A fractional order proportional and derivative (FOPD) motion controller: Tuning rule and experiments

IEEE Transactions on Control Systems Technology

Volumn 18, Issue 2, 2010, Pages 516-520

  Li, Hongsheng ^a   Luo, Ying ^b   Chen, Yangquan ^c  

^a NANJING INSTITUTE OF TECHNOLOGY   (China)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^c Utah State University   (United States)

Author keywords

Fractional calculus; Fractional order controller (FOC); Gain variations; Iso damping; PI D controller; Second order plant

Indexed keywords

FRACTIONAL CALCULUS; FRACTIONAL-ORDER CONTROLLERS; GAIN VARIATIONS; ISO-DAMPING; SECOND ORDERS;

CLOSED LOOP SYSTEMS; CONTROL THEORY; DAMPING; TUNING;

CONTROLLERS;

EID: 77649184282     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2009.2019120     Document Type: Article

References (13)

1. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations. New York: Wiley, 1993.
2. μ controller," IEEE Trans. Autom. Control, vol. 44, no. 1, pp. 208-214, Jan. 1999.
3. B. J. Lurie, "Three-parameter tunable tilt-integral-derivative (TID) controller," U.S. Patent US5371670, Dec. 6, 1994.
4. A. Oustaloup, X. Moreau, and M. Nouillant, "The CRONE suspension," Control Eng. Practice, vol. 4, no. 8, pp. 1101-1108, 1996.
5. A. Oustaloup, P. Melchoir, P. Lanusse, C. Cois, and F. Dancla, "The CRONE toolbox for MATLAB," presented at the 11th IEEE Int. Symp. Comput.-Aided Control Syst. Des., Anchorage, CA, Sep. 2000.
6. D. Xue, C. Zhao, and Y. Q. Chen, "Fractional order PID control of a dc-motor with elatic shaft: A case study," in Proc. Amer. Control Conf. (ACC), 2006, pp. 3182-3187.
7. I. Podlubny, I. Petras, B. M. Vinagre, P. O'Leary, and L. Dorcak, "Modern control systems," Analogue Realizations of Fractional-Order Controllers, vol. 29, no. 1-4, pp. 281-296, 2002.
8. J. G. Ziegler and N. B. Nichols, "Optimum settings for automatic controllers," Trans. ASME, vol. 64, pp. 759-768, 1942.
9. μ-tuning," presented at the 1st IFAC Symp. Fractional Differentiation Its Appl. (FDA), Bordeaux, France, 2004.
10. C. Zhao, D. Xue, and Y. Q. Chen, "A fractional order PID tuning algorithm for a class of fractional order plants," in Proc. ICMA, Niagara, Canada, 2005, pp. 216-221.
11. Y. Tarte, Y. Chen, W. Ren, and K. Moore, "Fractional horsepower dynamometer - A general purpose hardware-in-the-loop real-time simulation platform for nonlinear control research and education," in Proc. IEEE Conf. Dec. Control, Dec. 2006, pp. 3912-3917.
12. A. Oustaloup, J. Sabatier, and P. Lanusse, "From fractional robustness to CRONE control," Fractional Calculus Appl. Anal, vol. 2, no. 1, pp. 1-30, 1999.
13. R. C. Dorf and R. H. Bishop, Modern Control Systems. Upper Saddle River, NJ: Pearson Prentice Hall, 2005, pp. 270-278.