Title
Super-Twisting Sliding Mode Control for the Stabilization of a Linear Hyperbolic System
Abstract
This letter 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.
Year
DOI
Venue
2023
10.1109/LCSYS.2022.3186230
IEEE Control Systems Letters
Keywords
DocType
Volume
Sliding mode control,hyperbolic equations,robust control,stabilization of PDEs
Journal
7
ISSN
Citations 
PageRank 
2475-1456
0
0.34
References 
Authors
10
4
Name
Order
Citations
PageRank
Ismaila Balogoun100.34
Swann Marx200.34
Thibault Liard300.34
Franck Plestan401.01