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arXiv · 2210.13465

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

Ismaïla Balogoun·Swann Marx·Franck Plestan
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Abstract

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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Ismaïla Balogoun, Swann Marx, Franck Plestan. 2022-10-24. Sliding mode control for a class of linear infinite-dimensional systems. https://arxiv.org/abs/2210.13465

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