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. 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

V. Acary and B. Brogliato, Numerical Methods for Nonsmooth Dynamical Systems. Applications in Mechanics and Electronics, Lecture Notes in Applied and Computational Mechanics, vol.35, issue.525, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00423530

G. Bartolini, L. Fridman, A. Pisano, and E. Usai, Modern Sliding Mode Control Theory New Perspectives and Applications, Lecture Notes in Control and Information Sciences, vol.375, pp.978-981, 2008.

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, IFAC Symposium on System, Structure and Control, 2004.

L. Fridman, J. Moreno, and R. Iriarte, Sliding Modes after the First Decade of the 21st Century. State of the Art, Lecture Notes in Control and Information Sciences, vol.412, pp.10-1007

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

G. Golo and A. J. Van-der-schaft-and?and?and?, Milosavljevi´cMilosavljevi´c, Discretization of control law for a class of variable structure control systems, Advances in Variable Structure Systems

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

F. Plestan, Y. Shtessel, V. Brégeault, and A. Poznyak, Sliding mode control with gain adaptation???Application to an electropneumatic actuator, Control Engineering Practice, vol.21, issue.5, pp.679-688, 2013.
DOI : 10.1016/j.conengprac.2012.04.012

URL : https://hal.archives-ouvertes.fr/hal-00699534

S. Sesmat and . Scavarda, Static characteristics of a three way servovalve, Proc. Conf. Fluid Power Tech, 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

?. Sira and H. 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. Utkin, Variable structure systems with sliding modes, IEEE Transactions on Automatic Control, vol.22, issue.2, pp.212-222, 1977.
DOI : 10.1109/TAC.1977.1101446

V. Utkin, Sliding Modes in Control 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 Series, 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

K. D. Young, V. I. Utkin, and U. Ozguner, A control engineer's guide to sliding mode control, IEEE Transactions on Control Systems Technology, vol.7, issue.3, pp.328-342, 1999.
DOI : 10.1109/87.761053

X. Yu, B. Wang, Z. Galias, and G. Chen, Discretization Effect on Equivalent Control-Based Multi-Input Sliding-Mode Control Systems, IEEE Transactions on Automatic Control, vol.53, issue.6, pp.1563-1569, 2008.
DOI : 10.1109/TAC.2008.928311

R. T. Rockafellar, Convex Analysis, Princeton Landmarks in Mathematics, 1970.
DOI : 10.1515/9781400873173

F. Facchinei and J. S. Pang, Finite-Dimensional Variational Inequalities and Complementarity Problems, 2003.