针对导弹平面拦截问题,利用弹-目几何关系设计出一种新的用于攻击机动目标的非线性几何导引律NGG(nonlineargeometricguidance)。首先建立导引关系式,通过弹目运动关系得出平面拦截问题的非线性相对运动方程,然后由数学方法推导出成功拦截的条件。仿真研究表明,对高机动目标拦截效果明显,并与用于打击机动目标常用的扩展比例导引律APN(augmentedproportionalnavigation)相比较,在初始发射弹道倾角比较大时,NGG导引的脱靶量明显小于APN导引。

Aiming at the planar interception problem of missile, a new kind of non-linear geometric guidance law for intercepting the high maneuvering target by using missile-target geometric relationship was presented. First of all, the guidance relationship model was built, the use of relative motion relationship between missile and target could help us to derive the general form of nonlinear relative motion equations in plane interception problems, then the necessary condition of successful interception through mathematical method was analyzed. Computer simulations prove its wonderful performance for maneuvering targets. Compared with augmented proportional navigation law commonly used to attack a maneuvering targets, this guidance law has less miss distance when the missile requiring a large initial flight-path angle.