Boundary Control for a Flexible String System with Prescribed Bound

This paper focuses on the prescribed performance constraint control issue of vibrating flexible string systems affected by external disturbances. To stabilize the vibration, tackle the external disturbance, and achieve the pre-set performance, a smooth performance function and an error transformation are introduced to construct the boundary constrained controller and disturbance observer. The suggested control can ensure the boundary output constraint convergent to an arbitrarily small residual set with a larger convergence rate, and achieve the asymptotic stability of the controlled system. By selecting appropriate design parameters, the control performance is validated via the obtained simulation results.