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Super-twisting sliding mode control for the stabilization of a linear hyperbolic system

Abstract : This paper deals with the stabilization of a linear hyperbolic system subject to a boundary disturbance. Our feedback design relies on a super-twisting control algorithm, which leads to a feedback that is continuous with respect to the state, in contrast with the classical sliding mode design. Our first result is the existence of solutions of the closed-loop system. Moreover, the global asymptotic stability, that is our second result, is proved together with the guarantee that the disturbance is rejected.
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Preprints, Working Papers, ...
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https://hal.univ-antilles.fr/hal-03616081
Contributor : Ismaïla BALOGOUN Connect in order to contact the contributor
Submitted on : Tuesday, March 22, 2022 - 10:43:56 AM
Last modification on : Tuesday, September 27, 2022 - 9:42:08 AM
Long-term archiving on: : Thursday, June 23, 2022 - 7:02:29 PM

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  • HAL Id : hal-03616081, version 1

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Ismaïla Balogoun, Swann Marx, Thibault Liard, Franck Plestan. Super-twisting sliding mode control for the stabilization of a linear hyperbolic system. 2022. ⟨hal-03616081⟩

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