再入飞行器中制导段微分对策式主动机动方法研究

Autonomous Anti-interception Penetration based on Differential Games for Reentry Vehicle on Mid-course Gliding Guidance

针对再入飞行器滑翔中制导段的主动机动反拦截问题,提出了一种基于微分对策解析解的主动式机动反拦截制导方法。通过对博弈双方相对运动的建模分析,构建脱靶量和能量消耗相关的对策性能指标,在合理假设的基础上求解出基于微分对策理论的解析制导指令;在比例导引拦截器逆轨前置拦截的博弈场景下,基于CAV-H飞行器数学模型进行仿真校验,将所设计制导方法与无机动、正弦机动等情况进行反拦截效果的对比分析,验证该算法具有更强的机动性能,造成的最终脱靶量大、反拦截一方制导指令波动小,且算法结构简单、易于工程实现。最后,针对微分对策制导律在不同过载限制下的飞行状态进行仿真分析,认为在实际工程应用中应综合考虑飞行器能量消耗和机动反拦截效果,限定需用过载幅值,实现有效机动反拦截的同时,尽可能降低飞行器自身能量消耗。

For the problem of autonomous anti-interception penetration strategy of reentry vehicle on mid-glide phase,a method of active maneuver guidance based on the analytical solution of the differential game is proposed.Through the modeling analysis of the relative movement of the two parties in the game,establish countermeasure performance indicators related to miss distance and energy consumption.On the basis of reasonable assumptions,the analytical guidance commands based on the differential game theory are solved.In the game scenario of proportional guidance interceptor,simulation verification based on the mathematical model of CAV-H,the anti-interception effect of the designed guidance method is compared with that of no maneuver and sinusoidal maneuver.It is verified that the algorithm has stronger maneuverability,the final miss is large,the guidance command fluctuation of reentry vehicle is small,and the algorithm structure is simple and easy to implement in engineering.Finally,according to the flight state of the differential strategy guidance law under different overload limits,simulation analysis is carried out,the energy consumption of the vehicle and the maneuvering anti-interception effect should be considered comprehensively,and the required overload amplitude should be limited to achieve effective maneuvering anti-interception and reduce energy consumption of reentry vehicle as much as possible.