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Preprints, Working Papers, ... Year : 2022

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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Dates and versions

hal-03616081 , version 1 (22-03-2022)

Identifiers

  • HAL Id : hal-03616081 , version 1

Cite

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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