讨论了反导拦截高速随机机动再入弹头弹道末段的制导律和滤波器设计。基于线化假设和完全信息对策模型,推导出微分对策制导律(DGL)的表达式。在此基础上考虑一般拦截情形,即非完全信息对策以及测量含噪声,提出采用交互式多模型滤波(IMM)估计状态变量,推导出滤波方程,并与以往方法进行比较,仿真分析表明所提出的算法滤波效果好,运算量低,脱靶量均值小,而且对于未知目标机动模式有很强的适应能力。

The terminal phase of an encounter between an anti-ballistic missile and a re-entry warhead, which performing a random bang-bang evasive maneuver, was addressed. The missile uses a guidance law derived from linear differential game theory (DGL), which is implemented by using an interacting multiple model algorithm (IMM). Compared with the methods used before, the proposed algorithm not only substantially decreases the computational load, but also improves guidance accuracy. Monte Carlo simulations show that the DGL/IMM algorithm performs well even if the target maneuver model is unknown to the guidance system.