Abstract

The results of the analytical and numerical solution of the problem of controlling the rotational motion of an axially symmetric rigid body with a combined performance index of the control process are presented using quaternions. The performance index includes the duration of the control, impulse of the squared angular momentum magnitude, and impulse of the magnitude of the control torque applied to the body. The control must take an axisymmetric rigid body from a state of rest to another state of rest.

中文翻译：

---

具有组合性能指标的轴对称刚体的摆角问题的解析最优解

摘要

使用四元数给出了控制轴对称刚体的旋转运动并结合控制过程的综合性能指标的问题的解析和数值解的结果。性能指标包括控制的持续时间，角动量平方的大小的脉冲以及施加到身体的控制扭矩的大小的脉冲。控制器必须使轴对称刚体从静止状态变为另一种静止状态。