Active control of a beam using a piezoceramic element

A model is developed to predict the dynamic response of a mechanical stack called a 'piezoceramic element' which is composed of a piezoelectric sensor, a viscoelastic damper and a piezoelectric actuator of which the applied voltage is fed back by the sensor voltage. This stack works by stretching: a model based on Euler-Bernoulli beam equations is chosen. This model is then used to investigate the effect of the 'piezoceramic element' on the active vibration control of a cantilevered beam. An optimal control law is determined by using a state observer and the Riccati equation. Finally, the theoretical results are simulated and compared with the results obtained in the open-loop condition.