Sliding mode control for a class of linear infinite-dimensional systems - LS2N - équipe CODEx (Commande, Observation, Diagnostic et Expérimentation)
Pré-Publication, Document De Travail Année : 2024

Sliding mode control for a class of linear infinite-dimensional systems

Résumé

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the closed-loop system globally asymptotically stable in the absence of disturbance. To achieve our objective, we follow a sliding mode strategy and we add another term to this controller in order to reject the disturbance. We prove the existence of solutions to the closed-loop system and its global asymptotic stability, while making sure the disturbance is rejected.
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Dates et versions

hal-03823901 , version 1 (21-10-2022)
hal-03823901 , version 2 (23-12-2024)

Identifiants

Citer

Ismaïla Balogoun, Swann Marx, Franck Plestan. Sliding mode control for a class of linear infinite-dimensional systems. 2024. ⟨hal-03823901v2⟩
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