Vibration suppression of an axially moving system via boundary control and S-curve ac/deceleration methods

This article presents a boundary control for the vibration reduction of an axially moving belt with high acceleration/deceleration in the presence of unknown disturbances. The nonhomogeneous infinite-dimensional model of the belt system is obtained via the extended Hamilton's principle. In an appropriate mathematical manner, the Lyapunov's direct method is adopted to construct a control law for the vibration reduction of the belt system and also to guarantee the uniformly bounded stability of the closed-loop system. In addition, the S-curve acceleration/deceleration technique is used to regulate the belt's axial velocity. Finally, simulation results are presented to verify the effectiveness of the proposed control.