比例导引原理的三维模糊导引律设计

Design of a 3-dimensional fuzzy logic control guidance law based on PNG approaching theory

主要针对三维空间导弹拦截问题,基于比例导引原理设计了三维空间的模糊导引律。首先运用投影的方法将三维导引问题分别投影到两个平面中,将三维空间的运动分解为纵向平面和侧向平面两个平面内的运动。导引律的设计以模糊逻辑推理为基础,运用比例导引原理将竖直视线角速度、水平视线角速度、导弹与飞机的接近速度作为输入量,输出量分别是导弹加速度在oxy(纵向平面)、oxz(侧向平面)平面内的两个分量,模糊分区采用归一化的方法。经仿真验证,模糊导引的脱靶量和加速度均在理想的范围。

Missile interception in three-dimensional space is studied in this paper. We designed a 3-dimensional fuzzy logic control guidance law based on PNG approaching theory. First we used a projective method to project the 3-dimensional guidance issue into two planes, so the 3-D movement is decomposed into two 2-D movements in a lognitudinal and a lateral plane. The design of the guidance law was based on fuzzy logic control method, and we took horizontal line of sight angle velocity, vertical line of sight angle velocity and approaching velocity of missile-to-interceptor as inputs by using PNG approaching theory, the outputs were yaw and pitch acceleration commands of missile. Variables were all set in range [- 1,1 ] in order to predigest operation. It is proved that the fuzzy logic guidance law is effective, the miss distance and acceleration over loading are both kept in an appropriate scope.