Vibration Control of the Elastodynamic Response of High-Speed Flexible Linkage Mechanisms

A methodology for suppressing the elastodynamic responses of high-speed flexible linkage mechanisms by employing a state feedback optimal control scheme is proposed. This permits the mechanisms to be subjected to controlled dynamic inputs generated by several pairs of suitably-selected piezoelectric ceramics while additional piezoceramics are utilized as sensing devices. This optimal control scheme includes a feedback control law and a Luenberger observer. The instabilities caused by the combined effect of control and observation spillover are investigated and carefully prevented. Finally, numerical simulation is performed to evaluate the improvement of the elastodynamic responses.