Boundary Control to the Stabilization of the Euler-Bernoulli Beam Under External Disturbances

This paper studies the boundary feedback control of Euler-Bernoulli beams affected by boundary disturbance and unknown time-varying distributed loads. In order to suppress the external disturbance, a symbolic function is introduced, and a robust controller is constructed to ensure the ultimate uniform boundedness of the closed-loop system. By applying operator semigroup, the well-posedness of the beam system is analyzed. Numerical simulations are performed to verify the efficacy of the suggested approach.