Abstract
In this paper an active control problem is investigated for a class of flexible cantilevered beams tipped with dynamic actuators subject to random disturbance. The mathematical models of the system are hybrid, described by an Euler-Bernoulli type partial and a second-order ordinary differential equations. Since the actuator is tipped the control problem constitutes a kind of boundary control problems. By introducing boundary homogenization approach and the modal representation, it is reduced to the finite dimensional control problem. Simulation studies are provided.
