Digital Active Vibration Control of a Cantilever Beam with Piezoelectric Actuators.

A digital optimal regulator technique is introduced to the problem of vibration control of a cantilever beam. A pair of piezoelectrit cells is adhered to the upper and lower surfaces of the beam and used as the actuator. Influences of the mass and the rigidity of the actuator are taken into account in the analysis, and the equations of motion for the beam-control system are derived by applying the trsnsfer matrix method. Simulated transient response of the beam is compared with the experimental result. It is found that the effect of vibration suppression is obtained by means of the present technique which compensates for the delay arising from the computation time.