Partial eigenvalue assignment problem of high order control systems using orthogonality relations

被引：20

作者：

Ramadan, Mohamed A. ^{[1
]}

El-Sayed, Ehab A. ^{[2
]}

机构：

[1] Menoufia Univ, Dept Math, Fac Sci, Menoufia, Egypt

[2] Suez Canal Univ, Dept Sci & Math, Fac Petr & Min Engn, Suez, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 06期

关键词：

Polynomial eigenvalue problem; Orthogonality relations; Matrix polynomial;

D O I：

10.1016/j.camwa.2009.07.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present an explicit solution to the partial eigenvalue assignment problem of high order control system using orthogonality relations between eigenvectors of the matrix polynomial. Our solution can be implemented with only a partial knowledge of the spectrum and the corresponding left eigenvectors of the matrix polynomial. We show that the number of eigenvalues and eigenvectors that need to remain unchanged will not affected by feedback. A numerical example is given to illustrate the applicability and the practical usefulness of the proposed method. (C) 2010 Published by Elsevier Ltd

引用

页码：1918 / 1928

页数：11

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