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
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