D. P. Atherton, Nonlinear Control Engineering-Describing Function Analysis and Design, IEEE Transactions on Systems, Man, and Cybernetics, vol.7, issue.9, 1982.
DOI : 10.1109/TSMC.1977.4309808

J. Brett, The Genesis of Torsional Drillstring Vibrations, SPE Drilling Engineering, pp.168-174, 1992.

C. Canudas-de-wit, J. Aracil, F. Gordillo, and F. Salas, The oscillations killer: a mechanism to eliminate undesired limit cycles in a class of nonlinear systems, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC'05, 2005.
DOI : 10.1002/rnc.2873

URL : https://hal.archives-ouvertes.fr/hal-00934086

C. Canudas-de-wit, M. A. Corchero, F. R. Rubio, and E. M. Navarro-lopez, D-OSKIL: a New Mechanism for Suppressing Stick-Slip in Oil Well Drillstrings, Proceedings of the 44th IEEE Conference on Decision and Control, 2005.
DOI : 10.1109/CDC.2005.1583499

C. Canudas-de-wit, H. Olsson, K. J. Astrom, and P. Lischinsky, A new model for control of systems with friction, IEEE Transactions on Automatic Control, vol.40, issue.3, p.40, 1995.
DOI : 10.1109/9.376053

C. Canudas-de-wit, B. Siciliano, and G. Bastin, Theory of Robot Control, 1996.

A. P. Christoforou and A. S. Yigit, Fully coupled vibrations of actively controlled drillstrings, Journal of Sound and Vibration, vol.267, issue.5, pp.1029-1045, 2003.
DOI : 10.1016/S0022-460X(03)00359-6

P. Dolcini and H. Bechart, Canudas-de-Wit, C. Observer-based Optimal Control of Dry Clutch Engagement, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC'05, pp.440-445, 2005.

P. Dupont, V. Hayward, B. Armstrong, and F. Altpeter, Single state elastoplastic friction models, IEEE Transactions on Automatic Control, vol.47, issue.5, 2002.
DOI : 10.1109/TAC.2002.1000274

G. W. Halsey, A. Kyllingstad, and A. Kylling, Torque Feedback Used to Cure Slip-Stick Motion, SPE Annual Technical Conference and Exhibition, pp.277-282, 1988.
DOI : 10.2118/18049-MS

C. M. Harris and A. G. Piersol, Harris's Shock and Vibration Handbook, 2002.
DOI : 10.1063/1.3058391

J. D. Jansen and L. Van-den-steen, Active damping of self-excited torsional vibrations in oil well drillstrings, Journal of Sound and Vibration, vol.179, issue.4, pp.647-668, 1995.
DOI : 10.1006/jsvi.1995.0042

A. Kyllingstad and G. W. Halsey, A Study of Slip/stick Motion of the Bit, SPE Drilling Engineering, pp.369-373, 1988.

V. Lampaert, J. Swevers, and F. Bender, Modification of the Leuven integrated friction model structure, IEEE Transactions on Automatic Control, vol.47, issue.4, 2002.
DOI : 10.1109/9.995050

R. I. Leine, D. H. Van-campen, and W. J. Keultjes, Stick-slip Whirl Interaction in Drillstring Dynamics, Journal of Vibration and Acoustics, vol.124, issue.2, pp.209-220, 2002.
DOI : 10.1115/1.1452745

Y. Q. Lin and Y. H. Wang, Stick-Slip Vibration of Drill Strings, Journal of Manufacturing Science and Engineering, vol.113, issue.1, pp.38-43, 1991.
DOI : 10.1115/1.2899620

E. M. Navarro-lopez, Notas acerca del modelado, analisis y control de las vibraciones mecanicas en una sarta de perforacion. Instituto Mexicano de Petroleo, programa de investigación en matematicas aplicadas y computacion edition, 2003.

E. M. Navarro-lopez and R. Suarez-cortez, Modelling and analysis of stick-slip behaviour in a drillstring under dry friction. Congress of the Mexican Association of Automatic Control, pp.330-335, 2004.

E. M. Navarro-lopez and R. Suarez-cortez, Practical approach to modelling and controlling stick-slip oscillations in oilwell drillstrings, Proceedings of the 2004 IEEE International Conference on Control Applications, 2004., pp.1454-1460, 2004.
DOI : 10.1109/CCA.2004.1387580

E. M. Navarro-lopez and R. Suarez-cortez, Vibraciones mecánicas en una sarta de perforación: problemas de control, Revista Iberoamerica de Automática e Informática Industrial, 2005.

D. R. Pavone and J. P. Desplans, Application of High Sampling Rate Downhole Measurements for Analysis and Cure of Stick-Slip in Drilling, SPE Annual Technical Conference and Exhibition, pp.335-345, 1994.
DOI : 10.2118/28324-MS

H. Rabia, Oil Well Drilling Engineering: Principle and Practice, 1985.

T. Richard, Self-excited Stick-slip Oscillations of Drag Bits, 2001.

P. Sananikone, O. Kamoshima, and D. B. White, A Field Method for Controlling Drillstring Torsional Vibrations, SPE/IADC Drilling Conference, pp.443-452, 1992.
DOI : 10.2118/23891-MS

A. F. Serrarens, M. J. Van-de-molengraft, J. J. Kok, and L. Van-den-steen, H/sub ???/ control for suppressing stick-slip in oil well drillstrings, IEEE Control Systems Magazine, vol.18, issue.2, 1998.
DOI : 10.1109/37.664652

R. Shorten and C. King, Spectral conditions for positive realness of single-input-single-output systems, IEEE Transactions on Automatic Control, issue.10, p.49, 2004.

P. D. Spanos, A. M. Chevallier, N. P. Politis, and M. L. Payne, Oil well drilling: A vibrations perspective. The Shock and Vibration Digest, pp.81-99, 2003.

B. L. Van-de-vrande, D. H. Van-campen, and A. De-kraker, An Approximate Analysis of Dry-friction-induced Stick-slip Vibrations by a Smoothing Procedure, Nonlinear Dynamics, vol.19, pp.157-169, 1999.

M. Vidyasagar, Nonlinear Systems Analysis, 1993.

W. Ranney and M. , Offshore Oil Technology Recent Development. Noyes Data Corporation, 1979.

Q. Zhang, Adaptive observer for MIMO linear time varying systems, INRIA report, issue.4111, 2001.
URL : https://hal.archives-ouvertes.fr/inria-00072520