Frequency Domain Identification of Multirate Systems

A Lifted Local Polynomial Modeling Approach

Conference paper (2022)

Authors

Max van Haren Eindhoven University of Technology

Lennart Blanken Eindhoven University of Technology, Sioux Technologies

T.A.E. Oomen Team Jan-Willem van Wingerden - Mechanical, Maritime and Materials Engineering , Eindhoven University of Technology

Tom Oomen Team Jan-Willem van Wingerden - Mechanical, Maritime and Materials Engineering , Eindhoven University of Technology

Research Group

Team Jan-Willem van Wingerden (Mechanical, Maritime and Materials Engineering) (TU Delft)

DOI: https://doi.org/10.1109/CDC51059.2022.9992919

Estimation Control systems Linear systems Performance evaluation Benchmark testing Transfer functions Time-frequency analysis

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Published Date

2022

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Jan-Willem van Wingerden

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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