Sliding mode control for a class of linear infinite-dimensional systems
Analysis of PDEs
2022-10-26 v1 Dynamical Systems
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.
Cite
@article{arxiv.2210.13465,
title = {Sliding mode control for a class of linear infinite-dimensional systems},
author = {Ismaïla Balogoun and Swann Marx and Franck Plestan},
journal= {arXiv preprint arXiv:2210.13465},
year = {2022}
}