航天器太阳帆板展开过程最优控制的自适应Gauss伪谱法

董雪仰; 戈新生

doi:10.3879/j.issn.1000-0887.2016.06.011

航天器太阳帆板展开过程最优控制的自适应Gauss伪谱法

doi: 10.3879/j.issn.1000-0887.2016.06.011

董雪仰¹,
戈新生²

¹北京信息科技大学机电工程学院, 北京 100192;²北京信息科技大学理学院, 北京 100192

基金项目: 国家自然科学基金(11472058)

详细信息

作者简介:
董雪仰(1989―)，男，硕士生(E-mail: dxueyang89@126.com)；戈新生(1957―)，男，教授，博士(通讯作者. E-mail: gebim@vip.sina.com).

中图分类号: V448.22
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- 文章访问数: 1133
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出版历程
- 收稿日期: 2015-10-26
- 修回日期: 2016-01-28
- 刊出日期: 2016-06-15

The Adaptive Gauss Pseudospectral Method for the Optimal Control of Spacecraft Solar Array Deployment

DONG Xue-yang¹,
GE Xin-sheng²

¹School of Mechanical and Electrical Engineering, Beijing Information Science and Technology University, Beijing 100192, P.R.China;²School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, P.R.China

Funds: The National Natural Science Foundation of China(11472058)

摘要

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.
- 太阳帆板展开 /
- 非完整 /
- 自适应 /
- 伪谱法 /
- 最优控制
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.
- solar array deployment /
- nonholonomic /
- adaptive /
- pseudospectral method /
- optimal control

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参考文献(17)

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航天器太阳帆板展开过程最优控制的自适应Gauss伪谱法

doi: 10.3879/j.issn.1000-0887.2016.06.011

作者简介:
董雪仰(1989―)，男，硕士生(E-mail: dxueyang89@126.com)；戈新生(1957―)，男，教授，博士(通讯作者. E-mail: gebim@vip.sina.com).

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The Adaptive Gauss Pseudospectral Method for the Optimal Control of Spacecraft Solar Array Deployment

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航天器太阳帆板展开过程最优控制的自适应Gauss伪谱法

doi: 10.3879/j.issn.1000-0887.2016.06.011

作者简介: 董雪仰(1989―)，男，硕士生(E-mail: dxueyang89@126.com)；戈新生(1957―)，男，教授，博士(通讯作者. E-mail: gebim@vip.sina.com).

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出版历程

The Adaptive Gauss Pseudospectral Method for the Optimal Control of Spacecraft Solar Array Deployment

计量

出版历程

目录

作者简介:
董雪仰(1989―)，男，硕士生(E-mail: dxueyang89@126.com)；戈新生(1957―)，男，教授，博士(通讯作者. E-mail: gebim@vip.sina.com).