In this paper, we consider a system modelling an axially moving viscoelastic string subject to an unknown boundary disturbance. It is controlled by a hydraulic touch-roll actuator at the right boundary which is capable of suppressing the transverse vibrations that occur during the movement of the string. The multiplier method is employed to design a robust boundary control law to ensure the reduction of the transvesre vibrations of the string.
Kelleche, A. (2017). Boundary Control and Stabilization of an Axially Moving Viscoelastic String under a Boundary Disturbance. Mathematical Modelling and Analysis, 22(6), 763-784. https://doi.org/10.3846/13926292.2017.1376295
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