On fractional order disturbance observer

Proceedings of the ASME Design Engineering Technical Conference

Volumn 5 A, Issue , 2003, Pages 617-624

  Chen, YangQuan ^a,d   Vinagre, Blas M ^b   Podlubny, Igor ^c  

^a Utah State University   (United States)

^b UNIVERSITY OF EXTREMADURA   (Spain)

^c TECHNICAL UNIVERSITY OF KO ICE   (Slovakia)

^d UTAH STATE UNIVERSITY   (United States)

Author keywords

Disturbance observer; Fractional order calculus; Frequency domain fitting; Q filter; Rational approximation; Variable relative degree; Vibrational suppression

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; HARD DISK STORAGE; MATHEMATICAL MODELS; OBSERVABILITY; SERVOMECHANISMS; SYSTEM STABILITY;

DISTURBANCE OBSERVER; FRACTIONAL ORDER CALCULUS; Q-FILTER; VARIABLE RELATIVE DEGREE; VIBRATIONAL SUPPRESSION;

VIBRATION CONTROL;

EID: 1842785527     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/vib-48371     Document Type: Conference Paper

References (25)

1. Axtell, M. and E. M. Bise (1990). Fractional calculus applications in control systems. In: Proceedings of the IEEE 1990 Nat. Aerospace and Electronics Conf.. New York, USA. pp. 563-566.
2. Brussel, H. Van, C.-H. Chen and J. Swevers (1994). Accurate motion controller design based on an extended pole placement method and a disturbance observer. Ann. CIRP 43(1), 367772.
3. Chen, Yang Quan, Kian Keong Ooi, Ming Zhong Ding, Lee Ling Tan and Kok Tong Soh (2001). An efficient sensorless rotational vibration and shock compensator (RVSC) for hard disk drives with higher TPI. US PTO Published Patent Applications p. US20010036026.
4. Endo, S., H. Kobayashi, C. Kempf, S. Kobayashi, M. Tomizuka and Y. Hori (1996). Robust digital tracking controller design for high-speed positioning systems. Contr. Eng. Practice 4(4), 527535.
5. Franklin, G. F., J. D. Powell and M. L. Workman (1990). Digital Control of Dynamic Systems. Addison-Wesley. Reading, MA.
6. Kempf, Carl J. and Seiichi Kobayashi (1999). Disturbance observer and feedforward design for a high-speed direct-drive positioning table. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY 7(5), 513-526.
7. Lurie, Boris J. (1994). Three-parameter tunable tilt-integral-derivative (TID) controller. US Patent US5371670.
8. Manabe, S. (1960). The non-integer integral and its application to control systems. JIEE (Japanese Institute of Electrical Engineers) Journal 80(860), 589-597.
9. Manabe, S. (1961). The non-integer integral and its application to control systems. ETJ of Japan 6(3-4), 83-87.
10. Miller, K. S. and B. Ross (1993), An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley. New York.
11. Ohnishi, K. (1987). A new servo method in mechatronics. Trans. Japanese Soc. Elect. Eng.
12. Oldham, K. B. and J. Spanier (1974). The Fractional Calculus. Academic Press. New York.
13. Oustaloup, A. (1981). Fractional order sinusoidal oscilators: Optimization and their use in highly linear FM modulators. IEEE Transactions on Circuits and Systems 28(10), 1007-1009.
14. Oustaloup, A., B. Mathieu and P. Lanusse (1995). The CRONE control of resonant plants: application to a flexible transmission. European Journal of Control.
15. Oustaloup, A., X. Moreau and M. Nouillant (1996). The CRONE suspension. Control Engineering Practice 4(8), 1101-1108.
16. Petras, I., L. Dorcak, P. O'Leary, B. M. Vinagre and I. Podlubny (2000). The modelling and analysis of fractional-order control systems in frequency domain. In: Proceedings of ICCC'2000. High Tatras, Slovak Republic, pp. 261-264.
17. Petráš, I. and L. Dorčák (1999). The frequency method for stability investigation of fractional control systems. SACTA journal 2(1-2), 75-85.
18. th International BERG Conference. Kosice, Slovak Republic (in Slovak), pp. 119-119.
19. Podlubny, Igor (1994). Fractional-order systems and fractional-order controllers. Technical Report UEF-03-94. Slovak Academy of Sciences. Institute of Experimental Physics. Department of Contrlo Engineering. Faculty of Mining, University of Tecnology. Kosice.
20. μ-controllers. IEEE Trans. Automatic Control 44(1), 208-214.
21. Raynaud, H.F. and A. ZergaInoh (2000). State-space representation for fractional order controllers. Automatica 36, 1017-1021.
22. Samko, S. G., A. A. Kilbas and O. I. Marichev (1987). Fractional integrals and derivatives and some of their applications. Nauka i technika. Minsk.
23. Tomizuka, M. (1987). Zero-phase error tracking algorithm for digital control. ASME J. Dynamic Syst., Measurement, Contr. 109, 6568.
24. Umeno, T. and Y. Hori (1991). Robust speed control of dc servomotors using modern two degrees-of-freedom controller design. IEEE Trans. Ind. Electron. 38, 363-368.
25. Vinagre, Blas M. and YangQuan Chen (2002). Lecture Note on Fractional Calculus Applications in Automatic Control and Robotics. The 41st IEEE CDC2002 Tutorial Workshop # 2. http://mechatronics.ece.usu.edu/foc/cc02tw/cdrom/ lectures/book.pdf.