V. Acary and B. Brogliato, Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems, Systems & Control Letters, vol.59, issue.5, pp.284-293, 2010.
DOI : 10.1016/j.sysconle.2010.03.002
URL : https://hal.archives-ouvertes.fr/inria-00423576

V. Acary, B. Brogliato, and Y. V. Orlov, Chattering-Free Digital Sliding-Mode Control With State Observer and Disturbance Rejection, IEEE Transactions on Automatic Control, vol.57, issue.5, pp.1087-1101, 2012.
DOI : 10.1109/TAC.2011.2174676
URL : https://hal.archives-ouvertes.fr/inria-00580713

A. Bartoszewicz, Discrete-time quasi-sliding-mode control strategies, IEEE Transactions on Industrial Electronics, vol.45, issue.4, pp.633-637, 1998.
DOI : 10.1109/41.704892

R. Castro-linarès, S. Laghrouche, A. Glumineau, and F. Plestan, Higher Order Sliding Mode Observer-Based Control, Proc. IFAC Symp. Syst., Struct. Control, pp.481-486, 2004.
DOI : 10.1016/S1474-6670(17)30515-3

Z. Galias and X. Yu, Complex Discretization Behaviors of a Simple Sliding-Mode Control System, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.53, issue.8, pp.652-656, 2006.
DOI : 10.1109/TCSII.2006.875377

Z. Galias and X. Yu, Analysis of Zero-Order Holder Discretization of Two-Dimensional Sliding-Mode Control Systems, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.55, issue.12, pp.1269-1273, 2008.
DOI : 10.1109/TCSII.2008.2008069

A. Girin, F. Plestan, X. Brun, and A. Glumineau, High-Order Sliding-Mode Controllers of an Electropneumatic Actuator: Application to an Aeronautic Benchmark, IEEE Transactions on Control Systems Technology, vol.17, issue.3, pp.633-645, 2009.
DOI : 10.1109/TCST.2008.2002950
URL : https://hal.archives-ouvertes.fr/hal-00207663

O. Huber, V. Acary, B. Brogliato, and F. Plestan, Discrete-time twisting controller without numerical chattering: analysis and experimental results with an implicit method, 53rd IEEE Conference on Decision and Control, 2014.
DOI : 10.1109/CDC.2014.7040071
URL : https://hal.archives-ouvertes.fr/hal-01066689

S. Laghrouche, M. Smaoui, F. Plestan, and X. Brun, Higher order sliding mode control based on optimal approach of an electropneumatic actuator, International Journal of Control, vol.78, issue.2, pp.119-131, 2006.
DOI : 10.1016/S0167-6911(98)00036-X
URL : https://hal.archives-ouvertes.fr/hal-00140897

S. Sesmat and S. Scavarda, Static characteristics of a three way servovalve, Proc. Conf. Fluid Power Technol, pp.643-652, 1996.

Y. Shtessel, M. Taleb, and F. Plestan, A novel adaptive-gain supertwisting sliding mode controller: Methodology and application, Automatica, vol.48, issue.5, pp.759-769, 2012.
DOI : 10.1016/j.automatica.2012.02.024
URL : https://hal.archives-ouvertes.fr/hal-00688322

H. Sira-ramirez, Non-linear discrete variable structure systems in quasi-sliding mode, International Journal of Control, vol.46, issue.5, pp.1171-1187, 1991.
DOI : 10.1109/TAC.1977.1101446

V. I. Utkin, Sliding Modes in Control and Optimization, 1992.
DOI : 10.1007/978-3-642-84379-2

V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electro- Mechanical Systems (Automation and Control Engineering, 2009.

B. Wang, X. Yu, and G. Chen, ZOH discretization effect on single-input sliding mode control systems with matched uncertainties, Automatica, vol.45, issue.1, pp.118-125, 2009.
DOI : 10.1016/j.automatica.2008.05.028

B. Wang, B. Brogliato, V. Acary, A. Boubakir, and F. Plestan, Comparisons between implicit and explicit discrete-time implementations of equivalent-control-based sliding mode controllers: Input and output chattering suppression via the implicit method, INRIA, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01087400