DocumentCode :
816935
Title :
A minimum realization method
Author :
Raven, E.A.
Author_Institution :
Bendix Corporation, USA
Volume :
1
Issue :
3
fYear :
1981
fDate :
9/1/1981 12:00:00 AM
Firstpage :
14
Lastpage :
20
Abstract :
A new method of obtaining a minimum state space ( 
) realization of an 
proper rational transfer function matrix, 
, is presented. 
is found in the usual manner. The denominator roots are calculated and the 
matrix is formed. An initial estimate of the 
and 
matrices is assigned and a transfer function matrix is calculated from the estimated state space matrices. The and matrices are adjusted by the algorithm until the computed transfer function is "close enough" to the original transfer function matrix.
) realization of an proper rational transfer function matrix, , is presented. is found in the usual manner. The denominator roots are calculated and the matrix is formed. An initial estimate of the and matrices is assigned and a transfer function matrix is calculated from the estimated state space matrices. The and matrices are adjusted by the algorithm until the computed transfer function is "close enough" to the original transfer function matrix.Keywords :
Minimal realizations; Transfer function matrices; Convergence; Eigenvalues and eigenfunctions; Equations; State estimation; State-space methods; Transfer functions;
fLanguage :
English
Journal_Title :
Control Systems Magazine, IEEE
Publisher :
ieee
ISSN :
0272-1708
Type :
jour
DOI :
10.1109/MCS.1981.1100784
Filename :
1100784
Link To Document :
