Vibration Boundary Control for a One-Dimensional Flexible Beam System With Restricted Input

This paper studies a boundary control problem of a 1-D flexible beam. The objective is to design an efficient boundary controller to suppress the undesired vibration of the 1-D flexible beam with restricted input. A novel boundary controller is developed to suppress the vibration and stabilize the beam system. The effect of the restricted input can be mitigated by employing a smooth hyperbolic tangent function and the boundary controller proposed in this paper can not only avoid the control spillover phenomenon, but also guarantee the asymptotic stability of the closed-loop system. The numerical results are finally illustrated to validate the effectiveness of our methodology.