攻防对抗机动过载关系分析

An Analysis of Maneuvering Overloads in Attack-Defense Confrontation

针对攻防对抗中具有高机动性的突防弹进行机动躲闪,基于线性二次型微分对策理论,建立了攻防对抗线性化运动模型,分析了拦截弹在完全理想情况下实施有效拦截所需具备的最小过载能力与被拦截目标机动过载能力之间的关系,定量地给出了实现零脱靶拦截的对抗过载比应满足条件的解析形式。在考虑拦截弹在初始时刻零控脱靶量为零的条件下,给出了拦截区域和突防区域与对抗过载比、动力学响应时间常数比等参数的关系。通过建立双方过载对抗关系的理论,得到理论分析结果,通过减小双方初始距离或增大相对运动速度可以降低实现有效拦截对过载比的要求。

A linearized motion model of attack-defense confrontation against the highly maneuverable penetrator is developed based on the theory of linear quadratic differential game.The relationship between the required minimum overload of interceptor and the maneuvering overload of penetrator is studied under the condition that the interceptor can successfully intercept the penetrator in the ideal case.The analytical forms of the condition that the ratio of confrontation overloads should satisfy for the interceptor implementing the perfect intercept are derived.Based on the condition that the initial zero effort miss is zero,relationship between interception zone and penetration zone and some parameters such as the ratio of maneuvering overload and dynamics response time constant are developed.By establishing a theory of the relation between the two sides＇ confrontation overloads,the theoretical results are obtained.The results show that a smaller initial distance and a greater closing velocity could reduce the requirement of the overload ratio for implementing the perfect intercept.