Combined modified negative input shaping and optimal control for vibration suppression
ZHAO Zhi-gang 1, YOU Bin-di2, ZHAO Yang 1
1. School of Astronautics,Harbin Institute of Technology, Harbin 150001,China; 2. School of Ship Engineering, Harbin Institute of Technology at Weihai, Weihai, 264209, China
A new vibration reduction control strategy is presented, which integrates modified negative input shaping (MNIS) technique with optimal control for active vibration control of the flexible systems such as flexible manipulator. An optimal state feedback controller is designed for the flexible manipulator maneuver and the vibration eliminating. To improve the performance of the vibration control and reduce the system response time duration, the designed modified negative input shaper as feed-forward controller which utilizes the frequency and damping ratio of the whole closed loop system under linear quadratic regulator (LQR) controller. Combining the feed-forward control and feedback control and utilizing the respective advantages, the performance of the control system can be improved. Both analytical and numerical results are presented to demonstrate the effectiveness for vibration suppression of the hybrid control strategy. It can reduce the time delay and thus increase the speed of the response of the system.