| 基于李群谱配点法的卫星姿态仿真 |
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| 引用本文： | 李益群,吴勃英,王常虹.基于李群谱配点法的卫星姿态仿真[J].导航定位于授时,2017(6):19-23. |
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| 作者姓名： | 李益群 吴勃英 王常虹 |
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| 作者单位： | 1. 哈尔滨工业大学理学院数学系,哈尔滨,150001;2. 哈尔滨工业大学空间控制与惯性技术研究中心,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金面上项目（NSFC11271100） |
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| 摘 要： | 为了提高卫星姿态控制系统仿真的精度、可信性和长时间稳定性,提出了一种基于李群谱配点法的卫星姿态仿真方法。对于李群上动力学系统的仿真,李群谱配点法具有独特的优势,不仅能很好地保持系统的几何结构,而且具有几何收敛性。主要结合李群算法和谱方法各自的优势,给出了几何动力学与控制系统李群谱配点法的构造方法并将该算法应用于欠驱动卫星系统的姿态控制系统仿真中。
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| 关 键 词： | 李群 谱配点法 几何动力学 卫星姿态 |
Lie Group Spectral Collocation Method for the Attitude Simulation of Satellites |
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| LI Yi-qun,WU Bo-ying and WANG Chang-hong.Lie Group Spectral Collocation Method for the Attitude Simulation of Satellites[J].Navigation Positioning & Timing,2017(6):19-23. |
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| Authors: | LI Yi-qun WU Bo-ying and WANG Chang-hong |
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| Institution: | College of Science, Mathematics Department, Harbin Institute of Technology, Harbin 150001, China,College of Science, Mathematics Department, Harbin Institute of Technology, Harbin 150001, China and Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | In order to improve the simulation accuracy, credibility and long-time stability of satellite control systems, an attitude simulation method based on Lie group spectral collocation algorithm is proposed. Lie group spectral-collocation algorithm has its unique advantages for the simulation of dynamical systems evolving on Lie groups. It can not only keep the geometry structure of the system, but also converge geometrically. The construction of Lie group spectral-collocation method is introduced for the simulation of dynamical and control systems and it is applied in the simulation of attitude control of an under actuated satellite. |
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| Keywords: | Lie group Spectral-collocation methods Geometric dynamics Satellite attitude |
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