一种适用于拦截高速目标的末段导引律

基于在视线坐标系中的导弹-目标相对运动模型，以控制导弹-目标视线角速度趋于零为基本思想，设计了一种末制导律，用于拦截高超声速目标。以脱靶量和能量消耗为约束条件，以目标无机动时有很好的性能为目的，首先设计了最优制导律；然后，基于滑模控制理论，选择合适的滑模趋近律，对所设计的最优制导律进行改进得到最优滑模制导律；用李雅普诺夫理论证明了该制导律的稳定性，分析了该制导律参数选择条件。仿真结果表明，与最优制导律相比，所设计的制导律对目标机动有较强的鲁棒性，能以直接碰撞的方式拦截高超声速目标。

A Terminal Guidance Law for Intercepting Hypersonic Target

Based on missile-target motion model under LOS coordinate system, aimming at controlling the line-of-sight rate tends to zero, a terminal guidance law is designed to intercept the hypersonic target. On constraint condition of miss distance and energy consumption, optimal guidance law is designed whose performance is good for target without acceleration. Then with the results of optimal guidance law and sliding mode control theory, the optimal-sliding mode guidance law is presented by selecting appropriate sliding mode reaching law. Lyapunov theory is used to prove the stability, and how to choose the parameters of this guidance law. Simulation results show that the presented guidance law has better robustness for maneuvering target than optimal guidance law, and can intercept the hypersonic target by the way of direct collision.