基于微分对策的拦截末段突防导弹机动突防制导律研究

Study on Maneuver Penetration Guidance Law of Ballistic Missile Based on Differential Games in the Terminal of Interception

为提高弹道导弹在拦截末段机动突防性能,基于微分对策理论对三维空间中的机动突防制导律进行研究。从视线倾角和视线偏角的变化率模型出发建立拦截-突防双方的运动模型;推导了双方在拦截末段的最优制导律;在Simulink下搭建仿真平台,并选取不同参数组合进行多次仿真。仿真结果表明,本文提出的突防制导律可使脱靶量达到12m,突防效果明显。

For improving the penetration performance of ballistic missile in the terminal of the interception course, this paper analyzes the maneuver penetration guidance law of ballistic missile based on three-dimensional differential games theory. Based on the line of sight angle rate, a moving model about the interception-penetration is set up. And then an optimal guidance law in the terminal of interception is derived about the two parties. Finally, a simulation platform is set up, and simulation is repeated based on different parameter groups. The result of simulation shows that, the penetration guidance law raised in this paper can make a miss distance up to 12 meters with an obvious penetration effect.