单框架控制力矩陀螺构型分析与奇异可视化

在单框架控制力矩陀螺(SGCMG)系统构型的分析和评价指标中，构型效益和可控效益分别反映了构型角动量包络和奇点在空间中的分布，可在一定程度上反映构型的性能。然而，构型效益不够直观，而可控效益中包含了角动量包络大小的影响。为此，将构型效益归一化，并从可控效益中去除角动量包络的影响，定义了两个新的构型指标--角动量利用率和非奇异率，对构型进行分析和评价。在此基础上，为了直观反映不同构型对奇点分布的影响，引入奇异可视化方法对不同构型下的奇异角动量曲面分布情况进行了对比分析。分析结果表明，SGCMG个数和构型的对称性是影响构型指标和奇异角动量曲面分布的主要因素。

Configuration Analysis and Singularity Visualization of Single Gimbal Control Moment Gyroscopes

The configuration efficiency and controllable efficiency are important indices in evaluating the configuration of a single gimbal control moment gyroscope (SGCMG) system. But the configuration efficiency is non-normalized, and the controllable efficiency depends on the magnitude of the angular momentum envelop. By normalizing the configuration efficiency and excluding the impact of the angular momentum envelop to the controllable efficiency, two improved indices, which are capacity ratio and nonsingular capacity ratio, were introduced. As the singularity of SGCMGs is complex and these scalar indices do not indicate the whole properties of the configuration, visualization techniques were used to compare the singular surfaces of different configurations. The analysis results show that the quality of the SGCMG and the symmetries of the configurations mainly affect the configuration indices and the complexity of the singular surface.