DocumentCode
842036
Title
On model reduction by modified Cauer form
Author
Parthasarathy, R. ; Jayasimha, K.N. ; John, Sarasu
Author_Institution
University of Roorkee, Roorkee, India
Volume
28
Issue
4
fYear
1983
fDate
4/1/1983 12:00:00 AM
Firstpage
523
Lastpage
525
Abstract
A simple algorithm for obtaining the continued fraction quotients in the modified Cauer form (MCF) from the given system matrices in companion form is presented. In the sequel, the triple of all lower order models in companion form is directly obtained. A matrix method of obtaining the time-moments and Markov parameters from the MCF quotients is also outlined. Finally, it is shown that system reduction by matching a set of MCF quotients is equivalent to system reduction by matching a set of time-moments and Markov parameters.
Keywords
Companion matrices; Continued fractions; Reduced-order systems; Transfer functions; Automatic control; Control systems; Controllability; Delay effects; Delay systems; Jacobian matrices; Laplace equations; Linear systems; Polynomials; Reduced order systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1983.1103262
Filename
1103262
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