宇航总体技术2024,Vol.8Issue(2) :39-45.

基于正则摄动理论的无动力飞行器末段制导方法

Final Guidance Law of Glide Vehicle Based on Regular Perturbation Method

孟静伟 赵鹏雷 杨宇和 石宝兰
宇航总体技术2024,Vol.8Issue(2) :39-45.

基于正则摄动理论的无动力飞行器末段制导方法

Final Guidance Law of Glide Vehicle Based on Regular Perturbation Method

孟静伟 1赵鹏雷 1杨宇和 1石宝兰1
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作者信息

  • 1. 北京宇航系统工程研究所,北京 100076
  • 折叠

摘要

以无动力飞行器末制导问题为研究对象,用正则摄动理论对其纵向弹道方程进行处理.在零阶方程中考虑重力和气动力的主导部分,在一阶方程中考虑重力和气动力的剩余部分,进而获得了弹道方程的解析解,仿真证明了该解析解具有较高的计算精度和计算效率.基于弹道解析解所获得的脱靶量,提出了正则摄动制导方法,仿真证明了该方法具有最优性.

Abstract

The regular perturbation method is applied to solving the trajectory equation of glide ve-hicle in the final guidance stage.Most of the gravity and aerodynamic forces are considered in the zero order equation,and the residual gravity and aerodynamic forces are considered in the first or-der equation.The analytical solution of the trajectory equation is obtained by analytical integration.The simulation results show that the analytical solution has high accuracy and compu-tational efficiency.Based on miss distance generated by analytical solution,guidance based on reg-ular perturbation method is proposed.The simulation results prove that this guidance law has op-timality in control.

关键词

正则摄动/导引律/解析解

Key words

Regular perturbation method/Guidance law/Analytical solution

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出版年

2024
宇航总体技术

宇航总体技术

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