Suppression of motion-induced vibration for a two-DoF system using state feedback control

Residual vibration control is crucial for applications in long-range precision transportation, which requires fast maneuvers with small motion-induced swings as well as low residual vibrations. To achieve this goal, vibrations resulted from structure motion must be analyzed and suppressed. A two-degree of freedom pendulum system mounted on a linear servomotor was realized to simulate the motion of high speed rest-to-rest maneuvers for developing vibration control strategies. Two feedback control schemes: i.e., loop shaping controls for SISO systems and full state feedback with observers and feedback linearization for MIMO systems were developed. The experimental results indicated that in comparison with the loop shaping control, the MIMO scheme could achieve a better performance due to its abilities for counting the coupling and compensating nonlinearities. The research results should be useful in residual vibration reduction for mechatronics applications in precision positioning.