Abstract

SummaryIn this paper, vibration control and output constraint are addressed for a flexible string system. A boundary controller is designed to suppress vibrations and asymmetrically constrain endpoint displacement by adopting tangent functions into a barrier Lyapunov function. With the proposed boundary control law, the closed‐loop system is stabilized asymptotically and even uniform boundedness is achieved. Simulation results aim to prove the effectiveness of the designed boundary control scheme.

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