针对拦截弹末制导全局稳定设计复杂、计算量大等问题,采用局部稳定性理论来设计导引律。首先应用有限时间稳定性理论对导弹的拦截时间进行估计。进一步对系统变量进行分析,选取主要变量构成子系统,证明其稳定性,并由局部稳定推出全局稳定。该导引律确保视线角速率在有限时间内收敛至零,且数学模型简单,易于工程实现。仿真结果表明,在目标做高速机动逃逸时,该导引方法仍具有较好的拦截效果。

In view of terminal guidance of interceptor, because of complex design of global convergence and large amount of calculation and so on, it could be an easier way to design the guidance law by using the local stability theory. First, the intercepting time of the missile was estimated by the finite-time stability theory. Then, the system variables were analyzed and the main variables were selected to constitute subsystems for proving their stability, and deducing global stability by local stability. This guidance law could guarantee line-of-sight rate to converge to zero in a finite-time, and its mathematical model is simple and easy to implement in engineering. The results show that, when the target is making high-speed maneuvering to escape, the guidance law still has a better effect in intercepting.