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Rodrigues参数的推广形式 被引量:3

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摘要 介绍了国内外关于Rodrigues参数改进方法及其应用的研究现状.在此基础上,提出了Rodrigues参数的第一推广形式.现有的射影参数和广义Rodrigues参数都是其特例,为统一研究由Rodrigues参数推广而来的各种三参数姿态描述方法提供理论基础.然后,从第一推广形式这一族姿态描述参数中选取一个子族,即Rodrigues参数的第二推广形式.文中给出了第二推广形式与四元数的关系及第二推广形式表示的姿态运动学方程,并讨论了解决Rodrigues参数的第二推广形式奇异性的方法,为飞行器姿态确定和控制算法设计提供了理论基础.
出处 《自然科学进展》 北大核心 2008年第5期488-492,共5页
基金 国家自然科学基金资助项目(批准号:10572114)
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参考文献18

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二级参考文献32

  • 1周江华,苗育红,王明海.姿态运动的Rodrigues参数描述[J].宇航学报,2004,25(5):514-519. 被引量:38
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共引文献46

同被引文献15

  • 1周江华,苗育红,王明海.姿态运动的Rodrigues参数描述[J].宇航学报,2004,25(5):514-519. 被引量:38
  • 2方群,陈记争,马卫华.广义Rodrigues参数姿态描述方法[J].自然科学进展,2007,17(5):672-677. 被引量:3
  • 3Idan M. Estimation of Rodrigues Parameters From Vector Observa- tions [J]. IEEE transactions on aerospace and electronic system, 1996, 32 (2): 578-586. 被引量:1
  • 4Schaub H, Junkins J L. Stereographic orientation parameters for attitude dynamics: a generalization of the rodrigues parameters[A]. AAS/AIAA Spaceflight Mechanics Meeting [C]. Albuquer- que, New Mexico, Feb. 13-1 6, 1995, AAS95-137. 被引量:1
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  • 6T.A.Dwyer.Gibbs Vector Kinematics and Inverse Dynamics for Decoupled Spacecraft Attitude Maneuvers. AIAA86-0257 . 被引量:1
  • 7Schaub H,Junkins JL.Stereographic orientation parameters for attitude dynamics: a generalization of the Rodrigues parameters. Journal of the Astronautical Sciences . 1996 被引量:1
  • 8Shuster M D.A survey of attitude representations. Journal of the Astronautical Sciences . 1993 被引量:1
  • 9Schaub H,Junkins JL.Stereographic orientation parameters for attitude dynamics: a generalization of the Rodrigues parameters. Journal of the Astronautical Sciences . 1996 被引量:1
  • 10刘延柱.航天器姿态动力学[M]国防工业出版社,1995. 被引量:1

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