Active control of a rotating system subject to random torque input: case study

This study considers the effect of random torque characteristics on the active control of vibration of a slender flexible beam mounted on a compliant rotating hub. The optimal control scheme is developed to eliminate the need for sensor(s) placement at the beam. A modal state-space model of the beam-hub system dynamics is constructed from the first ten modes of vibration of the system. A reduced-order optimal observer is utilized to estimate the deflection of beam tip from measurements of the horizontal and vertical deflections of the hub. Two orthogonal actuators are used to manipulate the hub such that the relative motion between the hub and the tip of the beam is minimized. Simulation results are presented and discussed.