摘要
以大气层内导弹逆轨拦截高速机动目标为背景,本文运用最优控制和双曲正切函数设计带角度约束的三维最优制导律。分别假设导弹弹道倾角和弹道偏角保持瞬时恒定,将三维制导分解为两个相互垂直平面内的二维制导。考虑导弹速度时变的情况,建立带角度约束的制导方程。设计一种双曲正切函数的变种,并将其设为脱靶量和角度约束的权重系数,根据极小值原理推导了最优制导律的解析表达式。双曲正切函数变种的引入,使得制导律对脱靶量和角度约束的要求是逐渐增强的,可以解决传统最优制导律初始段过载指令过大的问题。仿真结果表明了该制导律的有效性。
In the background of counter parallel intercepting high-speed maneuvering targets in the atmosphere,the optimal control and hyperbolic tangent function are employed to design a three dimensional optimal guidance law with impact angle constraints in this paper.Assuming that the flight path angle and heading angle keep instantaneous constant,the three-dimensional guidance design is decomposed into two two-dimensional guidance designs in two planes perpendicular to each other.Considering the time-varying speed of missile,a guidance equation with angle constraint is established.A variant of the hyperbolic tangent function is designed and set as the weighting coefficients of miss distance and intercept angle constraints.An analytic expression of the optimal guidance law is derived according to the minimum principle.The introduction of a variant of the hyperbolic tangent function makes that guidance law’s requirement on miss distance and intercept angle constraint gradually increase,and can solve the problem of overloading in initial stage of the traditional optimal guidance law.The simulation results show the effectiveness of the proposed guidance law.
作者
熊少锋
魏明英
赵明元
熊华
王卫红
周本春
XIONG Shao-feng;WEI Ming-ying;ZHAO Ming-yuan;XIONG Hua;WANG Wei-hong;ZHOU Ben-chun(Beijing Institute of Electronic System Engineering,Beijing 100854,China;China Aerospace Science and Industry Defense Technology Academy,Beijing 100854,China;School of Automation Science and Electrical Engineering,Beihang University,Beijing 100191,China)
出处
《宇航学报》
EI
CAS
CSCD
北大核心
2020年第1期80-90,共11页
Journal of Astronautics
基金
中国博士后科学基金(2017M620863).
关键词
最优控制
三维制导律
逆轨拦截
双曲正切函数
角度约束
导弹速度时变
Optimal control
Three dimensional guidance law
Head on interception
Hyperbolic tangent function
Impact angle constraint
Time-varying velocity of missile