The research on flywheel acceleration assessment with null motion escaping singularity for variable speed control moment gyros

Liu Feng, Yao Yu, Zhao Hui
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Abstract

Compare with single gimbal control moment gyroscope, the variable flywheel speed of variable speed control moment gyroscope can be changed and easily realized, which have the ability of singular escaping. The flywheel acceleration and singularity problem are close connect with each other. In this paper, the flywheel acceleration index evaluation problem is solved with null motion to escaping the singular point. The mechanism of singular escaping is analyzed, and the process of singular escaping is revealed. The new null motion steering method is proposed, which is perpendicular to the gradient direction of null motion. The reasonable trajectory of gimbal position is planned. The optimal method is given to distribute the flywheel acceleration index with maximum escaping ability. The flywheel acceleration index assessment method is solved. The theory analysis result is foundation for the VSCMGs system optimization design.
变速控制力矩陀螺零运动逃逸奇点飞轮加速度评估研究
与单万向节控制力矩陀螺仪相比,变速控制力矩陀螺仪的变飞轮转速可改变,易于实现,具有奇异逃逸能力。飞轮加速度和奇异性问题是密切相关的。针对飞轮加速度指标的评定问题,采用零运动逃避奇异点的方法进行求解。分析了奇异逃逸的机理,揭示了奇异逃逸的过程。提出了一种垂直于零运动梯度方向的零运动控制方法。规划了合理的云台位置轨迹。给出了以最大逃逸能力分配飞轮加速度指标的最优方法。解决了飞轮加速度指标的评定方法。理论分析结果是vscmg系统优化设计的基础。
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