Fractional order robust control and PIλDμ controllers

WSEAS Transactions on Circuits and Systems

Volumn 4, Issue 8, 2005, Pages 850-857

  Djouambi, Abdelbaki ^a   Charef, Abdelfatah ^b   Bouktir, Tarek ^a  

^a UNIVERSITY OF OUM EL BOUAGHI   (Algeria)

^b Universite Mentouri Constantine   (Algeria)

Author keywords

Fractal systems; Fractional feedback control; Robustness; Tuning

Indexed keywords

APPROXIMATION THEORY; AUTOMATION; COMPUTER SIMULATION; DAMPING; FEEDBACK CONTROL; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; MECHANICS; THREE TERM CONTROL SYSTEMS;

FRACTAL SYSTEMS; FRACTIONAL FEEDBACK CONTROL;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 24344436846     PISSN: 11092734     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. P.J. Tovik and R. T. Bagley, "On the appearance of the fractional derivative in the behavior of real materials," Transaction of the ASME, vol. 51, No.6 1984, pp. 294-298;
2. Van Der Ziel., "Unified presentation of 1/f noise in electronic devices: fundamental 1/f noise sources", Proceedings of IEEE, Vol 76, 1988, pp 233-258.
3. A. Oustaloup, F. levron, and B. Mathieu, "Frequency-band complex non integer differentiator: Characterization and synthesis" IEEE Trans. Circuit Syst. I., vol. 47, 2000, pp. 25-39.
4. A. Oustaloup, X. Moreau and M. Nouillant, "From fractal robustness to non integer approach in vibration insulation: the CRONE suspension " Proceeding of 36th Conference on Decision and control, California, USA, 1997, pp. 4979-4984.
5. A Oustaloup, "La commande CRONE" Edition Hermès, Paris, 1991.
6. Ramiro S. Barbosa, J. A. Tenreiro Machado and Isabel M. Ferreira "A Fractional Calculus Perspective of PID Tuning" Proceedings of DETC.03ASME 2003 Design Engineering Technical Conferences and Computers and Information in Engineering Conference Chicago, Illinois, USA, September 2-6, 2003
7. A. Scotti and S. G. Meneveau, "Fractal dimension of velocity signals in high- Reynolds-numbers hydrodynamic turbulence", Physical Review, vol 51, No 6, 1995, pp. 5594-5608.
8. A. Charef, H. H. Sun, Y. Y. Tsao, and B. Onaral, "Fractal Systems as Represented by Singularity Function" IEEE Trans. Vol. 37, No. 9, 1992, pp. 1465-1470.
9. A. Djouambi and A. Charef "Approximation optimale et synthèse d'un model d'ordre non entier," Proceeding of 1th International Conference on Electrical systems PCSE'05, Algéria, 2005, pp.370-374.