基于多项式函数求解的落角约束制导律

Impact Angle Constraint Guidance Law Proposed by Polynomial Function

关键词:  落角约束  制导律  终端约束

Key words:  Impact angle constraint  Guidance law  Terminal constraint

摘要:

在攻击坦克、舰艇等特定目标时，需要对导弹的终端落角进行约束，进一步提高战斗部的毁伤效能。针对这一问题,设计了基于多项式函数推导的落角约束制导律。首先在纵向对称平面内建立弹目相对运动学的小扰动线性化模型，利用落角和脱靶量的始端和终端约束条件，推导得到了满足落角约束的制导律的解析表达式。对该制导律进行仿真，仿真结果表明该制导律可以使导弹按照期望落角命中目标。

Abstract:

When attacking specific targets such as tanks and ships, we need to restrict the terminal angle of the missile to further improve the damage performance of the warhead. To solve this problem, we design a guidance law based on polynomial function. First, a small perturbation linear model of the relative kinematics of the projectile is established in the longitudinal symmetric plane. Then, by using the beginning and ending constraits of the impact angle and the miss distance, the analytic expression of the guidance law is derived. The guidance law is simulated, and the simulation results show that the guidance law can make the missile hit the target with the expected terminal angle.