A bilinear formulation for the output feedback problem in linear systems

Author

Syrmos, V.L. ; Lewis, F.L.

Author_Institution

Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA

Volume

39

Issue

2

fYear

1994

fDate

2/1/1994 12:00:00 AM

Firstpage

410

Lastpage

414

Abstract

This note ties together a geometric theory and previous algebraic results for the closed-loop eigenstructure assignment by output feedback in multivariable systems. Necessary and sufficient conditions for the closed-loop stabilization, eigenstructure assignment are presented in terms of a bilinear Sylvester equation, the solutions of which completely characterize the closed-loop eigenstructure problem with output feedback. Some preliminary results for the solution of this bilinear equation are presented

Keywords

algebra; closed loop systems; eigenvalues and eigenfunctions; feedback; geometry; linear systems; multivariable control systems; algebraic results; bilinear Sylvester equation; bilinear formulation; closed-loop eigenstructure assignment; closed-loop stabilization; geometric theory; linear systems; multivariable systems.; necessary and sufficient conditions; output feedback problem; Control systems; Controllability; Equations; History; Linear systems; MIMO; Observability; Output feedback; Robotics and automation; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.272346

Filename

272346