Frequency Domain Identification of Multirate Systems: A Lifted Local Polynomial Modeling Approach

Max van Haren; Lennart Blanken; Tom Oomen

doi:10.1109/CDC51059.2022.9992919

Frequency Domain Identification of Multirate Systems: A Lifted Local Polynomial Modeling Approach

Max van Haren
, Lennart Blanken
, Tom Oomen

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

4 Citations (Scopus)

281 Downloads (Pure)

Abstract

Frequency-domain representations of multirate systems are essential for controller design and performance evaluation of multirate systems and sampled-data control. The aim of this paper is to develop a time-efficient closed-loop identification approach for multirate systems in the frequency-domain. The developed method utilizes local polynomial modeling for lifted representations of LPTV systems, which enables direct identification of closed-loop multirate systems in a single identification experiment. Unlike LTI identification techniques, the developed method does not suffer from bias due to ignored LPTV dynamics. The developed approach is demonstrated on a multirate example, resulting in accurate and fast identification in the frequency domain.

Original language	English
Title of host publication	61st IEEE Conference on Decision and Control 2022
Publisher	Institute of Electrical and Electronics Engineers
Pages	2795-2800
Number of pages	6
ISBN (Electronic)	978-1-6654-6761-2
DOIs	https://doi.org/10.1109/CDC51059.2022.9992919
Publication status	Published - 10 Jan 2023
Event	61st IEEE Conference on Decision and Control, CDC 2022 - The Marriott Cancún Collection, Cancun, Mexico Duration: 6 Dec 2022 → 9 Dec 2022 Conference number: 61 https://cdc2022.ieeecss.org/

Conference

Conference	61st IEEE Conference on Decision and Control, CDC 2022
Abbreviated title	CDC 2022
Country/Territory	Mexico
City	Cancun
Period	6/12/22 → 9/12/22
Internet address	https://cdc2022.ieeecss.org/

Keywords

Mechatronics
Multirate
Sampled-data system
System identification
Local Polynomial Method
Lifting

Access to Document

10.1109/CDC51059.2022.9992919

FinalVersionPureFinal author version , 637 KBLicence: CC BY-NC-ND

Cite this

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title = "Frequency Domain Identification of Multirate Systems: A Lifted Local Polynomial Modeling Approach",

abstract = "Frequency-domain representations of multirate systems are essential for controller design and performance evaluation of multirate systems and sampled-data control. The aim of this paper is to develop a time-efficient closed-loop identification approach for multirate systems in the frequency-domain. The developed method utilizes local polynomial modeling for lifted representations of LPTV systems, which enables direct identification of closed-loop multirate systems in a single identification experiment. Unlike LTI identification techniques, the developed method does not suffer from bias due to ignored LPTV dynamics. The developed approach is demonstrated on a multirate example, resulting in accurate and fast identification in the frequency domain.",

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van Haren, M, Blanken, L & Oomen, T 2023, Frequency Domain Identification of Multirate Systems: A Lifted Local Polynomial Modeling Approach. in 61st IEEE Conference on Decision and Control 2022., 9992919, Institute of Electrical and Electronics Engineers, pp. 2795-2800, 61st IEEE Conference on Decision and Control, CDC 2022, Cancun, Mexico, 6/12/22. https://doi.org/10.1109/CDC51059.2022.9992919

Frequency Domain Identification of Multirate Systems: A Lifted Local Polynomial Modeling Approach. / van Haren, Max; Blanken, Lennart ; Oomen, Tom.
61st IEEE Conference on Decision and Control 2022. Institute of Electrical and Electronics Engineers, 2023. p. 2795-2800 9992919.

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

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AU - van Haren, Max

AU - Blanken, Lennart

AU - Oomen, Tom

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PY - 2023/1/10

Y1 - 2023/1/10

N2 - Frequency-domain representations of multirate systems are essential for controller design and performance evaluation of multirate systems and sampled-data control. The aim of this paper is to develop a time-efficient closed-loop identification approach for multirate systems in the frequency-domain. The developed method utilizes local polynomial modeling for lifted representations of LPTV systems, which enables direct identification of closed-loop multirate systems in a single identification experiment. Unlike LTI identification techniques, the developed method does not suffer from bias due to ignored LPTV dynamics. The developed approach is demonstrated on a multirate example, resulting in accurate and fast identification in the frequency domain.

AB - Frequency-domain representations of multirate systems are essential for controller design and performance evaluation of multirate systems and sampled-data control. The aim of this paper is to develop a time-efficient closed-loop identification approach for multirate systems in the frequency-domain. The developed method utilizes local polynomial modeling for lifted representations of LPTV systems, which enables direct identification of closed-loop multirate systems in a single identification experiment. Unlike LTI identification techniques, the developed method does not suffer from bias due to ignored LPTV dynamics. The developed approach is demonstrated on a multirate example, resulting in accurate and fast identification in the frequency domain.

KW - cs.SY

KW - eess.SY

KW - Mechatronics

KW - Multirate

KW - Sampled-data system

KW - System identification

KW - Local Polynomial Method

KW - Lifting

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DO - 10.1109/CDC51059.2022.9992919

M3 - Conference contribution

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EP - 2800

BT - 61st IEEE Conference on Decision and Control 2022

PB - Institute of Electrical and Electronics Engineers

Y2 - 6 December 2022 through 9 December 2022

ER -

Frequency Domain Identification of Multirate Systems: A Lifted Local Polynomial Modeling Approach

Abstract

Conference

Keywords

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