Parametric approaches for eigenstructure assignment in high-order linear systems via output feedback

Author

Yu, Haihua ; Bi, Degang

Author_Institution

Dept. of Autom., HeiLongJiang Univ., Harbin, China

fYear

2012

fDate

23-25 May 2012

Firstpage

459

Lastpage

464

Abstract

Eigenstructure assignment (ESA) in high-order linear systems via output feedback is considered. Parametric expressions for the left and right closed-loop eigenvectors matrices associated with the finite closed-loop eigenvalues are obtained on the basis of the parametric solutions of the generalized high-order Sylvester matrix equations. Furthermore, two simple and complete parametric solutions to the feedback gain matrices are given. Those approaches do not impose any restriction on the closed-loop eigenvalues.

Keywords

closed loop systems; eigenstructure assignment; feedback; linear systems; matrix algebra; eigenstructure assignment; feedback gain matrices; finite closed-loop eigenvalues; generalized high-order Sylvester matrix equations; high-order linear systems; left closed-loop eigenvectors matrices; output feedback; parametric approaches; parametric solutions; right closed-loop eigenvectors matrices; Closed loop systems; Educational institutions; Eigenvalues and eigenfunctions; Equations; Linear systems; Output feedback; Vectors; High-order linear systems; eigenstructure assignment; output feedback; parametric solutions; right factorization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244070

Filename

6244070