System Identification Beyond the Nyquist Frequency:A Kernel-Regularized Approach

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Titel: System Identification Beyond the Nyquist Frequency:A Kernel-Regularized Approach
Autoren: van Haren, Max, Smith, Roy S., Oomen, Tom A.E.
Quelle: van Haren, M, Smith, R S & Oomen, T A E 2025, 'System Identification Beyond the Nyquist Frequency : A Kernel-Regularized Approach', Control Engineering Practice, vol. 164, 106425. https://doi.org/10.1016/j.conengprac.2025.106425
Publikationsjahr: 2025
Schlagwörter: system identification, Kernel-regularized estimation, multirate, sampled-data systems, frequency response function (FRF), Frequency response functions
Beschreibung: Models that contain intersample behavior are important for control design of systems with slow-rate outputs. The aim of this paper is to develop a system identification technique for fast-rate models of systems where only slow-rate output measurements are available, e.g., vision-in-the-loop systems. In this paper, the intersample response is estimated by identifying fast-rate models through least-squares criteria, and the limitations of these models are determined. In addition, a method is developed that surpasses these limitations and is capable of estimating unique fast-rate models of arbitrary order by regularizing the least-squares estimate. The developed method utilizes fast-rate inputs and slow-rate output measurements and identifies fast-rate models accurately in a single identification experiment. Finally, both simulation and experimental validation on a prototype wafer stage demonstrate the effectiveness of the framework.
Publikationsart: article in journal/newspaper
Dateibeschreibung: application/pdf
Sprache: English
Relation: info:eu-repo/semantics/altIdentifier/pissn/0967-0661
DOI: 10.1016/j.conengprac.2025.106425
Verfügbarkeit: https://research.tue.nl/en/publications/388d7124-2c9a-49b5-81ee-d8eb5342dd2f
https://doi.org/10.1016/j.conengprac.2025.106425
https://pure.tue.nl/ws/files/360474542/SlowSampledTimeDomainFIR.pdf
https://pure.tue.nl/ws/files/360545945/1-s2.0-S0967066125001881-main.pdf
https://www.scopus.com/pages/publications/105007799790
Rights: info:eu-repo/semantics/openAccess ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; http://creativecommons.org/licenses/by/4.0/
Dokumentencode: edsbas.34CEF18B
Datenbank: BASE
Beschreibung
Abstract:Models that contain intersample behavior are important for control design of systems with slow-rate outputs. The aim of this paper is to develop a system identification technique for fast-rate models of systems where only slow-rate output measurements are available, e.g., vision-in-the-loop systems. In this paper, the intersample response is estimated by identifying fast-rate models through least-squares criteria, and the limitations of these models are determined. In addition, a method is developed that surpasses these limitations and is capable of estimating unique fast-rate models of arbitrary order by regularizing the least-squares estimate. The developed method utilizes fast-rate inputs and slow-rate output measurements and identifies fast-rate models accurately in a single identification experiment. Finally, both simulation and experimental validation on a prototype wafer stage demonstrate the effectiveness of the framework.
DOI:10.1016/j.conengprac.2025.106425