Abstract:A method is proposed for the resonant suppression of flexible system based on vibration signal feedback. Based on the control structure of torque, speed and position feedback, this method has filtered some specific vibration frequencies of the output and then fed back them to the input of the system. It has a concise control structure and simple parameter design procedures. Taken a three-mass system as an instance, the transfer function and the procedures of controller design are explained and the essential of resonant suppression is presented. Then the controller design is extended to a general flexible system where consists of more masses even unequal qualities/inertias. Finally, a load force compensator is added to mitigate the load terminal disturbance. Simulation results show the validation of the method.
巫佩军, 马少康, 陈乔, 杨耕, 李旭春. 基于特定振动反馈的柔性系统振动抑制方法[J]. 电工技术学报, 2017, 32(2): 188-194.
Wu Peijun, Ma Shaokang, Chen Qiao, Yang Geng, Li Xuchun. Resonant Suppression of Flexible System by Feedback Compensation of Resonant Frequencies. Transactions of China Electrotechnical Society, 2017, 32(2): 188-194.
[1] Morimoto S, Takeda Y. Two-degrees-of-freedom speed control of resonant mechanical system based on H-infinity control theory[J]. Electrical Engin- eering in Japan, 1996, 117(1): 112-121. [2] Katsura S, Ohnishi K. Force servoing by flexible manipulator based on resonance ratio control[J]. IEEE Transactions on Industrial Electronics, 2007, 54(1): 539-547. [3] Melicio R, Mendes V M F, Catalao J P S. Harmonic assessment of variable-speed wind turbines con- sidering a converter control malfunction[J]. IET Renewable Power Generation, 2010, 4(2): 139-152. [4] 张琛, 李征, 蔡旭, 等. 双馈风电机组轴系扭振的稳定与控制[J]. 电工技术学报, 2015, 30(10): 301- 310. Zhang Chen, Li Zheng, Cai Xu, et al. Stability and control of shaft torsional oscillation for doubly-fed wind power generator[J]. Transactions of China Electrotechnical Society, 2015, 30(10): 301-310. [5] Matsuno F, Asano T, Sakawa Y. Modeling and quasi-static hybrid position force control of con- strained planar 2-link flexible manipulators[J]. IEEE Transactions on Robotics and Automation, 1994, 10(3): 287-97. [6] Ji J K, Sul S K. Kalman filter and LQ based speed controller for torsional vibration suppression in a 2-mass motor drive system[J]. IEEE Transactions on Industrial Electronics, 1995, 42(6): 564-571. [7] Song S H, Ji J K, Sul S K, et al. Torsional vibration suppression control in 2-mass system by state feed- back speed controller[C]//IEEE Conference on Control Applications, 1993, 1: 129-134. [8] Szabat K, Orlowska-Kowalska T. Vibration supp- ression in a two-mass drive system using PI speed controller and additional feedbacks-comparative study[J]. IEEE Transactions on Industrial Electronics, 2007, 54(2): 1193-1206. [9] Muszynski R, Deskur J. Damping of torsional vibrations in high-dynamic industrial drives[J]. IEEE Transactions on Industrial Electronics, 2010, 57(2): 544-552. [10] Saito E, Katsura S. Position control of resonant system with load force suppression using wave observer[J]. IEEJ Journal of Industry Applications, 2014, 3(1): 18-25. [11] Halevi Y. Control of flexible structures governed by the wave equation using infinite dimensional transfer functions[J]. Journal of Dynamic Systems Measure- ment and Control, 2005, 127(4): 579-588. [12] Kumagai S, Ohishi K, Miyazaki T. High performance robot motion control based on zero phase error notch filter and D-PD control[C]//IEEE International Conference on Mechatronics, Malaga, 2009: 1-6. [13] 杨明, 胡浩, 徐殿国. 永磁交流伺服系统机械谐振成因及其抑制[J]. 电机与控制学报, 2012, 16(1): 79-84. Yang Ming, Hu Hao, Xu Dianguo. Cause and suppression of mechanical resonance in PMSM servo system[J]. Electric Machines and Control, 2012, 16(1): 79-84. [14] 李长红, 陈明俊, 韩耀鹏. 基于最大相位裕度的位置伺服系统设计[J]. 电工技术学报, 2015, 30(20): 10-20. Li Changhong, Chen Mingjun, Han Yaopeng. Design of position servo system based on maximum phase margin[J]. Transactions of China Electrotechnical Society, 2015, 30(20): 10-20. [15] 赵希梅, 赵久威, 李洪谊. 基于GPC和DOB的直驱XY平台鲁棒跟踪控制[J]. 电工技术学报, 2015, 30(6): 150-154. Zhao Ximei, Zhao Jiuwei, Li Hongyi. Robust tracking control for direct drive XY table based on GPC and DOB[J]. Transactions of China Electro- technical Society, 2015, 30(6):150-154. [16] 陈霞, 邹继斌. 基于干扰观测器的反作用力矩测试系统鲁棒性设计[J]. 电工技术学报, 2010, 25(7): 56-60. Chen Xia, Zou Jibin. Robust design of reaction torque measurement system based on disturbance observer[J]. Transactions of China Electrotechnical Society, 2010, 25(7): 56-60. [17] Zhang S, Jiang S, Lu X, et al. Resonance issues and damping techniques for grid-connected inverters with long transmission cable[J]. IEEE Transactions on Power Electronics, 2014, 29(1): 110-120. [18] 李崇坚, 段巍. 轧机传动交流调速机电振动控制[M]. 北京: 冶金工业出版社, 2003.