非零初末角速度约束下的卫星实时姿态机动规划

针对存在初末角速度非零约束的卫星姿态机动任务,提出了一种基于旋转分解的实时解析规划算法。该方法通过将卫星三维旋转分解为多个绕固定轴的一维欧拉旋转,使非线性规划问题转换为多个一维空间上的线性规划问题,再将各个线性规划的结果通过四元数运算融合为最终的姿态机动规划结果。与过去针对此类问题经常采用的非线性规划方法相比,该规划算法可以通过解析的形式给出,因此不需要通过多次数值迭代得到可行解,运算量少,可以实时进行计算,适合实际在轨应用。

Real-Time Attitude Maneuver Programming for Satellites under Nonzero Initial and Final Angular Velocity Constraints

A real-time analytical programming algorithm based on the rotation decomposition is proposed for satellite attitude maneuver tasks under nonzero initial and final angular velocity constraints. By decomposing the three-dimensional rotation of the satellite into several one-dimensional Euler-axis rotations around the fixed axis, the original nonlinear programming problem is converted into several one-dimensional linear programming problems. Then, the result of each linear programming problem is integrated into the final attitude maneuver programming result with quaternion calculations. Compared with the nonlinear programming methods often used for such problems, the proposed programming algorithm can give an analytical solution, and thus does not need multiple numerical iterations to achieve an appropriate solution. It consumes less computation resources, and is suitable for practical in-orbit applications.