A new linear input shaper for mechanical vibration suppression of flexible system

Vibration affects the accuracy and efficiency of mechanical systems, especially in high-speed mechanical systems. Input shaping is an open-loop active vibration suppression technology that does not require complex sensor feedback hardware and offers the advantages of low cost and ease of deployment. However, traditional impulse-based shapers still have shortcomings in vibration suppression performance, delay, and robustness. This paper proposes a new shaping design method based on linear signals, namely, LS. The LS shaper is linear, has high solution efficiency, and has significant improvements in amplitude suppression effect and delay compared to traditional pulse shapers. Moreover, by differentiating with respect to natural frequency, a more robust shaper (LDS) can be obtained, which significantly improves the disturbance rejection capability of motion system without significantly increasing the time delay. Simulation and experiments have verified the excellent performance of LS and LDS. The method proposed in this paper provides a new and more effective vibration suppression method for open-loop control systems and is expected to be widely applied in precision motion control fields.