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 language | English |
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Pages (from-to) | 32-37 |
Number of pages | 6 |
Journal | IFAC-PapersOnLine |
Volume | 52 |
Issue number | 28 |
DOIs | |
Publication status | Published - 4 Nov 2019 |
Event | 3rd IFAC Workshop on Linear Parameter-Varying Systems - Eindhoven, Netherlands Duration: 4 Nov 2019 → 6 Nov 2019 |
Keywords
- Frequency domain
- Frequency response function
- Linear parameter-varying