Frequency response functions of linear parameter-varying systems

Maarten Schoukens (Corresponding author), Roland Tóth

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

Frequency-domain system representations offer important system analysis, control design and simulation tools. While this representation concept is well developed for linear time-invariant systems, there has been no general theory established for the linear parameter-varying (LPV) system class. This paper overviews and compares the existing concepts of frozen and instantaneous frequency-domain LPV representations, pointing out the need for a representation form where the effect of the spectrum of a varying scheduling trajectory can be clearly understood and analyzed on the output spectrum. For this purpose, the harmonic frequency response function (hFRF), known from the linear time-varying literature, in introduced for LPV systems. More specifically the paper demonstrates how the hFRF can be computed directly in the frequency domain for discrete-time affine input-output LPV systems.
Original languageEnglish
Pages (from-to)32-37
JournalIFAC-PapersOnLine
Volume52
Issue number28
DOIs
Publication statusPublished - 4 Nov 2019

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Frequency response
Control system analysis
Scheduling
Trajectories

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title = "Frequency response functions of linear parameter-varying systems",
abstract = "Frequency-domain system representations offer important system analysis, control design and simulation tools. While this representation concept is well developed for linear time-invariant systems, there has been no general theory established for the linear parameter-varying (LPV) system class. This paper overviews and compares the existing concepts of frozen and instantaneous frequency-domain LPV representations, pointing out the need for a representation form where the effect of the spectrum of a varying scheduling trajectory can be clearly understood and analyzed on the output spectrum. For this purpose, the harmonic frequency response function (hFRF), known from the linear time-varying literature, in introduced for LPV systems. More specifically the paper demonstrates how the hFRF can be computed directly in the frequency domain for discrete-time affine input-output LPV systems.",
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Frequency response functions of linear parameter-varying systems. / Schoukens, Maarten (Corresponding author); Tóth, Roland.

In: IFAC-PapersOnLine, Vol. 52, No. 28, 04.11.2019, p. 32-37.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Tóth, Roland

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