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Super-Twisting Sliding Mode Control for the Stabilization of a Linear Hyperbolic System

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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… Click to show full 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.

Keywords: system; stabilization linear; hyperbolic system; control; super twisting; linear hyperbolic

Journal Title: IEEE Control Systems Letters
Year Published: 2022

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