Titlebook: Dynamic Modeling and Boundary Control of Flexible Axially Moving System; Yu Liu,Fengjiao Liu,Wei Zhao Book 2023 The Editor(s) (if applicab

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Vibration Control and Boundary Tension Constraint of an Axially Moving String System,kle the effects of unknown boundary disturbance. With the proposed control strategy, the states of the closed-loop system are proven to be uniformly ultimately bounded through rigorousLyapunov analysis and the boundary tension constraint is not violated.

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Adaptive Boundary Control of an Axially Moving System with High Acceleration/Deceleration and DistuHamilton’s principle. Subsequently, by using the Lyapunov synthesis method and adaptive technique, an adaptive boundary control is developed to suppress the belt’s vibration and compensate for the system’s parametric uncertainties. Finally, the control performance of the closed-loop system is successfully demonstrated through simulations.