Frequency-domain analysis of linear time-periodic systems

被引：0
|
作者：
Sandberg, H [1 ]
Möllerstedt, E [1 ]
Bernhardsson, B [1 ]
机构：
[1] Lund Inst Technol, Dept Automat Control, S-22100 Lund, Sweden
来源：
PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2004年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we study how a system with a time-periodic impulse response may be expanded into a sum of modulated time-invariant systems. This allows us to define a linear frequency-response operator for periodic systems, called the harmonic transfer function (HTF). Similar frequency-response operators have been derived before for sampled-data systems and periodic finite-dimensional state-space systems. The HTF is an infinite-dimensional operator that captures the frequency coupling of a time-periodic system. The paper includes analysis of convergence of truncated HTFs. For this reason the concepts of input/output roll-off are developed and related to time-varying Markov parameters.
引用
收藏
页码：3357 / 3362
页数：6
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