A time moments approach to the design of robust fractional PID controllers

International Multi-Conference on Systems, Signals and Devices, SSD'11 - Summary Proceedings

Volumn , Issue , 2011, Pages

  Tenoutit, M ^a   Maamri, N ^a   Trigeassou, J C ^b  

^a Ecole Nationale Superieure de   (France)

^b UNIVERSITÉ BORDEAUX 1   (France)

Author keywords

Fractional PID controllers; reference model; robustness to gain variations; time delay systems; time moments

Indexed keywords

PID CONTROLLERS; REFERENCE MODEL; ROBUSTNESS TO GAIN VARIATIONS; TIME DELAY SYSTEMS; TIME MOMENTS;

CONTROLLERS; ELECTRIC CONTROL EQUIPMENT; METHOD OF MOMENTS; MODELS; NUMERICAL ANALYSIS; PROPORTIONAL CONTROL SYSTEMS; TWO TERM CONTROL SYSTEMS;

THREE TERM CONTROL SYSTEMS;

EID: 79957901094     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SSD.2011.5767439     Document Type: Conference Paper

References (19)

1. C. A. Monje, Y. Q. Chen, B. M. Vinagre, D. Xue, and V. Feliu, Fractional-order Systems and Controls Fundamentals and Applications, Advances in Industrial Control, 2010.
2. A. Oustaloup, P. Melchior, P. Lanusse, O. Cois, and F. Dancla, "The CRONE toolbox for Matlab", in 11th IEEE International Symposium on Computer-Aided Control System Design, vol. 1, pp. 113-121, 2000.
3. I. Podlubny, "Fractional-order systems and PID-controllers", in IEEE Transactions on Automatic Control, vol. 44, pp. 208-213, 1999.
4. P. M. Vinagre, I. Podlubny, L. Dorcak, and V. Feliu, "On fractional PI controllers: a frequency domain approach", in IFAC Workshop, pp. 53-58. Terrasa, Spain. april, 2000.
5. C. A. Monje, A. J. Calderon, B. M. Vinagre, Y. Chehn, and V. Feliu, "On fractional PIa controllers: Some tuning rules for robustness to plant uncertainties", in Nonlinear Dynamics, vol. 38, pp. 369-381, 2004. (Pubitemid 40400627)
6. C. Zhao, D. Xue, and Y. Q. Chen, "A fractional order PID tuning algorithm for a class of fractional order plants", in IEEE International Conference on Mechatronics and Automation, ICMA'05, pp. 216-221. Niagara, Canada, 2005. (Pubitemid 41585407)
7. D. Valério and J. SáDa Costa, "Tuning of fractional PID controllers with Ziegler-Nichols-type rules", in Signal Processing, vol. 86, pp. 2771-2784, 2006.
8. Y. Luoa, Y. Q. Chenc, C. Y. Wangc, and Y. G. Pi, "Tuning fractional order proportional integral controllers for fractional order systems", in Journal of Process Control, vol. 20, pp. 823-831, 2010.
9. th I FAC Workshop on Fractional Differentiation and Its Applications, FDA'10. Badajoz, Spain, 2010.
10. A. Narang, S. L. Shah, and T. Chen, "Tuning of fractional PI controllers for fractional order system models with and without time delays", in American Control Conference, ACC'10. Marriott Waterfront, Baltimore, MD, USA, 2010.
11. th I FAC Workshop on Fractional Differentiation and Its Applications, FDA'10. Badajoz, Spain, 2010.
12. N. Maamri, "Identification et commande des systémes à représentation continue par la méthode des moments", in Thése de Doctorat, Université de Poitiers, 1991.
13. J-C. Trigeassou, "Une méthode de réglage des régulateurs PID", in Revue Automatisme, mars/avril, 1978.
14. J. C. Trigeassou, "La méthode des moments en automatique", in CIFA, Lille, 2000.
15. E. Etien, J-D. Gabano, N. Maamri, and J. C. Trigeassou, "Les moments fréquentiels: application à l'identification, à la réduction de modèles et à la synthèse de correcteurs", in Conférence Internationale Francophone d'Automatique (CIFA), Lille, France, Juillet, 2000.
16. H. W. Bode, Network Analysis and Feedback Amplifier Design, D. Van Nostrand, Princeton, NJ, 1945.
17. S. Manabe, "The non integer integral and its application to control systems", in Journal of the Institute of Electrical Engineers of Japan, pp. 589-597. May, 1960.
18. J-C. Trigeassou, T. Poinot, J. Lin, A. Oustaloup, and F. Levron, "Modeling and identification of a non integer order system", in European Control Conference, Karlsruhe, 4Allemagne, 1999.
19. A. Oustaloup, "La dérivation non entière: théorie, synthèse et applications", in Hermès Editeur, Paris, 1995.