Browse > Article

A Model Reduction and PID Controller Design Via Frequency Transfer Function Synthesis  

Kim, Ju-Sik (특허청 전기전자심사국)
Kwang, Myung-Shin (중소기업청)
Kim, Jong-Gun (충북대 전기공학과)
Jeon, Byeong-Seok (충북대 전기공학과)
Jeong, Su-Hyun (대원과학대학 전기과)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers P / v.54, no.1, 2005 , pp. 34-40 More about this Journal
Abstract
This paper presents a frequency transfer function synthesis for simplifying a high-order model with time delay to a low-order model. A model reduction is based on minimizing the error function weighted by the numerator polynomial of reduced systems. The proposed method provides better low frequency fit and a computer aided algorithm. And in this paper, we present a design method of PID controller for achieving the desired specifications via the reduced model. The proposed method identifies the parameter vector of PID controller from a linear system that develops from rearranging the two dimensional input matrices and output vectors obtained from the frequency bounds.
Keywords
model reduction; PID controller; frequency transfer function synthesis; total least square;
Citations & Related Records
연도 인용수 순위
  • Reference
1 W. K. Ho, O. P. Gan, E. B. Tay, and E. L. Ang, 'Performance and Gain and Phase Margins of Wellknown PID Tuning Formulas', IEEE Trans. on Contr. Syst, Technol., vol. 4, no. 4, pp. 473-477, 1996   DOI   ScienceOn
2 Q. G. Wang, T. H. Lee, H. W Fung, Q. Bi and Y. Zhang, 'PID Tuning for Improved Performance', IEEE Trans. on Contr. Syst, Technol., vol. 7, no. 4, pp. 457-465, 1999   DOI   ScienceOn
3 A. H. Whitfield, 'Transfer Function Synthesis using Frequency Response Data', Int J Cont. vol. 43, pp. 1413-1426, 1986   DOI   ScienceOn
4 S. Van Huffel and J. Vandewalle, The Total Least Squares Problem Computational Aspects and Analysis, SIAM, 1991
5 T. K. Moon and W. C. Stirling, Mathematical Methods and Algorithms for Signal Processing, Prentice Hall, 2000
6 W. K. Ho, C. C. Hang, and L. S. Cao, 'Tuning of PID Controllers based on Gain and Phase Margin Specifications', Automatica, vol. 31, no. 3, pp. 497-502, 1995   DOI   ScienceOn
7 조준호, 김정철, 김진권, 최정내, 황형수, '주파수 영역에서 Nyquist 선도를 이용한 모델 축소', 제어.자동화.시스템공학 논문지, 제 8권, 제 6호, pp. 439-444, 2002
8 최정내, 조준호, 이원혁, 황형수, '축소모델을 이용한 최적화된 Smith Predictor 제어기 설계', 전기학회 논문지, 제 52권, 제11호, pp. 619-625, 2003
9 K. J. Astrom and T. Hagglund, 'Automatic Tuning of Simple Regulators with Specifications on Phase and Amplitude Margins', Automatica, vol. 20, no. 5, pp. 645-651, 1984   DOI   ScienceOn
10 K. J. Astrom and T. Hagglund, PID Controllers : Theory, Design, and Tuning, Instrument Society of America, 1995