Research Communication | Open Access
Volume 2021 | Communication ID 41
On the stabilization of an axially moving beam Under the Unknown Boundary External
Nahli Mohamed, Aouragh My Driss
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 22, 2021
February 15, 2021
March 15, 2021

Abstract: We study a hybrid Euler-Bernoulli system, which undergoes unknown but uniform boundary external disturbance [1]. To suppress the vibration of the system caused by the external disturbances, we use a nonlinear feedback control law. The well-posedness of the system was proved by the semigroup theory [2], also the exponential stability was proved by constructing a suitable Lyapunov function. Further, some numerical simulations are presented to show the effectiveness of the proposed control [3].