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

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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

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