Eigenstructure assignment by decentralized output feedback-a complete parametric approach

Author

Duan, Guang-Ren

Author_Institution

Dept. of Control Eng., Harbin Inst. of Technol., China

Volume

39

Issue

5

fYear

1994

fDate

5/1/1994 12:00:00 AM

Firstpage

1009

Lastpage

1014

Abstract

The problem of eigenstructure assignment in multivariable linear systems by decentralized output feedback is considered. By using a complete parametric solution of a generalized Sylvester matrix equation, parametric representations of both the left and right closed-loop eigenvectors and generalized eigenvectors as well as the feedback gains with respect to the closed-loop eigenvalues and two series of partially free parameter vectors are established. The obtained result does not require any conditions on the closed-loop eigenvalues, and generalizes some previous results in this area. An example shows the effect of the proposed approach

Keywords

closed loop systems; decentralised control; eigenvalues and eigenfunctions; feedback; linear systems; matrix algebra; multivariable control systems; closed-loop eigenvectors; decentralized output feedback; eigenstructure assignment; feedback gains; generalized Sylvester matrix equation; generalized eigenvectors; multivariable linear systems; parametric representations; Australia; Eigenvalues and eigenfunctions; Functional analysis; Linear approximation; Linear systems; Output feedback; Polynomials; Reduced order systems; State feedback; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.284882

Filename

284882