Disturbance decoupling for descriptor systems by state feedback

被引：27
|
作者：
Chu, DL
Mehrmann, V
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[2] TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 06期
关键词：
descriptor system; state feedback; disturbance decoupling; stability; orthogonal matrix transformation;
D O I：
10.1137/S0363012900331891
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the disturbance decoupling problem for linear time invariant descriptor systems. We give necessary and sufficient conditions for the existence of a solution to the disturbance decoupling problem with or without stability via a proportional and/or derivative feedback that also makes the resulting closed-loop system regular and/or of index at most one. All results are proved constructively based on condensed forms that can be computed using orthogonal matrix transformations, i.e., transformations that can be implemented in a numerically stable way.
引用
收藏
页码：1830 / 1858
页数：29
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