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Model Order Reduction of Interval Systems using Mihailov Criterion and Factor Division Method

by D. Kranthi Kumar, S. K. Nagar, J. P. Tiwari
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 28 - Number 11
Year of Publication: 2011
Authors: D. Kranthi Kumar, S. K. Nagar, J. P. Tiwari
10.5120/3430-4630

D. Kranthi Kumar, S. K. Nagar, J. P. Tiwari . Model Order Reduction of Interval Systems using Mihailov Criterion and Factor Division Method. International Journal of Computer Applications. 28, 11 ( August 2011), 8-12. DOI=10.5120/3430-4630

@article{ 10.5120/3430-4630,
author = { D. Kranthi Kumar, S. K. Nagar, J. P. Tiwari },
title = { Model Order Reduction of Interval Systems using Mihailov Criterion and Factor Division Method },
journal = { International Journal of Computer Applications },
issue_date = { August 2011 },
volume = { 28 },
number = { 11 },
month = { August },
year = { 2011 },
issn = { 0975-8887 },
pages = { 8-12 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume28/number11/3430-4630/ },
doi = { 10.5120/3430-4630 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:14:29.688825+05:30
%A D. Kranthi Kumar
%A S. K. Nagar
%A J. P. Tiwari
%T Model Order Reduction of Interval Systems using Mihailov Criterion and Factor Division Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 28
%N 11
%P 8-12
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a mixed method for reducing order of the large scale interval systems using the Mihailov Criterion and factor division method. The denominator coefficients of reduced order model is determined by using Mihailov Criterion and numerator coefficients are obtained by using Factor division method. The mixed methods are simple and guarantee the stability of the reduced model if the original system is stable. Numerical examples are discussed to illustrate the usefulness of the proposed method.

References
  1. M. Aoki, “Control of large-scale dynamic systems by aggregation,” IEEE Trans. Automat. Contr., vol. AC-13, pp. 246-253, 1968.
  2. Y. Shamash, “Stable reduced order models using Pade type approximation,” IEEE Trans. Automat. Contr., vol. AC-19, pp. 615-616, 1974.
  3. M. F. Hutton and B. Friedland. “Routh approximation for reducing order of linear time invariant system,” IEEE Trans. Automat. Contr., vol. AC-20, pp. 329-337, 1975.
  4. V. Krishnamurthy and V. Seshadri, “Model reduction using Routh stability criterion,” IEEE Trans. Automat. Contr., vol. AC-23, pp. 729-730, 1978.
  5. N. K. Sinha and B. Kuszta, “Modelling and Identification of Dynamic Systems”.
  6. K. Glover, “All optimal Hankel-norm approximations of linear multivariable systems and their Loo error bounds,” Int. J. Contr., vol. 39, no. 6, pp. 1115-1193, 1984.
  7. T. N. Lucas. “Factor division – A useful algorithm in model reduction, IEE Proc, Vol. 130, pp.362-364, 1983.
  8. Y. Shamash, “Model reduction using Routh stability criterion and the Pade approximation,” Int. J. Contr., vol. 21, pp. 475-484, 1975.
  9. Wan Bai-Wu, “ Linear Model reduction using Mihailov Criterion and pade Approximation Technique,” International Journal of Control, vol 33, no. 6, pp. 1073, 1981
  10. V. L. Kharitonov, “Asymptotic stability of an equilibrium position of a family of systems of linear differential equations,” Differentsial’nye Uravneniya, vol. 14, pp. 2086–2088, 1978.
  11. S. P. Bhattacharyya, Robust Stabilization Against Structured Perturbations (Lecture Notes In Control and Information Sciences). New York: Springer-Verlag. 1987.
  12. B. Bandyopadhyay, O. Ismail, and R. Gorez, “Routh Pade approximation for interval systems,” IEEE Trans. Automat. Contr., pp. 2454–2456, Dec1994.
  13. B. Bandyopadhyay.: “γ-δ Routh approximations for interval systems,” IEEE Trans. Autom. Control, pp. 1127-1130, 1997.
  14. G V K Sastry, G R Raja Rao and P M Rao, “Large Scale Interval System Modelling Using Routh Approximants,” Electronics Letters, vol 36, no 8, pp. 768. April 2000.
  15. E. Hansen, “Interval arithmetic in matrix computations, Part I,” SIAM J. Numerical Anal., pp. 308-320, 1965.
  16. O.Ismail and B.Bandyopadhyay, “Model reduction of Linear interval systems using Pade approximation, IEEE International Symposium on Circuits and Systems, vol.2, pp.1400-1403,1995.
Index Terms

Computer Science
Information Sciences

Keywords

Factor division Mihailov Criterion Mixed method Reduced order Stability

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