基于零化相对速度偏角的变结构末制导律设计

针对拦截问题,选取导弹和目标的相对速度矢量与导弹—目标视线之间的夹角（即相对速度偏角）作为滑模面,无须对导弹—目标相对运动学方程进行归一化,且不对弹目速度比进行限制,将有关目标运动的加速度和方位信息视为干扰量,应用变结构理论设计了一种变结构末制导律,并应用Lyapunov理论进行了稳定性分析。仿真结果表明,所设计的导引律对目标机动具有很强的鲁棒性。

Based on Relative Velocity Deflection Angle

For the case of planar interception, the so called relative velocity deflection angle between the relative velocity vector and the LOS （Line of Sight） is chosen as the sliding mode. The terms related to the acceleration and velocity azimuth of the target as disturbances, a terminal guidance law was designed by applying the theory of variable structure control based on the missile-target relative kinematics model. And the stability of the designed guidance law was analyzed by using the Lyapunov theory. The simulation results show that the guidance law has strong robustness to the maneuvering of the target.