A bode sensitivity integral for linear time-periodic systems

被引：11
|
作者：
Sandberg, H
Bernhardsson, B
机构：
[1] Lund Univ, Dept Automat Control, SE-22100 Lund, Sweden
[2] Ericsson Mobile Platforms AB, SE-22183 Lund, Sweden
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 12期
关键词：
Bode sensitivity integral; linear time-periodic systems; performance limitations;
D O I：
10.1109/TAC.2005.860247
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Bode's sensitivity integral is a well-known formula that quantifies some of the limitations in feedback control for linear time-invariant systems. In this note, we show that there is a similar formula for linear time-periodic systems. The harmonic transfer function is used to prove the result. We use the notion of roll-off 2, which means that the first time-varying Markov parameter is equal to zero. It then follows that the harmonic transfer function is an analytic operator and a trace class operator. These facts are used to prove the result.
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页码：2034 / 2039
页数：6
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