攻击机动目标的DGG捕获能力

Capture capability of DGG against maneuvering targets

为克服传统基于伏雷内(Frenet)标架获取捕获条件的复杂性,基于相对速度坐标系,研究了拦截机动目标时微分几何制导律的捕获能力。首先,根据弹目相对运动学关系,推导了时域下攻击机动目标的微分几何制导指令,并定义了相对速度坐标系;其次,基于相对速度坐标系,将弹目运动轨迹区域分割成3个不同的区域,针对目标机动的不同方向,根据弹目相对运动初始信息,对3个不同的分割区域及其边界分别进行捕获能力研究,并结合平面几何知识进行证明推导。最后通过仿真表明,分析的微分几何制导律捕获条件是正确和有效的。

In order to overcome the complexity of the capture conditions in the Frenet coordinate system, the capture capability of the differential geometric guidance law attacking maneuver targets is analyzed based on the Frenet coordinate system.Firstly,based on the missile and target relation,the geometric guidance command in time domain is derived,also the relative velocity coordinate system is built to analyze the capture condition for convenience.Secondly,based on the direction of the target acceleration,the relative motion area between missile and target is partioned into three subsets,then the initial condition for capture is obtained in the three subsets and their boundary,the course is also derived and proved combined with knowledge of plane geometry. Simulation results show that the capture conditions of the differential geometric guidance law analyzed are correct and effective.