Super-Twisting Sliding Mode Control for the Stabilization of a Linear Hyperbolic System
Ismaïla Balogoun, Swann Marx, Thibault Liard, Franck Plestan
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.
Topics & Concepts
Control theory (sociology)Disturbance (geology)Exponential stabilityBoundary (topology)Sliding mode controlMode (computer interface)Stability (learning theory)Linear systemMathematicsFeedback controlControl (management)Computer scienceMathematical analysisNonlinear systemEngineeringControl engineeringPhysicsGeologyPaleontologyMachine learningArtificial intelligenceOperating systemQuantum mechanicsStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsQuantum chaos and dynamical systems