DocumentCode
831892
Title
Some further observations on the differentiation method of modal reduction
Author
Lucas, T.N.
Author_Institution
Dept. of Math. & Comput. Sci., Dundee Inst. of Technol., UK
Volume
37
Issue
9
fYear
1992
fDate
9/1/1992 12:00:00 AM
Firstpage
1389
Lastpage
1391
Abstract
The differentiation method of model reduction is shown to be equivalent to forming successive ratios of multipoint Taylor polynomial approximation of the numerator and denominator of the transfer function, respectively. This reformulation allows the method to be applied entirely through a Routh-type array structure. Strong links are seen to exist between the method and other stability preserving methods via this Routh-type structure
Keywords
approximation theory; differentiation; polynomials; transfer functions; Routh-type array structure; differentiation method; modal reduction; multipoint Taylor polynomial approximation; stability preserving methods; transfer function; Approximation algorithms; Approximation methods; Control system synthesis; Equations; Large-scale systems; Linear systems; Polynomials; Reduced order systems; Stability; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.159578
Filename
159578
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