有界双重控制导弹微分对策制导律

针对有界控制导弹采用鸭舵或尾舵单一控制形式存在的劣势，基于双边优化微分对策理论，推导了一种有界双重控制导弹微分对策制导律。该制导律不仅将鸭舵与尾舵两组舵面的控制有效融合在一起，而且实现了有界控制命令最优的分配设计。分析了该微分对策制导律的对策空间，并从弹目机动性能比和控制系统时间常数比之间的关系，给出了鞍点解的存在条件。考虑非完全信息情形，完成了目标加速度滤波器和拦截性能衡量指标的设计。采用Monte Carlo法进行了制导性能的仿真验证，结果表明:所设计的有界双重控制导弹制导律与采用单一的鸭舵控制或尾舵控制的导弹相比不仅机动性要求较低，且具有较高的命中概率。 

Differential game guidance law for dual and bounded controlled missiles

Due to disadvantages of single canard fin control or tail fin control for bounded-control interception missiles, a novel dual and bounded controlled differential game guidance law is presented based on two-sided optimization differential game theory. This guidance law realizes fusion of these two fin controls and optimal distribution of control commands. The differential game space of this guidance law is analyzed and the existence conditions of saddle point solution are studied from the relationships between maneuvering performance ratio and time constant ratio of the two-sided control systems. With the consideration of imperfect information scenario, a filter for target accelerations and a performance index for target interception are presented. Based on Monte Carlo method, simulations are carried out and the results show that this dual and bounded controlled guidance law has higher single shot kill probability and lower maneuvering performance requirements compared with the single-controlled scenario.