Frequency Response Functions of Linear Parameter-Varying Systems

被引：4
作者：
Schoukens, Maarten [1 ]
Toth, Roland [1 ]
机构：
[1] Eindhoven Univ Technol, Control Syst Grp, Dept Elect Engn, Postbus 513, NL-5600 MB Eindhoven, Netherlands
来源：
IFAC PAPERSONLINE | 2019年 / 52卷 / 28期
基金：
欧洲研究理事会;
关键词：
Linear parameter-varying; Frequency response function; Frequency domain; DOMAIN;
D O I：
10.1016/j.ifacol.2019.12.344
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：32 / 37
页数：6
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