DocumentCode
847800
Title
Minimal balanced realization of transfer function matrices using Markov parameters
Author
Sveinsson, J.R. ; Fairman, F.W.
Author_Institution
Queen´´s University, Kingston, Ontario, Canada
Volume
30
Issue
10
fYear
1985
fDate
10/1/1985 12:00:00 AM
Firstpage
1014
Lastpage
1016
Abstract
A new relation between the controllability (observability) matrix and Gramian for any stable realization is used to enable the development of an algorithm for obtaining a minimal balanced realization directly from the transfer function matrix. The algorithm employs the Markov parameters and a positive definite symmetric matrix which is composed solely from the coefficients of the least common denominator polynomial of the transfer function matrix.
Keywords
Controllability, linear systems; Markov processes; Minimal realizations; Transfer function matrices; Automatic control; Controllability; Equations; Matrix decomposition; Observability; Polynomials; Reduced order systems; Singular value decomposition; Symmetric matrices; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1985.1103827
Filename
1103827
Link To Document