Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 32-37 |
| Journal | IFAC-PapersOnLine |
| Volume | 52 |
| Issue number | 28 |
| DOIs | |
| Publication status | Published - 4 Nov 2019 |
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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 journal › Article › Academic › peer-review
TY - JOUR
T1 - Frequency response functions of linear parameter-varying systems
AU - Schoukens, Maarten
AU - Tóth, Roland
PY - 2019/11/4
Y1 - 2019/11/4
N2 - 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.
AB - 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.
U2 - 10.1016/j.ifacol.2019.12.344
DO - 10.1016/j.ifacol.2019.12.344
M3 - Article
VL - 52
SP - 32
EP - 37
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8963
IS - 28
ER -