攻击主动防御飞行器的微分对策制导律

基于微分对策理论设计了躲避护卫弹的同时攻击飞行器的制导律。根据传统的性能指标推导了该场景的微分对策制导律，并且根据权重系数的取值定义了三种制导律：最优追赶制导律、逃脱-追赶制导律和复合制导律。最优追赶制导律容易被护卫弹拦截，逃脱-追赶制导律容易造成导弹和飞行器的零控脱靶量急剧增大而使得攻击失败，复合制导律很难选择合适的权重系数。针对以上不足，提出了两种改进的制导律，并对该两种制导律的适用情况进行了分析。通过非线性模型仿真，验证了这两种方法的可行性。该两种制导律目的性强，攻击导弹可以躲避护卫弹进而攻击飞行器。
Evasion and pursuit guidance laws for the missile attacking the defense aircraft were derived based on the differential game theory. Three guidance laws which are optimal pursuit guidance law, evasion-pursuit guidance law and composite guidance law respectively were derived using a traditional cost function by defining different weight coefficients. If the missile uses the optimal pursuit guidance law, it can be intercepted easily. When the missile uses the evasion pursuit guidance law, the zero miss distance between the missile and aircraft will increase sharply; thus the missile fails to attack the aircraft easily. When the missile uses the composite guidance law, it is hard to choose the reasonable weighting parameters. To overcome these deficiencies, two new guidance laws were investigated and the sufficient conditions for the missile winning the game were analyzed. The two new guidance laws were verified by the nonlinear simulation and the results show that the proposed guidance laws can help the attacking missile evade the defender and attack the aircraft successfully.