Dynamics Modeling and Low Rate Control ofGimbal Servo System for Single Gimbal Control Moment Gyro

Abstract

Abstract: In order to ensure the high precision of output torque, the precise dynamics modeling and control of gimbal servo system were studied. By thorough dynamics analysis of single gimbal control moment gyro (SGCMG) mounted on the spacecraft, the dynamic model of gimbal servo system was established, taking into account the largest disturbing torque along the gimbal axis resulted from rotor imbalance and the friction torque. For the gimbal servo system using a sinusoidal permanent magnetic synchronous motor (PMSM), the inner and outer loop controllers were both designed based on the active disturbance rejection control (ADRC) theory. The simulation results demonstrate that under the assumption that the high frequency disturbing torque resulted from rotor imbalance is ignored, the modeled and unmodeled disturbance existing in both loops were estimated and compensated exactly using the ADRC controller, so that the high precision control of gimbal servo system was ensured. The results also show the effect level of the rotor imbalance on gimbal control precision.

Key words: Control moment gyro, Gimbal servo system, Dynamics, Friction torque Active disturbance rejection control, Spacecraft

JIN Lei, XU Shi-Jie. Dynamics Modeling and Low Rate Control ofGimbal Servo System for Single Gimbal Control Moment Gyro[J]. , 2010, 30(6): 1-10.

References

［1］MASTERSON R, MILLER D, GROGAN R. Development of empirical and analytical reaction wheel disturbance models[C]. AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, 1999:1-12. ［2］汤亮.大型航天器高精度高稳定度姿态控制系统中CMG的应用研究[D]. 北京：中国空间技术研究院，2007. TANG LIANG. Application of control moment gyro in high precision and high stability attitude control system of large spacecraft \[D\]. Beijing:China Academy of Space Technology,2007. ［3］NAGASHIMA M, LONGMAN R W. Cancellation of unknown periodic disturbances by PLL/adaptive matched basis function repetitive control[J]. Advances in the Astronautical Sciences, 2005,120(II):2041-2060. ［4］RYBAK S C, LIEBERMAN S L, HARTTER L L. Achieving ultrahigh accuracy with a body pointing CMG/RW control system[C]. AIAA Guidance, and Control Conference,1973. ［5］LIDEN S P. Precision CMG control for high accuracy pointing[J]. Journal of Spacecraft and Rockets,1974,11(4):236-240. ［6］吴忠，吴宏鑫. SGCMG框架伺服系统扰动力矩的分析与抑制[J].航天控制，1998，16(4)：9-17. WU ZHONG, WU HONGXIN. Analysis and attenuation of disturbance torque in SGCMG gimbal servo system \[J\]. Aerospace Control,1998,16(4):9-17. ［7］张激扬，周大宁，高亚楠.控制力矩陀螺框架控制方法及框架转速测量方法[J]. 空间控制技术与应用，2008，34(2)：23-28. ZHANG JIYANG, ZHOU DANING, GAO YANAN. Gimbal control technique and gimbal rate measurement method for the control moment gyro[J]. Aerospace Control and Application, 2008, 34(2):23-28. ［8］刘向东，刘承，余创. 单框架控制力矩陀螺伺服系统的模糊自适应变结构控制[J].北京理工大学学报，2006，26(9)：802-804. LIU XIANGDONG, LIU CHENG, YU CHUANG. Fuzzy adaptive variable structure control for SGCMG servo system[J]. Transactions of Beijing Institute of Technology, 2006, 26(9):802-804 ［9］吴忠，张激扬. 控制力矩陀螺框架伺服系统动力学建模与控制[J]. 应用基础与工程科学学报，2007，15(1)：130-136. WU ZHONG, ZHANG JIYANG. Dynamics and control of gimbal servo systems for control moment gyroscopes[J]. Journal of Basic Science and Engineering,2007,15(1):130-136. ［10］BUSSEUIL J, LLIBRE M, ROSER X. High precision mini CMG's and their spacecraft applications[C].Proceedings of the 21st Annual AAS Rocky Mountain Guidance and Control Conference,1998:91-107. ［11］CANUDAS C, OLSSON H. A new model for control of systems with friction[J].IEEE Transactions on Automatic Control, 1995,40(3): 419-425. ［12］钱平.伺服系统[M]. 北京:机械工业出版社，2006. QIAN PING. Servo System[M]. Beijing: China Machine Press,2006. ［13］黄一，韩京清.非线性连续二阶扩张状态观测器的分析和设计[J].科学通报，2000，45〖BF〗(13):1373-1379. HUANG YI, HAN JINGQING. Analysis and design of nonlinear continuous second order extended state observer[J]. Chinese Science Bulletin, 2000, 45(13):1373-1379.

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