The boundary control problem of a cantilever Euler- Bernoulli is considered in this paper. If the control at the right end of the beam is of the form w(xxx)(1, t) = u(t - tau) + r(t), where tau > 0 is the input time-delay and r(t) is an unknown external disturbance, a dynamic feedback control strategy based on the methods of partial state predictor and active disturbance rejection control is used to stabilise the system. Under some assumptions on r(t), it is proven that the state of the system exponentially converges to and stays in the compact set . The radius epsilon is determined by the time-delay tau and the properties of r(t). The simulations are provided to compare the influence of tau and r(t) on the radius epsilon.