航空学报 > 2007, Vol. 28 Issue (5): 1181-1189

单框架控制力矩陀螺奇异问题研究

汤亮,陈义庆   

  1. 北京控制工程研究所 空间智能控制技术国家级重点实验室
  • 收稿日期:2006-11-07 修回日期:2007-04-20 出版日期:2007-10-15 发布日期:2007-10-15
  • 通讯作者: 汤亮

Research on Singularity Questions of Singlegimbal Control Moment Gyros

Tang Liang,Chen Yiqing   

  1. National Laboratory of Space Intelligent Control, Beijing Institute of Control Engineering
  • Received:2006-11-07 Revised:2007-04-20 Online:2007-10-15 Published:2007-10-15
  • Contact: Tang Liang

摘要:

研究单框架控制力矩陀螺群的奇异问题。给出了一种新的奇异度量,并推导出利用该度量的简洁的零运动公式。对于不同的构型,该度量反映了陀螺群Jacobian矩阵求逆运算的误差灵敏度,且具有相同的取值范围,因此在分析各种构型的优劣时具有可比性。上述结论通过数值仿真给出了验证。对常用的行列式形式奇异度量,给出其零运动的清晰公式。基于奇异值分解,给出陀螺群的各类操纵律,证明了奇异方向与分解矩阵的关系,明确框架锁死出现的条件和鲁棒操纵律调控的依据。给出五棱锥构型奇异角动量体的切片图,为角动量体内奇异的出现提供了认识的方法;对失效情况下的五棱锥构型,通过奇异角动量曲面图和具体的切片图,直观地得到其内部形式和特性的显著变化。

关键词: 飞行器控制, 控制力矩陀螺, 奇异, 操纵律, 角动量体, 失效

Abstract:

Singularity questions of singlegimbal control moment gyros (SCMGs) are developed. A new singularity measure is presented. A null motion is deduced using the measure. To different configurations of SCMGs, the measure with the same range of value represents the error sensitivity in numerical inverse operation on a Jacobian matrix and has comparability. These conclusions are tested by simulation. The compact formula of the null motion using the common determinant measure is also given.

Key words: spacecraft , control,  , control , moment , gyro,  , singularity,  , steering , law,  , angular , momentum , body,  , failure

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