可实现以期望角度过顶迂回打击的制导律设计

在已有的小型导弹角度约束制导律设计中,对敌方目标打击角度约束范围往往有限。为了扩大角度约束的可行范围,实现对目标的全方位打击,基于双圆弧原理设计了可实现过顶迂回打击的制导律。首先,建立了导弹的末制导段相对运动模型,然后对双圆弧曲线拟合的原理进行了介绍和推导证明,对于两段圆弧的关键参数进行了推导,最后基于该原理设计了一种可从任意角度打击目标的制导律。仿真结果表明,该制导律能够实现的角度约束范围相对偏置比例导引律大幅提升,可以实现对固定目标的过顶迂回打击,控制命中角度能力较强,末端过载的峰值较小,控制能量也远小于BPNG(biased proportional navigation guidance law),命中精度满足要求,具备较好的工程应用价值。

Design of a Guidance Law which can Achieve Overhead-Attacking with Desired Angle

In the design of existing guidance law for small missiles,the range of angle constrainsts is often limited.In order to expand the feasible range of angle constraints and achieve a full range of striking on the target,a guidance law which can achieve overhead attacking based on the principle of double arcs was designed.Firstly,the missile target relative motion model of terminal guidance phase was constructed,and the principle of double arcs curve fitting was proved and the key parameters were deduced.Finally,the guidance law was designed based on the principle,which can strike the target from any angle.The simulation results showed that the range of the feasible angle is greatly expanded,the guidance law even can lead to overhead attacking.Besides,the guidance scheme has a strong ability to control the impact angle,the overload near the hit point of the guidance law is much smaller than the biased PNG,the energy consumed is much less than BPNG,and the guidance scheme can satisfy the miss distance requirements.The significance of engineering is obvious.