Active vibration control of an inertial actuator subject to broadband excitation

Abstract

Active vibration control has been widely used in many engineering applications in order to minimise vibrations in structures, when subjected to broadband random disturbances. Feedback control in the form of velocity feedback is considered in this paper, which generates a damping force proportional to the velocity. The control gain is tuned in such a way to minimise the kinetic energy of the system. In this paper, an inertial actuator excited by a random voltage is considered and an active control is implemented. The dynamic equations of the system are derived and the response is obtained with and without control. The stability of the system is analysed using the Nyquist plot. The response of the actuator is obtained from time domain simulations using Matlab. The effect of the control gains are also investigated on the responses. Energy analysis shows how the energy in the system decreases by increasing the feedback gain up to a stability limit.