Comparison between explicit and implicit discrete-time implementations of sliding-mode controllers

Olivier Huber 1 Vincent Acary 1, * Bernard Brogliato 1
* Corresponding author
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : Different time-discretization methods for sliding mode control (SMC) are presented. A new discrete-time sliding mode control scheme is proposed for linear time-invariant (LTI) systems. It is error-free in the discretization of the equivalent part of the control input. Results from simulations using the various discretized SMC schemes are shown, with and without perturbations. They illustrate the different behaviours that can be observed.
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Conference papers
CDC 2013 - 52nd IEEE Conference on Decision and Control, Dec 2013, Florence, Italy. IEEE, pp.2870-2875, 2013, 〈10.1109/CDC.2013.6760319〉
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Olivier Huber, Vincent Acary, Bernard Brogliato. Comparison between explicit and implicit discrete-time implementations of sliding-mode controllers. CDC 2013 - 52nd IEEE Conference on Decision and Control, Dec 2013, Florence, Italy. IEEE, pp.2870-2875, 2013, 〈10.1109/CDC.2013.6760319〉. 〈hal-00870281〉

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