›› 2011, Vol. 31 ›› Issue (2): 25-31.doi: 10.3780/j.issn.1000-758X.2011.02.004

• 研究探讨 • 上一篇    下一篇

月球精确软着陆李雅普诺夫稳定制导律

梁栋1,2, 刘良栋1, 何英姿1,2   

  1. (1 北京控制工程研究所,北京 100190) (2 空间智能控制技术国家级重点实验室,北京 100190)
  • 收稿日期:2010-10-12 修回日期:2010-12-09 出版日期:2011-04-25 发布日期:2011-04-25
  • 作者简介:梁 栋 1982年生,2007年获中国空间技术研究院控制理论与控制工程专业硕士学位,现为中国空间技术研究院控制理论与控制工程专业博士研究生。研究方向为深空探测航天器自主控制。

Guidance Law for Lunar Pinpoint Soft LandingBased on Lyapunov Stability Theory

 LIANG  Dong1,2, LIU  Liang-Dong1, HE  Ying-Zi1,2   

  1. (1 Beijing Institute of Control Engineering,Beijing 100190) (2 National Key Laboratory of Science and Technology on Space Intelligent Control,Beijing 100190)
  • Received:2010-10-12 Revised:2010-12-09 Online:2011-04-25 Published:2011-04-25

摘要: 为实现在月球表面期望的着陆点进行精确软着陆,以月球精确软着陆三维球体非线性轨道动力学模型为基础,采用李雅普诺夫直接法,构造了基于能量的李雅普诺夫函数,设计了跟踪收敛滑动模态的精确制导律,并通过李雅普诺夫稳定性理论证明了该制导控制律的全局指数稳定性,给出矢量推力实现方法。仿真表明,该制导方法能够满足月球精确软着陆的需要。

关键词: 李雅普诺夫稳定, 精确软着陆, 滑动模态, 制导, 月球探测

Abstract: To achieve the pinpoint soft landing on a target landing site of the lunar surface, a globally exponentially stable guidance method for lunar pinpoint soft landing was studied by the 3-D spherical nonlinear orbit dynamics model.Based on Lyapunov direct method, a pinpoint guidance law tracking convergent sliding mode was designed. It was theoretically proved that the guidance law was globally exponentially stable by using Lyapunov stability theory. The numerical simulation results show that this guidance method can meet the need of lunar pinpoint soft landing.

Key words:  Lyapunov stability, Pinpoint soft landing, Sliding mode, Guidance, Lunar exploration