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http://dx.doi.org/10.5207/JIEIE.2008.22.1.118

A Transfer Function Synthesis for Model Approximation with Resonance Peak Value  

Kim, Jong-Gun (충주대학교 전기공학과)
Kim, Ju-Sik (충주대학교 전기공학과)
Kim, Hong-Kyu (충주대학교 전기공학과)
Publication Information
Journal of the Korean Institute of Illuminating and Electrical Installation Engineers / v.22, no.1, 2008 , pp. 118-123 More about this Journal
Abstract
This paper proposes a frequency transfer function synthesis for approximating a high-order model with resonance to a low-order model in the frequency domain. The presented model approximation method is based on minimizing the error function weighted by the numerator polynomial of approximated models, which is used of the RLS(Recursive Least Square) technique to estimate the coefficient vector of approximated models. The proposed method provides better fitting in a low frequency and peak resonance. And an example is given to illustrate feasibilities of the suggested schemes.
Keywords
Approximation; Frequency transfer function synthesis; RLS(Recursive Least Square);
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 T. C. Hsia, 'On the Simplification of Linear Systems', IEEE Trans. Auto. Cont., vol. AC-17, pp. 372-374, 1972
2 김종근, '주파수 전달함수 합성법에 의한 모델축소 및 PID 제어기 설계', 공학박사학위논문, 2005
3 B. C. Moore, 'Principal Component Analysis in Linear Systems : Controllability, Observability and Model Reduction', IEEE Trans. on Auto. Cont, vol. 26, no. 1, pp. 17-32, 1981   DOI
4 M. G. Safonov and R. Y. Chiang, 'A Schur Method for Balanced-Truncation Model Reduction', IEEE Trans. on Auto. Cont, vol. 34, no. 7, pp. 729-733, 1989   DOI   ScienceOn
5 T. K. Moon and W. C. Stirling, Mathematical Methods and Algorithms for Signal Processing, Prentice Hall, 2000
6 H. Xiheng, 'FF-Pade Method of Model Reduction in Frequency Domain', IEEE Trans. Auto. Cont., vol. AC-32, no. 3, pp. 243-246, 1987
7 V. Krishnamurthy and V. Seshadri, 'Model Reduction Using the Routh Stability Criterion', IEEE Trans. Auto. Cont., vol. AC-23, no. 4, pp. 729-731, 1978
8 Y. Choo, 'Direct Method for obtaining Modified Routh Approximants', IEE Electron. Lett., vol. 35, no. 19, pp. 1627-1628, 1999   DOI   ScienceOn
9 C. K. Sanathanan and J. Koerner, 'Transfer Function synthesis as a Ratio of two Complex Polynomials', IEEE Trans. on Auto. Cont, pp.56-58, 1963
10 R. Luus, 'Optimization in Model Reduction', Int. J. Control, vol. 32, no. 5, pp. 741-747, 1980   DOI   ScienceOn
11 M. F. Hutton and B. Friedland, 'Routh Approximations for Reducing Order of Linear, Time-Invariant Systems', IEEE Trans. Auto. Cont., vol. AC-20, no. 3, pp. 329-337, 1975
12 Y. Shamash, 'Stable Reduced-Order Models Using Padé-Type Approximation', IEEE Trans. Auto. Cont., vol. AC-19, pp. 615-616, 1974
13 C. F. Chen and L. S. Shieh, 'Continued Fraction Inversion by Routh's Algorithm', IEEE Trans. on Circuit Theory, vol. 16, no. 2, pp. 197-202, 1969   DOI
14 Matlab Robust Control Toolbox, Ver.6.0
15 J. S. Kim, J. G. Kim and J. W. Ryu, 'A Model Reduction with Time Delay in Frequency Domain', KIIEE, vol. 18, no. 6, pp.176-182, 2004
16 W. Krajewski, A. Lepschy, and U. Viaro, 'Model Reduction by Matching Markov Parameters, Time Moments, and Impulse-Response Energies', IEEE Trans. Auto. Cont., vol. AC-40, no. 5, pp. 949-953, 1995
17 R. Pintelon, P. Guillaume, Y. Rolain, J. Schoukens and H. Van hamme, 'Parametric Identification of transfer functions in the frequency Domain - A Survey', IEEE Trans. on Auto. Cont, vol. 39, no. 11, pp. 2245-2260, 1994   DOI   ScienceOn
18 C. S. Hsieh and C. Hwang, 'Model Reduction of Continuous-Time Systems Using a Modified Routh Approximation Method', IEE Proc. Control Theory Appl., vol. 136, no. 4, pp. 151-156, 1989
19 A. S. S. R. Reddy, 'A Method for Frequency Domain Simplification of Transfer Functions', Int. J. Control, vol. 23, no. 3, pp. 403-408, 1976   DOI   ScienceOn
20 M. T. Jong and K. S. Shanmugam, 'Determination of a Transfer Function from Amplitude Frequency Data', Int. J. Cont., vol. 25, no. 6, pp. 941-948, 1977   DOI   ScienceOn