The Adaptive Gauss Pseudospectral Method for the Optimal Control of Spacecraft Solar Array Deployment
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摘要: 研究了自适应Gauss伪谱法解决太阳帆板展开过程中航天器姿态最优控制的问题.由于帆板展开过程在工程应用中存在控制受限、状态受限、航天器姿态初始和终端状态受限等约束条件,航天器姿态控制问题可以看作是满足上述约束条件和边界条件,同时实现性能指标函数最优的最优控制问题.采用自适应Gauss伪谱法,通过判断时间区间是否需要细分及时间区间上节点数量是否需要增加,最大限度地提高计算效率,得到满足精度要求的帆板展开最优控制问题的解.最后对太阳帆板展开过程进行仿真,获得较好的姿态运动优化轨线及控制规律,论证了该方法在姿态控制问题中的有效性.Abstract: The adaptive Gauss pseudospectral method (GMP) for the optimal control of spacecraft solar array deployment was formulated. In a practical solar array deploying process, under the constraint conditions of limited control, limited states and limited initial and final attitudes, etc., the spacecraft attitude control problem was treated as an optimal control problem where the above constraints and boundary conditions shall be met and the optimal performance index function be realized at the same time. With the adaptive GMP, the solution to the solar array deployment control problem was obtained with satisfactory accuracy and highly promoted efficiency, through the judgement on the needs of time interval subdivision and time node number increase. Finally, the solar array deploying process was numerically simulated and the optimal attitude motion trajectory as well as the control rule was acquired. The results demonstrate the effectiveness of this method in the attitude control problems.
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Key words:
- solar array deployment /
- nonholonomic /
- adaptive /
- pseudospectral method /
- optimal control
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