考虑目标安全性的最优协同拦截制导律研究

Research on an optimal cooperative interception guidance law considering target safety

针对目标和其发射的拦截弹对来袭攻击弹进行协同拦截问题,设计了一种最优协同拦截制导律。建立描述目标、攻击弹和拦截弹三者相对运动关系的模型,引入零控脱靶量对模型进行降阶处理。考虑拦截弹对攻击弹的拦截精度、拦截末端时目标的安全性以及目标、拦截弹的控制能量问题,基于攻击弹-拦截弹零控脱靶量、攻击弹-拦截弹终端横向相对运动速度零控脱靶量、目标-攻击弹零控脱靶量以及目标和拦截弹的加速度,建立了性能指标函数,同时考虑目标和拦截弹加速度的有限性,基于极小值原理设计了最优协同拦截制导律。仿真结果表明,相比目标和拦截弹独立飞行的情况,采用协同拦截制导律,在考虑了目标安全性的前提下,机动性较弱的拦截弹能够以较平直的弹道成功拦截攻击弹。

With regard to the target and interceptor launched by it cooperatively intercept the attacking missile, an optimal cooperative interception guidance law is designed. Establish the model which describes the relative motion of target, offensive missile and introduce zero-effort miss to degrade the model. The performance-index function is established with the consideration of intercepting accuracy of the interceptor missile to the offensive missile, the target safety when intercepting the terminal, and the control energy of target and interceptor missile, based on the zero-effort miss of offensive missile-interceptor missile, lateral relative motion zero-effort miss of offensive missile-interceptor missile terminal, target-offensive missile zero-effort miss and acceleration of target and interceptor missile. Considering the limitation of accelerations of target and interceptor missile, an optimal cooperative interception guidance law is designed by using minimum principle. The simulation results show that compared with the target and the interceptor missile’s independent flight, under the premise of considering the target security, the less flexible interceptor missile can successfully intercept the offensive missile with a relatively straight trajectory when adopting the cooperative interception guidance law.