Active optimal vibration control using dynamic absorber

A typical spring-lumped mass system undergoing forced vibrations is discussed. A secondary absorber mass connected to the main system through an active force generating element (such as a piezoelectric pusher) is considered as a viable means of suppressing vibrations of the system. State variable techniques are used to formulate the complete system, and optimal state feedback control is studied for such a system. Two approaches for optimal control are taken. First, an optimal control law for a system with known disturbance is considered, while in the second approach optimal control for a linear quadratic regulator problem is studied. The response of the system obtained with optimal control is compared with the response under no control. The results obtained from the two approaches of optimal control are then compared. The results are also compared with those obtained from a previous study of an active dynamic absorber.