A robust tuning method for fractional order PI controllers

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 2, Issue PART 1, 2006, Pages 22-27

  Chen, YangQuan ^a   Dou, Huifang ^a   Vinagre, Blas M ^b   Monje, Concha A ^b  

^a Utah State University   (United States)

^b UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Bode's integral; Flat phase condition; Fractional order controller; iso damping property; Relay feedback test

Indexed keywords

APPLICATION PROGRAMS; BODE DIAGRAMS; CLOSED LOOP SYSTEMS; CONTROLLERS; DAMPING; ITERATIVE METHODS; RELAY CONTROL SYSTEMS; THREE TERM CONTROL SYSTEMS;

BODE'S INTEGRAL; FLAT PHASE CONDITION; FRACTIONAL-ORDER CONTROLLERS; ISO-DAMPING PROPERTY; RELAY FEEDBACK TEST;

FEEDBACK;

EID: 79961119315     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060719-3-pt-4902.00003     Document Type: Conference Paper

References (12)

1. Bode, H. W. (1945). Network Analysis and Feedback Amplifier Design. Van Nostrand. New York.
2. Chen, Y. Q. and K. L. Moore (2002). Discretization schemes for fractional-order differentiators and integrators. IEEE Trans. Circuits Syst. I 49, 363-367.
3. Chen, Y. Q., C. H. Hu and K. L. Moore (2003). Relay feedback tuning of robust PID controllers with iso-damping property. In: Proceedings of The 42nd IEEE Conference on Decision and Control. Hawaii.
4. Karimi, A., D. Garcia and R. Longchamp (2002). PID controller design using Bode's integrals. In: Proceedings of the American Control Conference. Anchorage, AK. pp. 5007-5012.
5. Manabe, S. (1961). The non-integer integral and its application to control systems. ETJ of Japan 6(3-4), 83-87.
6. Oustaloup, A., B. Mathieu and P. Lanusse (1995). The crone control of resonant plants: Application to a flexible transmission. Eur. J. Contr.
7. Oustaloup, A., F. Levron, F. Nanot and B. Mathieu (2000). Frequency band complex non integer differentiator: Characterization and synthesis. IEEE Trans. Circuits Syst. I 47, 25-40.
8. Oustaloup, A., X. Moreau and M. Nouillant (1996). The crone suspension. Control Eng. Pract. 4(8), 1101-1108.
9. μ-controllers. IEEE Trans. Automatic Control 44(1), 208-214.
10. Raynaud, H. F. and A. Zergaïnoh (2000). State-space representation for fractional order controllers. Automatica 36(7), 1017-1021.
11. Vinagre, Blas M. and YangQuan Chen (2002). Lecture note on fractional calculus applications in automatic control and robotics. In: The 41st IEEE CDC2002 Tutorial Workshop # 2 (Blas M. Vinagre and YangQuan Chen, Eds.). Las Vegas, Nevada, USA. pp. 1-310. [Online] http://mechatronics.ece.usu.edu/foc/ cdc02 tw2 ln.pdf.
12. d ratio. Asian Journal of Control 4(4), 403-409.