919/acc.2019.8814372

Evaluation of set-membership approaches for data-driven tuning of two-degree-of-freedom controllers. / Valderrama, F.; Ruiz, F.; Patino, D.
2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 5668-5673 8814372 (Proceedings of the American Control Conference; Vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Evaluation of set-membership approaches for data-driven tuning of two-degree-of-freedom controllers

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