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

页码：3357 / 3362

页数：6

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