Journal of Astronautics ›› 2017, Vol. 38 ›› Issue (3): 262-269.doi: 10.3873/j.issn.1000-1328.2017.03.006

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Research on Application of Pseudo Spectral Method in Online Guidance Method for a Launch Vehicle

ZHANG Zhi guo, YU Meng lun, GENG Guang you, SONG Qiang   

  1. Beijing Institute of Aerospace System Engineering, Beijing 100076, China
  • Received:2016-09-05 Revised:2017-01-03 Online:2017-03-15 Published:2017-03-25


The study conducts an application research on the guidance law design of the ascent trajectory for a launch vehicle based on the Gauss pseudo-spectral method (GPM). During each period, high efficiency and high precision trajectory optimization numerical methods are used to design the current guidance law. Through making appropriate choices about the number of nodes and the period of guidance, this method is not only to reduce the calculation time, but also to solve the constrained problem rapidly. Compared to the iterative guidance method, the GPM guidance method is much more easily to deal with the constrained problem under the same orbit injection precision. Simulations indicate that this method can also effectively deal with a variety of deviations, so it is very closer to the engineering application.

Key words: Pseudo spectral method, Real time online guidance, Trajectory optimization, Nonlinear programming (NLP)

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