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

页码：1669 / 1675

页数：7

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