Towards data-driven LPV controller synthesis based on frequency response functions

Tom Bloemers; Roland Tóth; Tom Oomen

doi:10.1109/CDC40024.2019.9029958

Towards data-driven LPV controller synthesis based on frequency response functions

Tom Bloemers, Roland Tóth, Tom Oomen

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

5 Citations (Scopus)

104 Downloads (Pure)

Abstract

Synthesizing Linear Time-Invariant (LTI) controllers directly from Frequency Response Function (FRF) measurements is at the core of many successful industrial applications. However, increasing performance expectations necessitate extending these approaches for multiple operating points, viewing the plant as a Linear Parameter-Varying system. The aim of this paper is to develop FRF data based controller synthesis to a larger class of systems by leveraging on recent developments in LPV system theory. The developed method is based on a global LPV controller parametrization with a finite impulse response structure which ensures local stability and performance of the closed-loop behavior by design. A case study confirms that the developed control design procedure, using only measurement data, can be effectively used to design LPV controllers resulting in stability and high performance of the closed-loop system on the specified region of operating conditions in comparison to LTI controllers.

Original language	English
Title of host publication	IEEE 58th Conference on Decision and Control
Publisher	Institute of Electrical and Electronics Engineers
Pages	5680-5685
Number of pages	6
ISBN (Electronic)	978-1-7281-1398-2, 978-1-7281-1397-5
DOIs	https://doi.org/10.1109/CDC40024.2019.9029958
Publication status	Published - Dec 2019
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France, Nice, France Duration: 11 Dec 2019 → 13 Dec 2019 Conference number: 58 https://cdc2019.ieeecss.org/

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2019-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Abbreviated title	CDC 2019
Country/Territory	France
City	Nice
Period	11/12/19 → 13/12/19
Internet address	https://cdc2019.ieeecss.org/

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10.1109/CDC40024.2019.9029958

Author_versionFinal author version , 1.46 MBLicence: CC BY-NC-ND

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Bloemers, T., Tóth, R., & Oomen, T. (2019). Towards data-driven LPV controller synthesis based on frequency response functions. In IEEE 58th Conference on Decision and Control (pp. 5680-5685). [9029958] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC40024.2019.9029958

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title = "Towards data-driven LPV controller synthesis based on frequency response functions",

abstract = "Synthesizing Linear Time-Invariant (LTI) controllers directly from Frequency Response Function (FRF) measurements is at the core of many successful industrial applications. However, increasing performance expectations necessitate extending these approaches for multiple operating points, viewing the plant as a Linear Parameter-Varying system. The aim of this paper is to develop FRF data based controller synthesis to a larger class of systems by leveraging on recent developments in LPV system theory. The developed method is based on a global LPV controller parametrization with a finite impulse response structure which ensures local stability and performance of the closed-loop behavior by design. A case study confirms that the developed control design procedure, using only measurement data, can be effectively used to design LPV controllers resulting in stability and high performance of the closed-loop system on the specified region of operating conditions in comparison to LTI controllers.",

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note = "58th IEEE Conference on Decision and Control, CDC 2019, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

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Bloemers, T , Tóth, R & Oomen, T 2019, Towards data-driven LPV controller synthesis based on frequency response functions. in IEEE 58th Conference on Decision and Control., 9029958, Proceedings of the IEEE Conference on Decision and Control, vol. 2019-December, Institute of Electrical and Electronics Engineers, pp. 5680-5685, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9029958

Towards data-driven LPV controller synthesis based on frequency response functions. / Bloemers, Tom ; Tóth, Roland ; Oomen, Tom.
IEEE 58th Conference on Decision and Control. Institute of Electrical and Electronics Engineers, 2019. p. 5680-5685 9029958 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December).

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

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Towards data-driven LPV controller synthesis based on frequency response functions

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