Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems, Systems and Control Letters, vol.59, pp.284-293, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00423576
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. ,
URL : https://hal.archives-ouvertes.fr/inria-00580713
A new parabolic sliding mode filter augmented by a linear low-pass filter and its application to position control, ASME J. of Dynamic Systems, Measurement and Control, vol.140, p.41005, 2018. ,
Globally stable implicit Euler time-discretization of a nonlinear single-input sliding-mode control system, Proc. IEEE 54th Int. Conf. on Decision and Control, pp.5426-5431, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01212601
Asymptotic stability and smooth Lyapunov functions, Journal of Differential Equations, vol.149, pp.69-114, 1998. ,
Super twisting control algorithm for the attitude tracking of a four rotors UAV, Journal of the Franklin Institute, vol.349, issue.2, pp.685-699, 2012. ,
Robustness analysis of a continuous higher order finite-time control system under sampled-data control, IEEE Transactions on Automatic Control, vol.64, issue.6, pp.2488-2494, 2019. ,
Realization and discretization of asymptotically stable homogeneous systems, IEEE Transactions on Automatic Control, vol.62, issue.11, pp.5962-5969, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01514350
Finite-Dimensional Variational Inequalities and Complementarity Problems, volume I of Operations Research, 2003. ,
Sliding Mode Enforcement after 1990: Main Results and Some Open Problems, LNCIS, vol.412, pp.3-57, 2011. ,
Euler's discretization of single input sliding-mode control systems, IEEE Transactions on Automatic Control, vol.52, issue.9, pp.1726-1730, 2007. ,
Lyapunov stability and performance analysis of the implicit discrete sliding mode control, IEEE Transactions on Automatic Control, vol.61, issue.10, pp.3016-3030, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01236159
Implicit discrete-time twisting controller without numerical chattering: Analysis and experimental results, Control Engineering Practice, vol.46, issue.1, pp.129-141, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01066689
Experimental results on implicit and explicit timediscretization of equivalent-control-based sliding-mode control, Recent Trends in Sliding-Mode Control, number 102 in Control, Robotics and Sensors, pp.207-236, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01238120
Proxy-based sliding mode control: A safer extension of PID position control, IEEE Transactions on Robotics, vol.26, issue.4, pp.670-683, 2010. ,
Discrete-time equivalents of the super twisting algorithm, Automatica, vol.107, pp.190-199, 2019. ,
On fixed and finite time stability in sliding mode control, 52nd IEEE Conference on Decision and Control, pp.4260-4265, 2013. ,
Multivalued robust tracking control of Lagrange systems: continuous and discrete-time algorithms, IEEE Transactions on Automatic Control, vol.62, issue.9, pp.4436-4450, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01254303
Set-valued sliding-mode control of uncertain linear systems: continuous and discrete-time analysis, SIAM J. on Control and Optimization, vol.56, issue.3, pp.1756-1793, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01317948
Strict Lyapunov functions for the super-twisting algorithm, IEEE Transactions on Automatic Control, vol.57, issue.4, pp.1035-1040, 2012. ,
Finite time stability and robust control synthesis of uncertain switched systems, SIAM Journal of Control and Optimization, vol.43, issue.4, pp.1253-1271, 2005. ,
, Finite-time and Fixed-time Stabilization: Implicit Lyapunov Function Approach, vol.51, pp.332-340, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01098099
Reaching time estimation for "super-twisting" second order sliding mode controller via Lyapunov function designing, IEEE Transactions on Automatic Control, vol.54, issue.8, pp.1951-1955, 2009. ,
Stability proof for a well-established super-twisting parameter setting, Automatica, vol.84, pp.241-243, 2017. ,
Experimental comparisons between implicit and explicit implementations of discrete-time sliding mode controllers: Toward input and output chattering suppression. Control Systems Technology, IEEE Transactions on, vol.23, issue.5, pp.2071-2075, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01625866