[1]王子栋,孙翔,郭治.配置区域极点的约束方差设计:离散时间情形[J].南京理工大学学报(自然科学版),2000,(01):28-31.
 WangZidong SunXiang GuoZhi.Constrained Variance Design for Assigning Regional Poles: The Discrete time Case[J].Journal of Nanjing University of Science and Technology,2000,(01):28-31.
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配置区域极点的约束方差设计:离散时间情形()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2000年01期
页码:
28-31
栏目:
出版日期:
2000-02-28

文章信息/Info

Title:
Constrained Variance Design for Assigning Regional Poles: The Discrete time Case
作者:
王子栋孙翔1郭治1
南京理工大学理学院, ¹ 信息学院, 南京210094
Author(s):
WangZidong SunXiang ① GuoZhi ①
School of Sciences,① School of Information,NUST,Nanjing 210094
关键词:
线性离散随机系统 极点配置 约束方差设计
Keywords:
linear discrete-t ime stochast ic systems pole assig nment const rained variance design
分类号:
TP271.8
摘要:
该文研究线性离散随机系统在区域极点及方差约束下的控制器设计问题 ,即设计状态反馈控制器 ,使闭环系统的极点位于给定区域内 ,同时稳态状态方差不大于预先给定值。给出期望控制器的存在条件及其解析表达式 ,并提供相应的说明性数值例子
Abstract:
T his paper studies the problem of designing controller for linear discrete-t ime stochast ic systems w ith reg ional pole and variance constraints. T he problem presented here is to design state feedback cont rollers in such a w ay that the close-loop systems sat isfy the prespec-i f ied regional pole constraints and the prespecified steady-state variance const raints. The cond-i t ions for the ex istence and the analy tical expression of the desired cont roller are given. The corresponding illust rated numerical example is also provided.

参考文献/References:

1 Ho tz A F, Skelton R E. A co variance control theor y. Int J Contr, 1987, 46( 1) : 13~ 32
2 Skelton R E, Ikeda M. Covariance controllers for linear continuous- time systems. Int J Contr,1989, 49( 5) : 1773~ 1785
3 Hsieh C, Skelto n R E. All co nvariance controllers for linear discrete- time systems. IEEE Trans Automat Contr , 1990, 35( 8) : 908~ 915
4 Vetter W J. Vecto r structures and solutions of linear matr ix equation. Linear Algebra and Application,1975, 10: 181~ 188
5 Ben- Israel A, Greville T N E. Generalized inverse: theory and applications. London: John Wiley and Sons Inc, 1974

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备注/Memo

备注/Memo:
南京理工大学科研发展基金资助项目
王子栋 男 30 岁 副教授
更新日期/Last Update: 2013-03-25