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基于Gauss伪谱法的欠驱动航天器姿态优化控制

易中贵 戈新生

易中贵, 戈新生. 基于Gauss伪谱法的欠驱动航天器姿态优化控制[J]. 应用数学和力学, 2017, 38(12): 1319-1330. doi: 10.21656/1000-0887.380013
引用本文: 易中贵, 戈新生. 基于Gauss伪谱法的欠驱动航天器姿态优化控制[J]. 应用数学和力学, 2017, 38(12): 1319-1330. doi: 10.21656/1000-0887.380013
YI Zhong-gui, GE Xin-sheng. Optimal Attitude Control of Underactuated Spacecrafts With the Gauss Pseudospectral Method[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1319-1330. doi: 10.21656/1000-0887.380013
Citation: YI Zhong-gui, GE Xin-sheng. Optimal Attitude Control of Underactuated Spacecrafts With the Gauss Pseudospectral Method[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1319-1330. doi: 10.21656/1000-0887.380013

基于Gauss伪谱法的欠驱动航天器姿态优化控制

doi: 10.21656/1000-0887.380013
基金项目: 国家自然科学基金(11472058)
详细信息
    作者简介:

    易中贵(1989—),男,硕士生(E-mail: yhcqyzg@sina.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: V412.4+2

Optimal Attitude Control of Underactuated Spacecrafts With the Gauss Pseudospectral Method

Funds: The National Natural Science Foundation of China(11472058)
  • 摘要: 现代航天器一般可以通过三正交反作用动量飞轮对其进行姿态机动控制并任意定位.研究了当其中某一个动量飞轮失效而不能输出完整三轴控制力矩时的欠驱动航天器姿态优化控制问题.在系统动量矩等于零时,其姿态控制问题可以转化为无漂移系统的非完整运动规划问题.采用Gauss伪谱法(GPM)将带有两个反作用动量飞轮的航天器姿态非完整运动规划问题转换为非线性规划问题(NLP),再通过SQP(sequential quadratic programming)算法求解.通过数值仿真、优化控制能达到设计的零边界控制要求,方便伺服电机对动量飞轮的控制;规划得到的姿态曲线与数值积分得到的曲线几乎完全重叠;权衡最终的优化目标值、运行时间和精度三因素找到合适的插值配点个数;结果表明了该方法对欠驱动航天器的姿态优化控制是有效的.
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出版历程
  • 收稿日期:  2017-01-10
  • 修回日期:  2017-02-20
  • 刊出日期:  2017-12-15

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