具有终端约束的线性二次型微分对策制导律  

Linear Quadratic Differential Game Guidance Law with Terminal Constraints

作　　者：花文华[1] 刘杨[2] 陈兴林[2] 宋申民[2] 

机构地区：[1]洛阳光电技术发展中心,河南洛阳471009 [2]哈尔滨工业大学航天学院,黑龙江哈尔滨150001

出　　处：《兵工学报》2011年第12期1448-1455,共8页Acta Armamentarii

基　　金：国家自然科学基金重大合作项目(607201060062)

摘　　要：主要针对具有终端碰撞角度约束的线性二次型微分对策制导问题进行研究。首先,采用终端投影法定义零效脱靶量和零效碰撞角作为新的状态变量,实现了系统降阶;然后,基于零和微分对策原理,进行制导律的推导,并对导航增益、鞍点解的存在域和理想拦截性能进行了分析;最后,分别针对目标作常值机动和方波机动2种情况对系统性能进行了仿真。结果表明,当导弹具有足够的机动能力时,可满足较小的脱靶量和碰撞角误差要求,从而改善导弹杀伤性能。The linear quadratic differential game guidance problem with terminal constraints is studied.Firstly,zero-effort miss distance and zero-effort impact angle are defined as new state variables to reduce the order of the system by use of terminal projection method.Then,based on the zero-sum differential game theory,a guidance law is derived.The navigation gains,the existence regions of saddle-point solution and the performance of perfect interception are analyzed.Finally,the simulations are carried out for the constant maneuvering target and the square wave maneuvering target interception,respectively.The results show that this guidance law can satisfy the requirements of small miss distance and impact angle error to improve the warhead lethality when the missile has enough maneuvering capability.

关 键 词：飞行器控制、导航技术 末制导律 微分对策 碰撞约束 

分 类 号：V448.133[航空宇航科学与技术—飞行器设计]