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采样系统鲁棒稳定性分析的新方法

王广雄 刘彦文 何朕 王勇莉

自动化学报2005,Vol.31Issue(4):510-515,6.
自动化学报2005,Vol.31Issue(4):510-515,6.

采样系统鲁棒稳定性分析的新方法

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

王广雄 1刘彦文 1何朕 1王勇莉1

作者信息

  • 1. Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001
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摘要

Abstract

The lifting technique is now the most popular tool for dealing with sampled-data control systems. However, for the robust stability problem the system norm is not preserved by the lifting as expected. And the result is generally conservative under the small gain condition. The reason for the norm difference by the lifting is that the state transition operator in the lifted system is zero in this case. A new approach to the robust stability analysis is proposed. It is to use an equivalent discrete-time uncertainty to replace the continuous-time uncertainty. Then the general discretized method can be used for the robust stability problem, and it is not conservative. Examples are given in the paper.

关键词

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

Key words

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

分类

信息技术与安全科学

引用本文复制引用

王广雄,刘彦文,何朕,王勇莉..采样系统鲁棒稳定性分析的新方法[J].自动化学报,2005,31(4):510-515,6.

基金项目

Supported by the Harbin Institute of Technology Fund for the Key Subjects (54100179) (54100179)

自动化学报

OA北大核心CSCD

0254-4156

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