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Sampling in Parametric and Nonparametric System Identification: Aliasing, Input Conditions, and Consistency
Control Systems Technology Section, Department of Mechanical Engineering, Eindhoven University of Technology, 5612 AZ Eindhoven, The Netherlands.ORCID iD: 0000-0002-5106-2784
Control Systems Technology Section, Department of Mechanical Engineering, Eindhoven University of Technology, 5612 AZ Eindhoven, The Netherlands.ORCID iD: 0000-0003-1243-1871
Control Systems Technology Section, Department of Mechanical Engineering, Eindhoven University of Technology, 5612 AZ Eindhoven, The Netherlands; Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands.ORCID iD: 0000-0001-7721-4566
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0003-0355-2663
2024 (English)In: IEEE Control Systems Letters, E-ISSN 2475-1456, Vol. 8, p. 2415-2420Article in journal (Refereed) Published
Abstract [en]

The sampling rate of input and output signals is known to play a critical role in the identification and control of dynamical systems. For slow-sampled continuous-time systems that do not satisfy the Nyquist-Shannon sampling condition for perfect signal reconstructability, careful consideration is required when identifying parametric and nonparametric models. In this letter, a comprehensive statistical analysis of estimators under slow sampling is performed. Necessary and sufficient conditions are obtained for unbiased estimates of the frequency response function beyond the Nyquist frequency, and it is shown that consistency of parametric estimators can be achieved even if input frequencies overlap after aliasing. Monte Carlo simulations confirm the theoretical properties.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2024. Vol. 8, p. 2415-2420
Keywords [en]
frequency response function, Frequency-domain system identification, undersampled systems
National Category
Control Engineering Signal Processing
Identifiers
URN: urn:nbn:se:kth:diva-367358DOI: 10.1109/LCSYS.2024.3487501ISI: 001349781600003Scopus ID: 2-s2.0-85208225107OAI: oai:DiVA.org:kth-367358DiVA, id: diva2:1984650
Note

QC 20250717

Available from: 2025-07-17 Created: 2025-07-17 Last updated: 2025-07-17Bibliographically approved

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Rojas, Cristian R.

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