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Three-dimensional United Biased Proportional Navigation Guidance Law for Interception of Targets with Angular Constraints
Received date: 2013-09-21
Revised date: 2013-12-19
Online published: 2013-12-25
Supported by
National High-tech Research and Development Program of China
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.
YAN Liang , ZHAO Jiguang , SHEN Huairong , LI Yuan . Three-dimensional United Biased Proportional Navigation Guidance Law for Interception of Targets with Angular Constraints[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(7) : 1999 -2010 . DOI: 10.7527/S1000-6893.2013.0498
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