A bode sensitivity integral for linear time-periodic systems

被引：3
|
作者：
Sandberg, H [1 ]
Bernhardsson, B [1 ]
机构：
[1] Lund Inst Technol, Dept Automat Control, SE-22100 Lund, Sweden
来源：
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5 | 2004年
关键词：
D O I：
10.1109/CDC.2004.1428859
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For linear time-invariant systems Bode's sensitivity integral is a well-known formula that quantifies some of the limitations in feedback control. In this paper we show that a very similar formula holds for linear time-periodic systems. We use the infinite-dimensional frequency-response operator called the harmonic transfer function to prove the result. It is shown that the harmonic transfer function is an analytic operator and a trace class operator under the assumption that the periodic system has roll-off 2. A periodic system has roll-off 2 if the first time-varying Markov parameter is equal to zero.
引用
收藏
页码：2644 / 2649
页数：6
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