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Reseach Article

Clustering Method for Reducing Order of Linear System using Factor Division Algorithm

by Vinod Kumar, J. P. Tiwari
International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 3 - Number 5
Year of Publication: 2012
Authors: Vinod Kumar, J. P. Tiwari
10.5120/ijais12-450501

Vinod Kumar, J. P. Tiwari . Clustering Method for Reducing Order of Linear System using Factor Division Algorithm. International Journal of Applied Information Systems. 3, 5 ( July 2012), 1-4. DOI=10.5120/ijais12-450501

@article{ 10.5120/ijais12-450501,
author = { Vinod Kumar, J. P. Tiwari },
title = { Clustering Method for Reducing Order of Linear System using Factor Division Algorithm },
journal = { International Journal of Applied Information Systems },
issue_date = { July 2012 },
volume = { 3 },
number = { 5 },
month = { July },
year = { 2012 },
issn = { 2249-0868 },
pages = { 1-4 },
numpages = {9},
url = { https://www.ijais.org/archives/volume3/number5/225-0501/ },
doi = { 10.5120/ijais12-450501 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T10:45:47.060403+05:30
%A Vinod Kumar
%A J. P. Tiwari
%T Clustering Method for Reducing Order of Linear System using Factor Division Algorithm
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 3
%N 5
%P 1-4
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A mixed method is proposed for finding stable reduced order models of single-input- single-output large-scale systems using Factor division algorithm and the clustering technique. The denominator polynomial of the reduced order model with respect to original model is determined by forming the clusters of the poles of the original system, and the coefficients of numerator polynomial with respect to original model are obtained by using the Factor division algorithm. The mixed methods are simple and guarantee the stability of the reduced model if the original system is stable. The methodology of the proposed method is illustrated with the help of examples from literature.

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Index Terms

Computer Science
Information Sciences

Keywords

Clustering technique Order reduction Factor division algorithm Transfer function Stability Integral square error (ISE)