Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems

Author

Duan, Gaung-Ren

Author_Institution

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

Volume

38

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

276

Lastpage

280

Abstract

Two new simple, complete, analytical, and restriction-free solutions with complete and explicit freedom of the matrix equation AV+BW=VF are proposed. Here [AB] is known and is controllable, and F is in the Jordan form with arbitrary given eigenvalues. Based on the proposed solutions of this matrix equation, a complete parametric approach for eigenstructure assignment in linear systems via state feedback is proposed, and two new algorithms are presented. The proposed solutions of the matrix equation and the eigenstructure assignment result are generalizations of some previous results and are simpler and more effective

Keywords

eigenvalues and eigenfunctions; feedback; linear systems; matrix algebra; Jordan form; eigenstructure assignment; linear systems; matrix algebra; matrix equation; parametric approach; state feedback; Control engineering; Control systems; Control theory; Eigenvalues and eigenfunctions; Equations; Linear feedback control systems; Linear systems; State feedback; Symmetric matrices; Vectors;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.250470

Filename

250470