双拦截弹拦截单目标边界型微分对策制导律研究

针对战术弹道导弹、高超声速巡航导弹和无人飞行器等新型具有高机动性能的防空目标,为提高成功拦截的概率,采用多枚拦截弹进行拦截。应用微分对策理论,将双拦截弹拦截单目标的末段制导问题建模为“二对一追踪-逃逸”对策模型。考虑最大加速度约束,研究了两枚拦截弹的拦截空间分解和对策空间分布,并通过仿真研究了制导律性能。结果表明：采用两枚拦截弹拦截时,脱靶量对目标机动方向的转变时间具有很好的鲁棒性。

Bounded Differential Games Strategies with Two-Pursuit Single-Evader

In order to intercept the future target such as tactical ballistic missile (TBM) and supersonic cruise missile (SCM) and unmanned aerial vehicle (UAV) witch are characterized by high maneuvering capability, multiple interceptors may be launched and aimed at single target. The end-game guidance of intercepting single target with two missiles is modeled as a two-pursuit single-evader game model and solved by bounded differential game theory. The intercept space decomposition and game space structure are investigated and homing performance are demonstrated by simulations of a realistic ballistic missile defense scenario. Results show that: the miss distance has robust performance with respect to the maneuvering direction changing time by utilizing two interceptors.