线性采样数据系统的稳定性分析  

Stability Analysis of Linear Sampled-data Systems

作　　者：戴浩晖[1] 陈树中[2] 汪志鸣[1] 

机构地区：[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

出　　处：《华东师范大学学报（自然科学版）》2005年第Z1期103-110,共8页Journal of East China Normal University(Natural Science)

基　　金：上海市重点学科建设项目上海市基础研究重点项目(04JC14031)

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。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.

关 键 词：采样数据系统 零阶保持器 稳定 

分 类 号：C93[经济管理—管理学]