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Volume 34 Issue 09
Sep.  2008
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Journal of Beijing University of Aeronautics and Astronautics  > 2008  >  34(09): 1096-1100.
Lu Songtao, Wang Lei, Zhao Yushanet al. Double gimbal control moment gyroscopes singularity analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(09): 1096-1100. (in Chinese)
Citation: Lu Songtao, Wang Lei, Zhao Yushanet al. Double gimbal control moment gyroscopes singularity analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(09): 1096-1100. (in Chinese)
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Double gimbal control moment gyroscopes singularity analysis

  • School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 17 Sep 2007
  • Publish Date: 30 Sep 2008
    Abstract
  • Aimed at analyzing the singularity of double gimbal control moment gyroscopes(DGCMGs), a gimbal reference frame, an ε-δ definition of apparent and concealed singular points, three sorts of singular points, system momentum taylor series expanded formula at singular point and a determination of null motions were proposed. The relation between singularity of the system and parallelism of each gyroscope angular momentum was discussed. It was strictly proved that the DGCMGs with constant velocity and equal angular momentum and without limit of configuration, has the property that inside singular points must be concealed singular ones. The views above were examined through the numerical simulation of minimal apparent singular points of three orthogonal configuration’s 20° latitude circle.

     

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  • [1] 朱敏.空间站的力矩陀螺控制 .北京:北京航空航天大学宇航学院,1997 Zhu Min. CMG control for orbital space stations . Beijing: School of Astronautics, Beijing University of Aeronautics and Astronautics, 1997(in Chinese) [2] 汤亮.使用控制力矩陀螺的航天器姿态动力学与控制问题研究 .北京:北京航空航天大学宇航学院,2005 Tang Liang. A research on attitude dynamics and control of spacecraft with control moment gyros . Beijing: School of Astronautics, Beijing University of Aeronautics and Astronautics, 2005(in Chinese) [3] Meffe M. Control moment gyroscope configurations for the space station . AAS-88-040, 1988 [4] Wie B. Computation and visualization of control moment gyroscope singularities . AIAA-2002-4570, 2002 [5] Yoshikawa T. A steering law for three double-gimbal control moment gyro systems . NASA TM-X-64926, 1975 [6] Wie B. Singularity analysis and visualization of single-gimbal control moment gyro systems . AIAA-2003-5678, 2003
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