DOI QR코드

DOI QR Code

DIDF 방법을 이용한 주기성 외란의 제거

Periodic Disturbance Cancellation by using Dual-Input Describing Function (DIDF) Method

  • 최연욱 (부경대 제어계측공학과) ;
  • 이형기 (부경대 제어계측공학과)
  • 발행 : 2010.01.01

초록

The issue of rejecting periodic disturbances arises in various applications dealing with rotating machinery. A new method using DIDF (Dual-Input Describing Function) is presented for the rejection of periodic disturbances with uncertain frequency. This can be added to an existing feedback control system without altering the closed-loop system stability. The objective is to design a nonlinear compensator to secure specified oscillation amplitude and frequency which are the same as disturbances. We suggest two procedures to determine coefficients for DIDF's synthesis. The structure of the proposed DIDF is so simple that we can easily synthesize. A number of computer simulations were carried out to demonstrate the salient feature of the proposed DIDF compared to the conventional ones(that is, adaptive algorithms).

키워드

참고문헌

  1. M.D. Sidman, "Control system technology in digital disk drive," in Digital Technical Journal, 8, pp. 61 73, 1989
  2. M.C. Tsai and W.S. Yao, "Design of a plug in type repetitive controller for periodic inputs," in IEEE AC on Control Systems Technology, vol. 10, no.4, pp. 547 555, 2002 https://doi.org/10.1109/TCST.2002.1014674
  3. M. Bodson and S.C. Douglas, "Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency," in Automatica, vol. 33, no. 12, pp. 2213 2221, 1997 https://doi.org/10.1016/S0005-1098(97)00149-0
  4. L.J. Brown & Qing Zhang, "Periodic disturbance Cancellation with uncertain frequency," Automatica, vol. 40, pp 631 537, 2004 https://doi.org/10.1016/j.automatica.2003.10.024
  5. Yu-Lin Xu, "Using Adaptive Algorithm on Learning and rejection Quasi-Periodic Perturbation," Proc. of 3rd Int'I Conf. on Machine Learning & Cybernetics, Shanghai, pp. 26-29,2004
  6. T. H. Kandil et al., Adaptive feedforward cancellation of Sinusoidal disturbances in super conducting RF cavities," Nuclear Instruments & Methods in Physics Research, A550, pp. 514-520, 2005
  7. J. E. Gibson,Nonlinear Automatic Control, McGraw Hill Book Co., New York, NY, 1963
  8. J. C. West, J. L. Douce, and R. K. Livesley, "The dual input describing function and its use in the analysis of nonlinear feedback systems," Proc. lEE vol. 103B, pp.463 474, 1955
  9. A. Gelb and W.E. Vander Velde, "Multiple Input Describing Functions and Nonlinear System Design," McGraw Hill, 1965
  10. E. C. Servctas, "A Non Linear Electronic Compensator for Automatic Control Systems," IEEE Trans. on Industrial, Electronics and Control Instrumentation, vol. lECI 22, no.2, pp.201 208 (1975)