华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (5/6): 103-110.

• 数学 统计学 • 上一篇    下一篇

线性采样数据系统的稳定性分析

戴浩晖1, 陈树中2, 汪志鸣1   

  1. 1. 华东师范大学数学系, 上海 200062; 2.华东师范大学计算机系, 上海 200062
  • 收稿日期:2004-02-16 修回日期:2004-03-30 出版日期:2005-12-31 发布日期:2005-12-31
  • 通讯作者: 戴浩晖

Stability Analysis of Linear Sampled-data Systems(Chinese)

DAI Hao-hui1, CHEN Shu-zhong2, WANG Zi-ming1   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200062, China 2. Department of Computer Sciences, East China Normal University, Shanghai 200062, China
  • Received:2004-02-16 Revised:2004-03-30 Online:2005-12-31 Published:2005-12-31
  • Contact: DAI Hao-hui

摘要： 讨论了线性采样数据系统的稳定性条件.通过细致分析该系统的解，发现提高近似离散化阶数q可以达到并改善系统的稳定性。对于任意采样周期T, 可以找到一个最小的近似离散阶数q, 在设计采样控制时以q为近似离散化的阶数, 此时线性采样数据系统可以稳定, 而采样控制的存在性可由线性系统的能控性保证。

关键词: 采样数据系统, 零阶保持器, 稳定, 采样数据系统, 零阶保持器, 稳定

Abstract: In this paper, the sufficient condition of stability of linear sampled-data systems was discussed. After analyzing the solution of linear sampled-data system in details, we found that increasing the order of approximate discrete time system will obtain and improve the stability of linear sampled-date system. To any sample period, there is one smallest order of approximate discrete time system. And the existence of sample controller is ensured by the controllability of the original systems.

Key words: zero-holder, stability, sampled-data systems, zero-holder, stability

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