Adaptive output regulation for the rejection of a periodic disturbance with an unknown frequency

IEEE Transactions on Control Systems Technology

Volumn 19, Issue 5, 2011, Pages 1296-1304

  Kim, Wonhee ^a   Kim, Hyungjong ^b   Chung, Chung Choo ^a   Tomizuka, Masayoshi ^c  

^a Hanyang University   (South Korea)

^b Seoul National University   (South Korea)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Adaptive algorithm; disturbance rejection; output regulation; singular perturbation method

Indexed keywords

ADAPTIVE OUTPUT; COMPACT SETS; FREQUENCY ADAPTATION; INTERNAL MODEL PRINCIPLE; OPTICAL DISK DRIVES; OUTPUT REGULATION; PERIODIC DISTURBANCES; SINGULAR PERTURBATION METHOD; SINUSOIDAL DISTURBANCES;

CONTROLLERS; DISTURBANCE REJECTION; PERTURBATION TECHNIQUES;

ADAPTIVE ALGORITHMS;

EID: 80051871926     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2010.2066276     Document Type: Article

References (24)

1. M. Bodson, J. S. Jensen, and S. C. Douglas, "Active noise control for periodic disturbances," IEEE Trans. Autom. Control, vol. 9, no. 1, pp. 200-205, Jan. 2001. (Pubitemid 32191138)
2. S. C. Huang and K. A. Lin, "Vibration characteristics of computer stacked disks and head assembly," J. Mech. Sci. Technol., vol. 22, no. 3, pp. 460-468, 2008.
3. W. Kim, W. S. Kim, and J. Chang, "Optimal disk clamp design to minimize stress variation of disks in a hard drive," J. Mech. Sci. Technol., vol. 23, no. 10, pp. 2645-2651, 2009.
4. B. A. Francis and W. M. Wonham, "The internal model principle of control theory," Automatica, vol. 12, no. 5, pp. 457-465, 1976.
5. S. Hara, Y. Yamamoto, T. Omata, and M. Nakano, "Repetitive control system: A new type servo system for periodic exogenous signals," IEEE Trans. Autom. Control, vol. 33, no. 7, pp. 56-62, Jul. 1988.
6. C. Kempf, W. Messner,M. Tomizuka, and M. Horowitz, "Comparison of four discrete-time repetitive control algorithms," IEEE Control Syst. Mag., vol. 13, no. 6, pp. 48-54, Dec. 1993.
7. M. Bodson, A. Sacks, and P. Khosla, "Harmonic generation in adaptive feedforward cancellation schemes," IEEE Trans. Autom. Control, vol. 39, no. 9, pp. 1939-1944, Sep. 1994.
8. W. Messner and M. Bodson, "Design of adaptive feedforward controllers using internal model equivalence," in Proc. Amer. Control Conf., 1994, pp. 1619-1623.
9. B. A. Francis, "The linear multivariable regulator problem," SIAM J. Control Opt., vol. 14, pp. 486-505, 1977.
10. H. Shim, H. Kim, and C. C. Chung, "Design and experiment of add-on track following controller for optical disc drives based on robust output regulation," in Proc. Amer. Control Conf., 2004, pp. 1829-1835.
11. H. G. M. Dötch, H. T. Smakman, P. M. J. van den Hof, and M. Steinbuch, "Adaptive repetitive control of a compact disc mechanism," in Proc. Conf. Dec. Control, 1995, pp. 1720-1725.
12. M. Steinbuch, "Repetitive control for systems with uncertain periodtime," Automatica, vol. 38, no. 12, pp. 2103-2109, Dec. 2002. (Pubitemid 35276211)
13. M. Bodson and S. C. Douglas, "Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency," Automatica, vol. 33, no. 12, pp. 2213-2221, Dec. 1997. (Pubitemid 127380287)
14. H. Elliot and G. C. Goodwin, "Adaptive implementation of the internal model principle," in Proc. Conf. Dec. Control, 1984, pp. 1292-1297.
15. J. Hu and H. Pota, "Adaptive narrow-band disturbance rejection for stable plants under robust stabilization framework," in Proc. IFAC World Congr., 2005, pp. 1-6.
16. M. Palaniswami, "Adaptive internal model for disturbance rejection and control," IEE Proc. D. Control Theory Appl., vol. 140, no. 1, pp. 51-59, Jan. 1993. (Pubitemid 23609383)
17. L. J. Brown and Q. Zhang, "Identification of periodic signals with uncertain frequency," IEEE Trans. Signal Process., vol. 51, no. 6, pp. 1538-1545, Jun. 2003.
18. L. Hui, C. Du, and Y.Wang, "A novel algorithm for unknown periodic disturbance cancellation in HDDs," in Proc. Int. Conf. Control, Autom., Robot. Vision, 2008, pp. 17-20.
19. M. Bodson, "Rejection of periodic disturbances of unknown and timevarying frequency," Int. J. Adapt. Control Signal Process., vol. 19, pp. 67-88, Mar. 2005. (Pubitemid 40384356)
20. P. Gahinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent Lyapunov functions and real parametric uncertainty," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 436-442, Mar. 1996. (Pubitemid 126767897)
21. H. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
22. V. L. Kharitonov, "Asymptotic stability of an equilibrium position of a family of linear differential equations," Differential Eq., vol. 14, no. 11, pp. 2086-2088, 1978.
23. P.Kokotovic, H. Khalil, and J. O'Reilly, SingularPerturbation Methods in Control: Analysis and Design. New York: Academic Press, 1986.
24. B. D. Riedle and P.Kokotovic, "Integral manifolds of slow adaptation," IEEE Trans. Autom. Control, vol. 31, no. 4, pp. 316-324, Apr. 1986.