Eigenvalue assignment for multi-input systems using canonical form feedback matrix

Author

Salman, Raied A.

Author_Institution

Dept. of Control & Syst. Eng., Univ. of Technol., Baghdad, Iraq

Volume

2

fYear

1992

fDate

10-13 May 1992

Firstpage

730

Abstract

A method for assigning the eigenvalues for multi-input systems is proposed which involves changing the system matrices to upper Hessenberg form and then using a canonical feedback matrix. A transformation matrix is used with eigenvectors and generalized eigenvectors to assign the real and complex eigenvalues using the real arithmetic operations only. The feedback gain matrix is chosen to be in a canonical form so that the effect of changing the elements of the transformed Hessenberg form matrix will not be in the first row. As the number of inputs increases, the number of rows to be changed will increase as well

Keywords

eigenvalues and eigenfunctions; matrix algebra; multivariable systems; state-space methods; canonical form feedback matrix; eigenvalues; eigenvectors; multi-input systems; real arithmetic operations only; transformation matrix; upper Hessenberg form; Arithmetic; Control systems; Eigenvalues and eigenfunctions; Equations; State feedback; State-space methods; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on

Conference_Location

San Diego, CA

Print_ISBN

0-7803-0593-0

Type

conf

DOI

10.1109/ISCAS.1992.230148

Filename

230148