Asymptotic Rejection of Periodic Disturbances With Fixed or Varying Period

[+] Author and Article Information
Shiang-Hwua Yu, Jwu-Sheng Hu

Department of Electrical and Control Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu, Taiwan 300

J. Dyn. Sys., Meas., Control 123(3), 324-329 (Jul 26, 2000) (6 pages) doi:10.1115/1.1389309 History: Received July 26, 2000
Copyright © 2001 by ASME
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Hara,  S., Yamamoto,  Y., Omata,  T., and Nakano,  M., 1988, “Repetitive Control System: A New Servo System for Periodic Exogenous Signals,” IEEE Trans. Autom. Control, 33, No. 7, pp. 659–667.
Tomizuka,  M., Tsao,  T. C., and Chew,  K. K., 1989, “Discrete-time Domain Analysis and Synthesis of Repetitive Controllers,” ASME J. Dyn. Syst., Meas., Control, 111, No. 3, pp. 353–358.
Tsao, T. C., and Tomizuka, M., 1988, “Adaptive and Repetitive Digital Control Algorithms for Noncircular Machining,” in Proc. American Control Conference, Atlanta, GA, pp. 115–120.
Chew, K. K., and Tomizuka, M., 1990, “Digital Control of Repetitive Errors Disk Drive Systems,” IEEE Control Syst. Mag., pp. 16–20.
Hu,  J. S., Yu,  S. H., and Huang,  S. C., 1998, “Optimal MISO Repetitive Control System Design Using Mixed Time and Frequency Domain Criteria,” ASME J. Dyn. Syst., Meas., Control, 120, pp. 103–110.
Hu, J. S., 1992, “Variable Structure Digital Repetitive Controller,” Proc. American Control Conference, Chicago, IL. pp. 2686–2690.
Tsao,  T. C., Qian,  Y. X., and Nemani,  M., 2000, “Adaptive Repetitive Control Schemes for Asymptotic Tracking of Periodic Signals with Unknown Period,” ASME J. Dyn. Syst., Meas., Control, 122, June, pp. 364–369.
Chaplin, G. B. B., and Smith, R. A., 1983, “Waveform Synthesis: the Essex Solution to Repetitive Noise and Vibration,” Proc. Inter Noise, pp. 399–402.
Akhiezer, N. I., and Glazman I. M., 1963, Theory of Linear Operators in Hilbert Space, Vol. I, Frederick Ungar, New York.
Doyle, J. C., Francis, B. A., and Tannenbaum, A. R., 1992, Feedback Control Theory, Macmillan, NY.
Gohberg, I., and Goldberg, S., 1980, Basic Operator Theory, Birkhäuser Boston.
Hu, J. S., Yu, S. H., and Hsieh, C. S., 1995, “On the Design of Digital Repetitive Controller Using I2 and H Optimal Criteria,” American Control Conference, Seattle, USA.
Schafer,  R. W., and Rabiner,  L. R., 1973, “A Digital Signal Processing Approach to Interpolation,” Proc. IEEE, 61, No. 6.
Laakso,  T. I., Välimäki,  V., Karjalainen,  M., and Laine,  U. K., 1996, “Splitting the Unit Delay,” IEEE Signal Process. Mag., 13, pp. 30–60.
Yu, S. H., and Hu, J. S., 2001, “Optimal Synthesis of a Fractional Delay FIR filter in a Reproducing Kernel Hilbert Space,” to appear in IEEE Signal Process. Lett.


Grahic Jump Location
A classical disturbance rejection problem
Grahic Jump Location
A discrete-time repetitive control system
Grahic Jump Location
Frequency response of the lowpass delay filter D (the gray line in the phase diagram is the desired phases)
Grahic Jump Location
An active noise cancellation system
Grahic Jump Location
Frequency response of the plant P(z)
Grahic Jump Location
Frequency response of the lowpass delay filter D(z) (the gray line in the phase diagram is the desired phases)
Grahic Jump Location
Magnitude response of C(e)P(e) (above) and D(e)(1−C(e)P(e)) (below)
Grahic Jump Location
The cancellation error signals (above: the integer delay tuning method; below: the fractional delay tuning method).




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