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http://dx.doi.org/10.5207/JIEIE.2012.26.2.034

A System Modeling and Controller Design Method Using Discrete Fourier Transform  

Shim, Kwan-Shik (전남대학교 공업기술연구소)
Ahn, Hyun-Jin (전남대학교 대학원 전기공학과)
Nam, Hae-Kon (전남대 전기공학과)
Lim, Yeong-Chul (전남대학교 전기공학과)
Kim, Eui-Sun (신경대학교 인터넷정보통신학과)
Publication Information
Journal of the Korean Institute of Illuminating and Electrical Installation Engineers / v.26, no.2, 2012 , pp. 34-43 More about this Journal
Abstract
This paper describes system modeling and controller design method in the measured signal by discrete Fourier transform. Transfer function of the second order system is estimated by the dominant parameter which is computed in the magnitude and the phase of Fourier spectrum of the measured signal. In addition, the controller was designed by the estimated transfer function, and the results were compared. The proposed estimation method of transfer function contains only a very simple mathematical process. Therefore, it is effective to design the controller in the measured signal when the output of the system contains the characteristics of complex exponential functions case. The proposed method was applied on Op-Amp system to verify the efficiency and the reliability. The results show that the proposed algorithms are highly applicable to the system modeling and controller design in the measured data.
Keywords
System Identification; Fourier Transform; Parameter; Estimation; Modeling; Control Design;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 L. L. Scharf, Statistical Signal Processing:Detection, Estimation, and Time Series Analysis, Addison-Wesley Publishing Company, New York, 1991.
2 심관식, 남해곤, "이산푸리에변환과 시계열데이터의 고속 파라미터 추정", 대한전기학회논문지, Vol.55A, No.7, pp. 265-272, 2006.   과학기술학회마을
3 김은주, 심관식, 김용구, 김의선, 남해곤, 임영철, "광역계통의 실시간 해석을 위한 고속 저주파수 파라미터 추정", 대한전기학회논문지, Vol.58, No.6, pp.1078-1086, 2009.
4 J. F. Hauer, C. J. Demeure, L. L. Scharf, "Initial Results in Prony Analysis of Power System Response Signals," IEEE Trans. on Power Systems, Vol. 5, pp.80-89, Aug. 1990.   DOI   ScienceOn
5 P. A. Lynn, W. Fuerst, Introductory Digital Signal Processing, John Wiley & Sons, Inc., New York, 1998.
6 신윤기, 자동제어 2판, 인터비젼, 2009.
7 B. C. Kuo, F. Golnaraghi, Automatic Control Systems 9/E, John Wiley & Sons, Inc., 2010.
8 P. Van Overschee, B. De Moor, "N4SID: Subspace Algorithms for The Identification of Combined Deterministic and Stochastic Systems," Automatica, Vol. 30, No. 1, pp. 75-93, 1994.   DOI   ScienceOn
9 P. Van Overschee, B. De Moor, "Subspace Algorithm for the Stochastic Identification Problem," Automatica, Vol. 29, No. 3, pp 649-660, 1993.   DOI   ScienceOn
10 L. Ljung, System Identification:Theory for the User, Prentice-Hall PTR, New Jersey, 1999.
11 T. Soderstrom, P. Stoica, System Identification, Prentice-Hall, 1989.
12 L. Ljung, "On The Estimation of Transfer Functions," Automatica, vol. 21, no 6, pp. 677-696, 1985.   DOI   ScienceOn