A fractional order PID tuning algorithm for a class of fractional order plants

IEEE International Conference on Mechatronics and Automation, ICMA 2005

Volumn , Issue , 2005, Pages 216-221

  Zhao, Chunna ^a   Xue, Dingyü ^a   Chen, YangQuan ^b  

^a NORTHEASTERN UNIVERSITY   (China)

^b Utah State University   (United States)

Author keywords

Fractional order calculus; Fractional order controller; Fractional order systems; PI D controller

Indexed keywords

ALGORITHMS; CONTROL EQUIPMENT;

FRACTIONAL ORDER CALCULUS; FRACTIONAL ORDER CONTROLLERS; FRACTIONAL ORDER PLANTS; FRACTIONAL ORDER SYSTEMS;

THREE TERM CONTROL SYSTEMS;

EID: 27744475087     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. K.B. Oldham and I. Spanier, The Fractional Calculus, Academic Press, New York and London, 1974.
2. M. Axtell and M.E. Bise, "Fractional calculus applications in control systems," the IEEE National Aerospace and Electronics Conference, New York, USA, pp. 563-566, 1990.
3. N. Engheta, "On fractional calculus and fractional multipoles in lectromagnetism," IEEE Trans. Antennas Propagat, vol. 44, pp. 554-566, 1996.
4. M. Unser and T. Blu, "Wavelet theory demystified," IEEE Trans. Signal Processing, vol. 51, pp. 470-483, 2003.
5. μ -controllers," IEEE Trans. Automatic Control, vol. 44, pp. 208-214, 1999.
6. W.K. Ho, K.W. Lim, and W. Xu, "Optimal gain and phase margin tuning for PID controllers," Automatica, Vol.34, No.8, pp.1009-1014, 1998.
7. Z.F. Lv, "Time-domain simulation and design of SISO feedback control systems", Doctoral Dissertation, National Cheng Kung University, 2004, Taiwan, China.
8. R. Caponetto, L. Fortuna, and D. Porto, "A new tuning strategy for a non integer order PID controller," IFAC2004, Bordeaux, France, 2004.
9. μ Tuning", The First IFAC Symposium on Fractional Differentiation and its Applications 2004, Bordeaux, France, July 19-20, 2004.
10. Dingyü and YangQuan Chen, "A Comparative Introduction of Four Fractional Order Controllers". Proc. of The 4th IEEE World Congress on Intelligent Control and Automation (WCICA02), June 10-14, 2002, Shanghai, China, pp. 3228-3235.
11. YangQuan Chen, Dingyu Xue, and Huifang Dou. "Fractional Calculus and Biomimetic Control". IEEE Int. Conf. on Robotics and Biomimetics (RoBio04), August 22-25, Shengyang, China. (PDF-robio2004-347)
12. C. B. Ma and Y. Hori, "Design of fractional order PID controller for robust two-inertia speed control to torque saturation and load inertia variation," IPEMC 2003, Xi'an, China.
13. Dingyü and YangQuan Chen, "Advanced Mathematic Problem Solution Using MATLAB" (in Chinese, ISBN 7-302-09311-3/0.392), Beijing: Tsinghua University Press, 2004.
14. I. Podlubny, "Fractional-order Systems and Fractional-order Controllers", The Academy of Sciences Institute of Experimental Physics, UEF-03-94, Kosice, Slovak Republic, 1994.
15. A. Oustaloup, F. Levron, B. Mathieu, and P.M. Nanot, "Frequency-band complex noninteger differentiator: characterization and synthesis," IEEE Trans. Circuits Syst. I, vol. 47, pp. 25-39, 2000.
16. μ -controllers", Proc. of the 36th IEEE CDC, San Diego, 1999.
17. K. J. Åström and T. Hägglund, PID Controllers: Theory, Design and Tuning, Research Triangle Park, Instrument Society of America, 1995.