拦截主动防御目标的微分对策制导律

doi:10.12305/j.issn.1001-506X.2021.05.22

摘要/Abstract

摘要：

针对目标可以对攻击弹进行主动防御的交战场景, 提出了一种拦截主动防御目标的微分对策制导律。首先, 建立了攻击弹、目标和防御弹的相对运动模型, 并在碰撞三角形附近进行了线性化。然后, 在防御弹采用某种已知的线性制导律的情形下, 把该作战场景中攻击弹与目标的对抗问题, 描述为一个含不等式约束的线性二次型微分对策问题。最后, 基于微分对策理论, 设计了攻击弹的制导控制策略, 可同时达到两个目标: 以某一特定的脱靶量避开防御弹; 对目标实现直接碰撞。仿真结果表明了该制导律的有效性。

关键词: 主动防御, 制导律, 微分对策, 不等式约束

Abstract:

For the scenario where the target can actively defend against the attacking missile, a differential game guidance law for intercepting the active defense target is proposed. Firstly, the relative motion models of attacking missle, target and defending missle are established, and linearization around the current collision triangles is performed. Secondly, assuming that the defending missile is using a known linear guidance law, the confrontation problem between the attacking missile and the target is described as a linear quadratic differential game problem with inequality constraint. Finally, based on the differential game theory, the guidance law of the attacking missile is designed. Using the guidance law, two objectives can be achieved simultaneously, which are evasion from the defending missile with specified miss distance; perfect interception of the target. Simulation results show the high performance of the guidance law.

Key words: active defense, guidance law, differential game, inequality constraints

中图分类号:

V448.133

张浩, 张奕群, 张鹏飞. 拦截主动防御目标的微分对策制导律[J]. 系统工程与电子技术, 2021, 43(5): 1335-1345.

Hao ZHANG, Yiqun ZHANG, Pengfei ZHANG. Differential game guidance law for intercepting the active defense target[J]. Systems Engineering and Electronics, 2021, 43(5): 1335-1345.

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参数	符号	取值
攻击弹和目标的初始相对距离/m	y_AT₀	0
攻击弹和目标的初始相对距离变化率/(m/s)	${\dot y_{A{T_0}}}$	0
攻击弹和防御弹的初始相对距离/m	y_AD₀	0
攻击弹和防御弹的初始相对距离变化率/(m/s)	${\dot y_{A{D_0}}}$	0
攻击弹的初始位置/m	(x_A₀, y_A₀)	(0, 0)
目标的初始位置/m	(x_T₀, y_T₀)	(10 800, 0)
防御弹的初始位置/m	(x_D₀, y_D₀)	(10 800, 0)
攻击弹的速度/(m/s)	V_A	600
目标的速度/(m/s)	V_T	300
防御弹的速度/(m/s)	V_D	600
攻击弹的时间常数/s	τ_A	0.1
目标的时间常数/s	τ_T	1
防御弹的时间常数/s	τ_D	0.8
防御弹的导航比	N′_D	3

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