三维RTPN的追踪导引研究

描述三维RTPN导引的模型是超越非线性微分方程组，不易求解．常规的方法是进行线性化。通过坐标系的变换和引入辅助向量获得了解析的捕获域和截获时间，并在三维空间内对这种追踪导引过程进行了仿真验算。理论分析和仿真表明：所设计的追踪导引律，能使整个追逃过程是在一个由初始相对距离和初始相对速度确定的平面内进行；当导弹采用RTPN导引，目标分别以IPN、RTPN逃逸和非机动飞行时，拦截TPN逃逸导引的目标能量消耗大，截获时间长，捕获域小。

Study on Pursuit Guidance Based on 3D RTPN

A set of transcendent nonlinear differential equations is used to describe the 3D pursuit scenario, but it is difficult to be resolved analytically, the linearization method is often used. In this paper, however, the capture set and time of interception are obtained analytically by coordinating transformation and exploiting of accessorial vector. And pursuit-evasion scenario, in three-dimensional space, has been verified by 3D simulation. A conclusion can be drawn that the IPN-guided target is more difficult to intercept, as a result it costs more energy consumption and longer interception time of the missile, as well as with smaller capture set, than other kind of maneuver target, such as RTPN. Besides, the pursuit-evasion scenario is in a plane, which is decided by initial relative distance and velocity.