导航

ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2014, Vol. 35 ›› Issue (7): 1999-2010.doi: 10.7527/S1000-6893.2013.0498

• Electronics and Control • Previous Articles     Next Articles

Three-dimensional United Biased Proportional Navigation Guidance Law for Interception of Targets with Angular Constraints

YAN Liang1, ZHAO Jiguang2, SHEN Huairong1, LI Yuan1   

  1. 1. Department of Spaceflight Equipment, Academy of Equipment, Beijing 101416, China;
    2. Department of Scientific Research, Academy of Equipment, Beijing 101416, China
  • Received:2013-09-21 Revised:2013-12-19 Online:2014-07-25 Published:2013-12-25
  • Contact: 10.7527/S1000-6893.2013.0498 E-mail:yanliangbj@163.com
  • Supported by:

    National High-tech Research and Development Program of China

Abstract:

It is a challenging task to design a guidance law which can intercept not only high-speed targets, but also low-speed targets with impact angle constraints. In this paper, a new guidance law called united biased proportional navigation (UBPN) is proposed. The guidance law uses time-varying rate bias and navigation ratio and incorporates the advantages of head-on and head-pursuit engagement. UBPN can intercept low-speed targets with positive time-varying navigation ratios, which is head-on engagement, as well as high-speed targets with negative time-varying navigation ratios, which is head-pursuit engagement. The precise time-varying bias and solution to the singularity in time-varying navigation ratio are given, and the solution of how to use a 2D impact angle to derive a 3D impact angle is presented. Finally, the simulation results compared with proportional navigation, retro-proportional navigation and bias proportional navigation guidance law are shown, which demonstrate that the miss distance and impact angle error of this guidance law can meet the requirements.

Key words: missiles, target tracking, guidance law, united biased proportional navigation, proportional navigation, biased proportional navigation, impact angle, high-speed targets

CLC Number: