多弹最优协同诱导突防制导律

针对多弹协同突防问题提出了一种最优协同诱导突防制导律，基于诱导碰撞策略实现有效突防。首先构建了多弹协同对抗非线性模型，并基于零控脱靶量和零控碰撞角进行线性化。然后考虑拦截弹和进攻弹均为二阶驾驶仪动力学特性条件下，将各拦截弹碰撞距离和拦截弹碰撞角扩展到状态方程中，并利用状态转移矩阵降低状态方程维度。在此基础上,设计包含碰撞角约束的快收敛扩展性能指标函数，采用碰撞时间匹配策略推导出多弹最优协同诱导解析制导律的一般形式，并给出2枚进攻弹对2枚拦截弹典型场景下的突防制导律。最后通过典型场景仿真验证了最优协同诱导突防制导律的有效性。

Guidance Law for Multi Missile Optimal Cooperative Lured Penetration

A new multi missile synergistic penetration guidance law for cooperative engagement of multiple missiles is proposed to achieve effective penetration based on the induced collision strategy. Firstly, the nonlinear model of multi missile cooperative countermeasures is constructed, and linearized based on the zero effort miss distance and zero effort collision angle. Then, considering that the interceptors and attackers are both second order pilot dynamics, the collision distance and collision angle of each interceptor are extended to the equations of state. And then, the state transition matrix is used to reduce the dimension of the state equations. The collision time matching strategy is used to derive the general form of the multi missile optimal synergistic guidance law, and the penetration guidance law in a typical 2V2 scenario is derived. Finally, the effectiveness of the optimal synergistic lured penetration guidance law is verified by simulation of typical scenarios.