A New Approach to Robust Stability Analysis of Sampled-data Control Systems

被引：2

作者：

WANG GuangXiong LIU YanWen HE Zhen WANG YongLiDepartment of Control Science and Engineering Harbin Institute of Technology Harbin ^{[150001
]}

机构：

来源：

自动化学报 | 2005年 / 04期

关键词：

Sampled-data system; lifting technique; robust stability; small gain theorem;

D O I：

10.16383/j.aas.2005.04.002

中图分类号：

TP273.5 [];

学科分类号：

摘要：

The lifting technique is now the most popular tool for dealing with sampled-data controlsystems. However, for the robust stability problem the system norm is not preserved by the liftingas expected. And the result is generally conservative under the small gain condition. The reason forthe norm di?erence by the lifting is that the state transition operator in the lifted system is zero inthis case. A new approach to the robust stability analysis is proposed. It is to use an equivalentdiscrete-time uncertainty to replace the continuous-time uncertainty. Then the general discretizedmethod can be used for the robust stability problem, and it is not conservative. Examples are givenin the paper.

引用

页码：18 / 23

页数：6