Performance Analysis of Multirate Systems: A Direct Frequency-Domain Identification Approach

Fuente: arXiv
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Autores principales: van Haren, Max, Blanken, Lennart, Oomen, Tom
Formato: Preprint
Publicado: 2025
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author van Haren, Max
Blanken, Lennart
Oomen, Tom
author_facet van Haren, Max
Blanken, Lennart
Oomen, Tom
contents Frequency-domain performance analysis of intersample behavior in sampled-data and multirate systems is challenging due to the lack of a frequency-separation principle, and systematic identification techniques are lacking. The aim of this \manuscript is to develop an efficient technique for identifying the full intersample performance in the frequency-domain for closed-loop multirate systems, in particular the Performance Frequency Gain (PFG). Through local modeling techniques, aliased frequency components are effectively disentangled when identifying the PFG, which is directly facilitated by frequency-lifting the multirate system to a multivariable time-invariant representation. The developed method accurately and directly identifies the PFG in a single identification experiment. Finally, the developed method is experimentally validated on a prototype motion system, showing accurate identification of frequency-domain representations for the multirate system, including the PFG.
format Preprint
id arxiv_https___arxiv_org_abs_2503_04248
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Performance Analysis of Multirate Systems: A Direct Frequency-Domain Identification Approach
van Haren, Max
Blanken, Lennart
Oomen, Tom
Systems and Control
Frequency-domain performance analysis of intersample behavior in sampled-data and multirate systems is challenging due to the lack of a frequency-separation principle, and systematic identification techniques are lacking. The aim of this \manuscript is to develop an efficient technique for identifying the full intersample performance in the frequency-domain for closed-loop multirate systems, in particular the Performance Frequency Gain (PFG). Through local modeling techniques, aliased frequency components are effectively disentangled when identifying the PFG, which is directly facilitated by frequency-lifting the multirate system to a multivariable time-invariant representation. The developed method accurately and directly identifies the PFG in a single identification experiment. Finally, the developed method is experimentally validated on a prototype motion system, showing accurate identification of frequency-domain representations for the multirate system, including the PFG.
title Performance Analysis of Multirate Systems: A Direct Frequency-Domain Identification Approach
topic Systems and Control
url https://arxiv.org/abs/2503.04248