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Reseach Article

Article:A Method for the reduction of MIMO systems using Interlacing property and Coefficients matching

by P.Rama Jaya Lakshmi, Ch.Vvishnu Chakravarti, P.Mallikarjuna Rao
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 1 - Number 9
Year of Publication: 2010
Authors: P.Rama Jaya Lakshmi, Ch.Vvishnu Chakravarti, P.Mallikarjuna Rao
10.5120/209-351

P.Rama Jaya Lakshmi, Ch.Vvishnu Chakravarti, P.Mallikarjuna Rao . Article:A Method for the reduction of MIMO systems using Interlacing property and Coefficients matching. International Journal of Computer Applications. 1, 9 ( February 2010), 14-17. DOI=10.5120/209-351

@article{ 10.5120/209-351,
author = { P.Rama Jaya Lakshmi, Ch.Vvishnu Chakravarti, P.Mallikarjuna Rao },
title = { Article:A Method for the reduction of MIMO systems using Interlacing property and Coefficients matching },
journal = { International Journal of Computer Applications },
issue_date = { February 2010 },
volume = { 1 },
number = { 9 },
month = { February },
year = { 2010 },
issn = { 0975-8887 },
pages = { 14-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume1/number9/209-351/ },
doi = { 10.5120/209-351 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:45:24.821681+05:30
%A P.Rama Jaya Lakshmi
%A Ch.Vvishnu Chakravarti
%A P.Mallikarjuna Rao
%T Article:A Method for the reduction of MIMO systems using Interlacing property and Coefficients matching
%J International Journal of Computer Applications
%@ 0975-8887
%V 1
%N 9
%P 14-17
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper suggests a mixed method for the reduction of order of linear high order MIMO systems. This method is based upon the interlacing property of the systems. The denominator polynomial of the reduced order model is obtained by using interlacing property and the numerator is obtained by matching the coefficients of higher order system with those of denominator of the reduced order model. In general the stability of the higher order system is retained in their models. This method is very much flexible and it avoids the iterative procedures for obtaining stable reduced models for a stable high order MIMO systems. The suggested method gives good approximation of the response characteristics of High order MIMO system and its model.

References
  1. Hutton, M.F and Friedland,B., “Routh Approximation for reducing order of linear time invariant systems”, IEEE Trans. On Automatic Control, Vol.20, 1975, PP.329-337.
  2. Shieh,L.S and Goldman ,M.J, “Continued Fraction Expansion and Inversion of Cauer Third form”, IEEE Trans. Circuits and Systems, May 1994, PP.341-345.
  3. Pal.J, “Stable Reduced order Pade Approximates using the Routh- Hurwitz Array”, Electronic letters, Vol.15, No.8, April 1979, PP.225-226.
  4. Shamash, Y. “Linear System Reduction by Pade Approximation to allow retention of Dominant modes”, International Journal of Control, Vol.21, 1975, PP.258-272.
  5. Bendekal DV.Papadopoulos D.P,”The Moment and Pade approximate method Applied to the order reduction of MIMO Linear system”, Journal of Franklin. Vol .329.No.3, 1992.
  6. Taiwo O ;”the simplification of Multivariable pade aapproximation”, International conference on control and Modeling Tehron , Iran,1990.
  7. Chen C.F.,”model reduction of multi variable Control systems by mixed continued Fraction”, International journal of control, Vol.20, No.2, 1974.
  8. Sinha .N.K “reduction of multivariable system”,Electrical letter .Vol.16,No.20,1980
Index Terms

Computer Science
Information Sciences

Keywords

Large Scale Systems Order Reduction Interlacing property MIMO Systems