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

页码：1830 / 1858

页数：29

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