拦截高速机动目标三维联合比例制导律设计

United-proportional-navigation law for interception of high-speed maneuvering targets

针对高速机动目标,提出了三维联合比例制导律.该制导律通过时变导航比将顺、逆轨拦截优势相结合,由2个平面制导律合成三维制导律后,可实现顺顺轨、逆逆轨和顺逆轨结合3种拦截模式,极大地扩展了经典比例制导律捕获区域.在二维条件下,根据目标加速度推导了视线角速率的解析式,设计了时变导航比.将二维联合比例制导律扩展到三维,修正了之前算法中俯仰平面的拦截弹路径倾角与速度计算误差,并给出了目标加速度背离拦截弹的机动模型.仿真结果表明:对于高速机动目标,联合比例制导律捕获区域更大,且较经典比例制导律和负比例制导律脱靶量更低、较增广比例制导律控制力更小.

Aimed to high-speed maneuvering targets, three dimensional united proportional navigation （UPN） law was proposed. The guidance law combines the advantages of head-on and head-pursuit engage- ment through time-varying navigation ratio. The three-dimensional UPN law consisted of two planar laws can execute head-on with head-on, head-pursuit with head-pursuit and head-on with head-pursuit mixed models, which enlarge the capture region of interceptor tremendously. At planar engagement geometry, the analytic expression of line of sight （LOS） angular rate was deduced according to the target acceleration, and the time- variant navigation ratio was designed. While the planar UPN guidance law was extended into a three dimensional condition, the mistake of interceptor path angle and velocity at pitch plane in prior algorithm was modified and the target evading model was given. The simulation results show that, for high speed maneuvering targets, UPN has less miss distance than proportional navigation （PN） and retro proportional navigation （RPN） , less control effort than augmented proportional navigation （APN） and larger capture region than the others.