针对攻击弹如何在地面目标发射防御弹的情况下对目标进行有效打击的问题, 建立了三方博弈交战运动学模型, 构造了融合脱靶量和需用过载的目标函数, 提出了一种考虑一阶自动驾驶仪动力学的微分对策制导律。在防御弹采用三点法制导拦截的前提下, 分别对攻击弹以比例导引和微分对策制导的制导策略进行仿真验证, 最后通过分析过载约束和终端条件证明了所提方法的有效性。

Aiming at the problem of how the attacking missile strikes the ground target effectivelywhich defends the attacking missile by launching defensive missilea three-body game engagement kinematics model is establishedan objective function integrating miss distance and required acceleration is constructed and a differential game guidance law considering first-order kinetics autopilot is proposed.On the premise of three-point guidance and interception of defense missilethe guidance strategies of proportional guidance and differential game guidance of attack missile are simulated and verified respectively.Finallythe effectiveness of the proposed method is proved by analyzing acceleration constraints and terminal conditions.