带落角和落点约束的空地导弹最优制导律设计

摘要

In order to improve the damage effect , an optimal vertical diving attack guidance law with impact angle and final position constraints for air-to-ground missile is proposed .Firstly, two-dimensional motion model and linear model for missile and target relative motion are established .Secondly, optimal guidance law with impact angle and final position constraints is deduced by Schwartz inequality .Thirdly, the engineering application of trajectory shaping guidance law is obtained based on small angle assumption . The simulation results show that this guidance law can get ninety degree impact angle under the condition of miss distance, which approximates at zero to realize an optimal vertical diving attack .%为了提高武器战斗部的毁伤效果，研究了一种带有落角和落点约束的空地导弹近垂直俯冲攻击最优制导律。首先，在二维平面内建立了弹目相对运动关系模型和导弹制导线性化模型。其次，结合Schwartz不等式，推导了带落角和落点约束的最优制导控制律。然后，在小角度假设的前提下，将所设计的最优制导律描述为便于工程应用的弹道成形制导律。最后，进行了仿真验证，结果表明，采用所设计的最优制导律，在满足脱靶量近似为零的前提下，终端落角可达到-90°，实现了近垂直俯冲攻击。