Abstract
Vibration control is investigated for the 1st flexural mode of a cantilevered composite beam. A closed control loop system is designed with a non-contacting laser displacement pickup as a sensor, a pair of embedded piezoelectric ceramics as an actuator and a personal computer as a controller in order to control the vibration of the beam. The transfer function of the beam with an embedded actuator is obtained experimentally by using the vibration testing facility.
An optimal control system using a linear quadratic regulator with an observer is constructed to minimize a performance index by adopting a quadratic form of the control input and controlled variables such as the deflection at the free end of the beam. The effectiveness of the controller is evaluated by simulation and by experiments.
