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New methodologies for adaptive sliding mode control

Abstract : This paper proposes new methodologies for the design of adaptive sliding mode control. The goal is to obtain a robust sliding mode adaptive gain control law with respect to uncertainties and perturbations without the knowledge of uncertainties/perturbations bound (only the boundness feature is known). The proposed approaches consist in having a dynamical adaptive control gain that establishes a sliding mode in finite time.. Gain dynamics ensures also that there is no over-estimation of the gain with respect to the real a priori unknown value of uncertainties. The efficacy of both proposed algorithms is confirmed on a tutorial example and while controlling an electropneumatic actuator.
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Contributor : Franck Plestan <>
Submitted on : Monday, September 26, 2011 - 1:41:11 PM
Last modification on : Tuesday, September 21, 2021 - 4:12:08 PM
Long-term archiving on: : Tuesday, December 27, 2011 - 2:25:14 AM

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Franck Plestan, Yuri Shtessel, Vincent Bregeault, Alexander Poznyak. New methodologies for adaptive sliding mode control. International Journal of Control, Taylor & Francis, 2010, 83 (9), pp.1907-1919. ⟨hal-00626498⟩

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