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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.
  • [1] Crouch P E. Spacecraft attitude control and stabilization:applications of geometric control theory to rigid body models[J]. IEEE Transactions on Automatic Control,1984,29(4): 321-331.
    [2] Krishnan H, McClamroch N H, Reyhanoglu M. Attitude stabilization of a rigid spacecraft using two momentum wheel actuators[J]. Journal of Guidance Control & Dynamics,1995,18(2): 256-263.
    [3] Tsiotras P, Corless M, Longuski J M. A novel approach to the attitude control of axisymmetric spacecraft[J].Automatica,1995,31(8): 1099-1112.
    [4] Krishnaprasad P S. Geometric phases, and optimal reconfiguration for multibody systems[C]// Proceedings of the American Control Conference. New York: The American Automatic Control Council, 1990: 2440-2444.
    [5] Walsh G C, Montgomery R, Sastry S S. Orientation control of the dynamic satellite[C]// Proceedings of the American Control Conference. Baltimore, Maryland: The American Automatic Control Council, 1994: 138-142.
    [6] Coverstone-Carroll V L, Wilkey N M. Optimal control of a satellite-robot system using direct collocation with nonlinear programming[J]. Acta Astronautica,1995,36(3): 149-162.
    [7] 戈新生, 陈立群, 刘延柱. 带有两个动量飞轮刚体航天器的姿态非完整运动规划问题[J]. 控制理论与应用, 2004,21(5): 781-784.(GE Xin-sheng, CHEN Li-qun, LIU Yan-zhu. Nonholonomic motion planning for the attitude of rigid spacecraft with two momentum wheel actuators[J]. Control Theory & Applications,2004,21(5): 781-784.(in Chinese))
    [8] 孙凯, 戈新生. 航天器太阳帆板伸展过程最优控制的粒子群优化算法[J]. 工程力学, 2007,24(9): 188-192.(SUN Kai, GE Xin-sheng. Optimal control of stretching process of solar array on spacecraft using particle swarm optimization algorithm[J]. Engineering Mechanics,2007,24(9): 188-192.(in Chinese))
    [9] 段柳成, 李海泉, 刘晓峰, 等. 考虑铰摩擦的太阳翼展开动力学研究[J]. 应用数学和力学, 2014,35(12): 1308-1319.(DUAN Liu-cheng, LI Hai-quan, LIU Xiao-feng, et al. Deployment dynamics for solar wings with joint friction[J]. Applied Mathematics and Mechanics,2014,35(12): 1308-1319.(in Chinese))
    [10] Benson D A, Huntington G T, Thorvaldsen T P, et al. Direct trajectory optimization and costate estimation via an orthogonal collocation method[J]. Journal of Guidance, Control, and Dynamics,2006,29(6): 1435-1440.
    [11] Benson D. A Gauss pseudospectral transcription for optimal control[D]. PhD Thesis. Cambridge, Massachusetts: Massachusetts Institute of Technology, 2005.
    [12] 雍恩米, 唐国金, 陈磊. 基于Gauss伪谱方法的高超声速飞行器再入轨迹快速优化[J]. 宇航学报, 2008,29(6): 1766-1772.(YONG En-mi, TANG Guo-jin, CHEN Lei. Rapid trajectory optimization for hypersonic reentry vehicle via Gauss pseudospectral method[J]. Journal of Astronautics,2008,29(6): 1766-1772.(in Chinese))
    [13] 李适. 空间机器人路径优化与鲁棒跟踪控制[D]. 博士学位论文. 哈尔滨: 哈尔滨工业大学, 2013.(LI Shi. Path optimization and robust tracking control for space manipulator[D]. PhD Thesis. Harbin: Harbin Institute of Technology, 2013.(in Chinese))
    [14] 董雪仰, 戈新生. 航天器太阳帆板展开过程最优控制的自适应Gauss伪谱法[J]. 应用数学和力学, 2016,37(6): 655-664.(DONG Xue-yang, GE Xin-sheng. The adaptive Gauss pseudospectral method for the optimal control of spacecraft solar array deployment[J]. Applied Mathematics and Mechanics,2016,37(6): 655-664.(in Chinese))
    [15] 易中贵, 戈新生. 自由下落猫姿态最优控制的混合优化策略[J]. 力学学报, 2016,48(6): 1390-1397.(YI Zhong-gui, GE Xin-sheng. The attitude optimal control with a hybrid optimal strategy for a free-falling cat[J]. Chinese Journal of Theoretical and Applied Mechanics,2016,48(6): 1390-1397.(in Chinese))
    [16] 庄宇飞, 马广富, 黄海滨. 欠驱动刚性航天器时间最优轨迹规划设计[J]. 控制与决策, 2010,25(10): 1469-1473.(ZHUANG Yu-fei, MA Guang-fu, HUANG Hai-bin. Time-optimal motion planning of an underactuated rigid spacecraft[J]. Control and Decision,2010,25(10): 1469-1473.(in Chinese))
    [17] ZHUANG Yu-fei, MA Guang-fu, LI Chuan-jiang, et al. Time-optimal trajectory planning of underactuated rigid spacecraft using differential flatness[J]. Journal of Astronautics,2011,32(8): 1753-1761.
    [18] 吴锦杰, 刘昆, 韩大鹏, 等. 欠驱动航天器相对运动的姿轨耦合控制[J]. 控制与决策, 2014,29(6): 969-978.(WU Jin-jie, LIU Kun, HAN Da-peng, et al. Coupled attitude and orbit control for relative motion of underactuated spacecraft[J]. Control and Decision,2014,29(6): 969-978.(in Chinese))
    [19] 刘延柱, 潘振宽, 戈新生. 多体系统动力学[M]. 2版. 北京: 高等教育出版社, 2014.(LIU Yan-zhu, PAN Zhen-kuan, GE Xin-sheng. Dynamics of Multibody Systems [M]. 2nd ed. BeiJing: Higher Education Press, 2014.(in Chinese))
    [20] 刘延柱. 航天器姿态动力学[M]. 北京: 国防工业出版社, 1995.(LIU Yan-zhu. Spacecraft Attitude Dynamics [M]. Beijing: National Defense Industry Press, 1995.(in Chinese))
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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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