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System Reduced by Using Residue of Pole in Pole Clustering Technique and Differential Method

  • Maneesh Kumar Gupta
  • Rajnish Bhasker
Conference paper
  • 63 Downloads
Part of the Algorithms for Intelligent Systems book series (AIS)

Abstract

A mixed method for model order reduction of a linear, single-input single-output system is presented. The denominator of the original system is reduced by using the residue of a pole in modified pole clustering techniques. The differential method has been used for reducing the numerator of a higher order transfer function. Then the result has been compared with original and reduction techniques without a change of stability.

Keywords

Model order reduction Differential method Residue of poles Pole clustering Modified pole clustering Integral square error 

References

  1. 1.
    Shamash Y (1974) Stable reduced order model using padè type approximations. IEEE Trans Autom Control 19:615–616CrossRefGoogle Scholar
  2. 2.
    Parthasarathy R, Jayasimhaj KN (1982) System reduction using stability-equation method and modified cauer continued fraction. Proc IEEE 70(10)CrossRefGoogle Scholar
  3. 3.
    Gupta MK, Kumar A (2016) Model order reduction using Chebyshev polynomial, stability equation and Fuzzy C-means clustering. i-manager’s J Instrum Control Eng 4(2)Google Scholar
  4. 4.
    Gupta MK (2017) Performance analysis and Com. of reduced order systems using Chebyshev polynomial, improved pole clustering and FCM clustering techniques. Int J Sci Res 6(5)Google Scholar
  5. 5.
    Bistritz Y, Langholz G (1979) Model reduction by Chebyshev polynomial techniques. IEEE Trans Autom Control 24(5):741–747CrossRefGoogle Scholar
  6. 6.
    Singh D, Gujela OP (2015) Performance analysis of time moments, Markov’s Parameters and Eigen Spectrum using matching moments. Int J Innov Res Comput Commun Eng 3(3)Google Scholar
  7. 7.
    Singh V, Chandra D, Kar H (2004) Improved routh pade approximants: a computer aided approach. IEEE Trans Autom Control 49(2):292–296MathSciNetCrossRefGoogle Scholar
  8. 8.
    Sambariya DK, Manohar H (2016) Preservation of stability for reduced order model of large scale system using differentiation method. Br J Math Comput Sci 13(6). ISSN 2231–0851CrossRefGoogle Scholar
  9. 9.
    Kumar A, Chandra D (2013) Improved padè pole clustering approximant. In: International conference on computer science and electronics engineeringGoogle Scholar
  10. 10.
    Sinha K, Pal J (1990) Simulation based reduced order modeling using a clustering techniques. Comput Electr Engg 16(3):159–169CrossRefGoogle Scholar
  11. 11.
    Sai Dinesh N, Siva Kumar M, Srinivasa Rao D (2013) Order reduction of discrete time system using modified pole clustering technique. Int J Eng Res Appl 3:565–569Google Scholar
  12. 12.
    Kumar V, Tiwari JP (2012) Order reducing of linear system using clustering method factor division algorithm. IJAIS 3(5)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Maneesh Kumar Gupta
    • 1
  • Rajnish Bhasker
    • 1
  1. 1.Electrical Engineering DepartmentUNSIET, VBS Purvanchal UniversityJaunpurIndia

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