带落角约束和目标机动补偿的三维制导律

Three-dimensional guidance law with impact angle constraint and maneuvering target compensation

针对反舰导弹按预定方向攻击机动目标的问题,在目标信息较少的情况下,基于带有目标机动加速度的三维弹目相对运动模型,模型纵向航向通道间存在耦合,从便于工程实现的角度,根据李雅普诺夫稳定性定理以及变结构控制理论,分别设计了两种带落角约束和目标机动补偿的导引律:增广比例导引律(augmented pro-portional navigation guidance law,APNG)和变结构导引律(variable structure guidance law,VSG)。导引律只需要在线测量弹目视线角和视线角的角速度两个变量,并从理论上证明了制导系统的稳定性。仿真结果表明,APNG比传统比例导引(proportional navigation guidance law,PNG)的制导精度明显提高,脱靶量减小。但是比VSG的效果要差一些,尤其是当目标机动加剧时,VSG对于目标机动的鲁棒性更高,优势更为突出。

To control the anti-ship missile attacking the maneuvering target with the expected impact angle,based on the coupled dynamics of the relative motion between missile and target,which the target＇s maneuver acceleration is included,an augmented proportional navigation guidance law（APNG） is designed by using the Lyapunov stability theory,and a variable structure guidance law（VSG） is designed by using the variable structure control theory.The two guidance laws proposed can be implemented conveniently in engineering application with little target information,which are only needed to measure the missile-target line-of-sight angle and the angular velocity online.The stability of the guidance system is proved theoretically,and the numerical simulation result shows that the guidance precision of the APNG is much better than that of the proportional navigation guidance law（PNG）.But compared to the VNG,the APNG has no the superiority,especially when the target maneuvers with high acceleration.