Frequency response functions of linear parameter-varying systems

Maarten Schoukens (Corresponding author), Roland Tóth

Research output: Contribution to journalConference articlepeer-review

4 Citations (Scopus)
61 Downloads (Pure)


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
Number of pages6
Issue number28
Publication statusPublished - 4 Nov 2019
Event3rd IFAC Workshop on Linear Parameter-Varying Systems - Eindhoven, Netherlands
Duration: 4 Nov 20196 Nov 2019


  • Frequency domain
  • Frequency response function
  • Linear parameter-varying


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