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Model Order Reduction of Interval Systems using Mihailov Criterion and Cauer Second Form

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International Journal of Computer Applications
© 2011 by IJCA Journal
Number 1 - Article 1
Year of Publication: 2011
Authors:
D. Kranthi Kumar
S. K. Nagar
J. P. Tiwari
10.5120/3907-5483

Kranthi D Kumar, S K Nagar and J P Tiwari. Article:Model Order Reduction of Interval Systems Using Mihailov Criterion and Cauer Second Form. International Journal of Computer Applications 32(6):17-21, October 2011. Full text available. BibTeX

@article{key:article,
	author = {D. Kranthi Kumar and S. K. Nagar and J. P. Tiwari},
	title = {Article:Model Order Reduction of Interval Systems Using Mihailov Criterion and Cauer Second Form},
	journal = {International Journal of Computer Applications},
	year = {2011},
	volume = {32},
	number = {6},
	pages = {17-21},
	month = {October},
	note = {Full text available}
}

Abstract

This paper presents a new mixed method for reducing the large scale interval systems using the Mihailov Criterion and Cauer second form. The reduced order model of denominator is determined by using Mihailov Criterion and numerator coefficients are obtained by using Cauer second form. We show that the mixed method is simple and guarantees the stability of the reduced model if the original system is stable. A numerical examples are illustrated and verified its stability.

Reference

  • B. Bandyopadhyay, O. Ismail, and R. Gorez, “Routh Pade approximation for interval systems,” IEEE Trans. Automat. Contr., pp. 2454–2456, Dec1994.
  • B. Bandyopadhyay.: ‘γ-δ Routh approximations for interval systems’, IEEE Trans. Autom. Control, pp. 1127-1130, 1997.
  • C. Hwang and S.-F. Yang, “Comments on the computation of interval Routh approximants,” IEEE Trans. Autom. Control, vol. 44, no. 9, pp.1782–1787, Sep. 1999.
  • 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.
  • Y. Dolgin and E. Zeheb, “On Routh-Pade model reduction of interval systems,” IEEE Trans. Autom. Control, vol. 48, no. 9, pp. 1610–1612, Sep. 2003.
  • S. F. Yang, “Comments on ‘On Routh-Pade model reduction of interval systems’,” IEEE Trans. on Automatic Control, vol. 50, no. 2, pp.273-274, 2005.
  • Y. Dolgin, “Author’s Reply,” IEEE Trans. Autom. Control, vol. 50, no. 2, pp. 274-275, Feb. 2005.
  • G.Saraswathi, “ A Mixed Method for Order Reduction of Interval Systems,” International Conference on Intelligent and Advanced Systems, pp. 1042-1046, 2007.
  • Yan Zhe Penngfei Bi Zhiqiang Zhang and Liwei Niu, “ Improved algorithm of model order reduction of large scale internal system, The 6th International Forum on strategic technology, pp:716- 719, Aug 22-24, 2011.
  • D.Kranthi kumar, S. K. Nagar and J. P. Tiwari, “Model Order Reduction of Interval Systems Using Mihailov Criterion and Routh Approximations”, International journal of engineering science and technology , Vol. 3 No. 7, pp. 5593-5598, July 2011.
  • D. Kranthi kumar, S. K. Nagar and J. P. Tiwari, “Model Order Reduction of Interval Systems Using Mihailov Criterion and Factor Division Method”, International journal of computer applications ,Volume 28– No.11, pp. 4-8, August 2011
  • E.Hansen, “Interval arithmetic in matrix computations, Part I,” SIAM J. Numerical Anal., pp. 308-320, 1965.