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弹箭与制导学报 >

2011 , Vol. 31 >Issue 5: 1 - 3,12

DOI: https://doi.org/10.15892/j.cnki.djzdxb.2011.05.052

导弹与制导技术

基于双方最优控制的微分策略制导

  • 罗生 ,
  • 孙卫国 ,
  • 张萍 ,
  • 杨永胜
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  • 1 上海交通大学航空航天学院,上海 200240
    2 中国空空导弹研究院,河南洛阳 471009

罗生(1979-),男,辽宁抚顺人,工程师,硕士研究生,研究方向:导航制导与控制。

收稿日期: 2010-12-15

  网络出版日期: 2025-05-30

基金资助

航空基金(20090112002)资助

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The Differential Game Guidance Law Design Based on Two-sided Optimal Control

  • LUO Sheng ,
  • SUN Weiguo ,
  • ZHANG Ping ,
  • YANG Yongsheng
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  • 1 School of Aeronautics and Astronautics, Shanghai Jiaotong University, Shanghai 200240, China
    2 China Airborne Missile Academy, Henan Luoyang 471009, China

Received date: 2010-12-15

  Online published: 2025-05-30

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摘要

为了提高导弹攻击大机动目标的制导能力,文中提出了双边最优的微分策略制导律。并针对数学上难于求解的两点边值问题,创新性的采用了伴随方法进行求解。在导弹和目标均为一阶时间延迟下推导出微分对策制导的公式,通过与扩展比例导引、单边最优制导的仿真比较,考察脱靶量和控制能量两个指标,得出微分策略制导在理论上的先进性。

关键词： 微分对策; 制导律; 最优控制; 脱靶量; 机动目标

本文引用格式

罗生 , 孙卫国 , 张萍 , 杨永胜 . 基于双方最优控制的微分策略制导[J]. 弹箭与制导学报, 2011 , 31(5) : 1 -3,12 . DOI: 10.15892/j.cnki.djzdxb.2011.05.052

Abstract

In order to improve missile guidance ability to attack targets with large maneuverability, a two-sided optimal differential game guidance law was presented in this paper. A novel adjoint method was introduced to solve a two-point boundary value problem which is difficult in mathematics. The formula of the differential game guidance law was deduced in the case of first order time lag of missiles and targets. Compared with the simulation of the ideal proportional navigation and the one-sided optimal guidance law, the differential game guidance law is known to be an optimal solution, which minimizes the cost functional and miss distance.

Key words： differential game; guidance law; optimal control; miss distance; maneuverable target

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参考文献

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