SOLUTIONS OF THE GENERALIZED SYLVESTER MATRIX EQUATION AND THE APPLICATION IN EIGENSTRUCTURE ASSIGNMENT

被引：13
|
作者：
Yang, Chunlei [1 ]
Liu, Jianzhou [1 ]
Liu, Yu [2 ]
机构：
[1] Xiangtan Univ, Dept Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
[2] Hanshan Normal Univ, Dept Math Sci & Informat Technol, Chaozhou 521041, Guangdong, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2012年 / 14卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Descriptor systems; Sylvester matrix equation; numerical solution; eigenstructure assignment; ITERATIVE METHOD; OUTPUT-FEEDBACK; LINEAR-SYSTEMS; OBSERVERS; ALGORITHM; AV;
D O I：
10.1002/asjc.448
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a numerical solution to the problem of eigenstructure assignment for descriptor systems is investigated. To this end, we obtain numerical solutions of the generalized Sylvester matrix equation AV + BW = EV F using an iterative method. Based on the presented solution of this equation, an approach using a generalized inverse matrix for eigenstructure assignment in continuous descriptor system E(x) over dot = Ax + Bu via descriptor variable feedback u = Kx is proposed. Finally, some numerical results show the effectiveness of the proposed approach.
引用
收藏
页码：1669 / 1675
页数：7
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