Lyapunov approach to output feedback stabilization for the Euler-Bernoulli beam equation with boundary input disturbance

We propose a boundary output feedback control law for a one-dimensional Euler-Bernoulli beam equation with general external disturbance entering the control end. A Galerkin approximation scheme is constructed to show the existence of solution to the closed-loop system. The exponential stability of the closed-loop system is obtained by the Lyapunov functional method. Numerical simulations are presented for illustration.

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