控制理论与应用2018，Vol.35Issue(2)：248-257,10.DOI:10.7641/CTA.2017.70374
考虑导弹速度时变的角度约束最优中制导律
Impact angle constrained optimal midcourse guidance law for missiles of time-varying speed
摘要
Abstract
In the background of counter parallel intercepting high-speed moving target,the indirect Gauss pseudospec-tral method is employed to design an impact angle constrained optimal midcourse guidance law in this paper. Through vanishing the relative normal velocity between missile and target,the impact angle constraint is converted into the line of sight angle constraint.Considering the time-varying velocity of missile,the guidance equation with impact angle constraint is established. An analytical expression of optimal midcourse guidance law is derived based on the Minimum Principle. The Gauss pseudospectral method is used to discretize the optimal midcourse guidance law,then differential equations are turned into algebraic equations,and solving the Riccati equations is avoided.It does not need to know in advance the future velocity information of missiles and the computation load is small,which in-dicates that the proposed method has good real time property. The simulation results show that the proposed mid-course guidance law can satisfy the intersection angle constraint of counter parallel intercepting,and the acceleration command at the end of the midcourse guidance is small.关键词
中制导律/最优控制/逆轨拦截/角度约束/高斯伪谱法/导弹速度时变Key words
midcourse guidance law/optimal control/head on interception/impact angle constraint/Gauss pseudospec-tral method/time-varying velocity of missile分类
军事科技引用本文复制引用
熊少锋,魏明英,赵明元,熊华..考虑导弹速度时变的角度约束最优中制导律[J].控制理论与应用,2018,35(2):248-257,10.基金项目
中国博士后科学基金第62批面上项目(2017M620863)资助.Supported by the China Postdoctoral Science Foundation(2017M620863). （2017M620863）
