A new approach to eigenstructure assignment by output feedback

Author

Alexandridis, A.T. ; Paraskevopoulos, P.N.

Author_Institution

Dept. of Electr. & Comput. Eng., Patras Univ., Greece

Volume

41

Issue

7

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

1046

Lastpage

1050

Abstract

The eigenstructure assignment problem for a linear time invariant multi-input-multi-output system using output feedback is considered. A new approach is developed which identifies the eigenspaces for the desired set of all the closed-loop eigenvalues. For the assignment of this desired set, necessary and sufficient conditions are established. These conditions contain two coupled Sylvester matrix equations, one of which is proven to be a reduced-order square Sylvester matrix equation. This results in an efficient analytical procedure, numerically superior to known techniques, for the determination of the output feedback gain-matrix

Keywords

MIMO systems; closed loop systems; controllability; eigenstructure assignment; feedback; linear systems; matrix algebra; observability; pole assignment; closed-loop eigenvalues; coupled Sylvester matrix equations; eigenstructure assignment; gain-matrix; linear time invariant multi-input-multi-output system; necessary and sufficient conditions; output feedback; reduced-order square Sylvester matrix equation; Algorithm design and analysis; Artificial intelligence; Computer science; Control systems; Eigenvalues and eigenfunctions; Equations; Output feedback; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.508914

Filename

508914