Super-Twisting Sliding Mode Control for the Stabilization of a Linear Hyperbolic System
IEEE Control Systems Letters(2023)
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.
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Key words
Sliding mode control,hyperbolic equations,robust control,stabilization of PDEs
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