基于零控脱靶量的剩余飞行时间改进估算方法  

A Modified Time-to-Go Estimation Algorithm Based on Zero Effort Miss

作　　者：谢道成 胡亚忠 张宏强 

机构地区：[1]第二炮兵驻8602厂军代室,武汉430040

出　　处：《电光与控制》2014年第10期70-74,共5页Electronics Optics & Control

基　　金：国家自然科学基金（51105287）

摘　　要：剩余飞行时间是飞行器制导环节的一个重要参数，决定着控制增益和能量代价。运用最优控制理论得到了最优加速度矢量作用下末端脱靶量的表达式，建立了末端脱靶量与零控脱靶量之间的关系。在最近接近点（PCA）的拦截场景下，在假定定常逃逸速度的前提下得到了新的剩余飞行时间的闭式解，提出考虑相对位置和相对速度间夹角信息剩余时间的估算方法。仿真表明：当夹角较大时，应用PCA方法的剩余飞行时间估计误差较传统的一阶近似方法小；PCA方法针对变速度目标情况同样适用。Time-to-go is an important parameter in guidance law design of air vehicles, and may determine the control gain and energy cost. This paper presents a new time-to-go estimation algorithm. Based on optimal control theory, the expression for terminal miss distance is obtained, and the correlation between terminal miss and zero-effort-miss is derived. To the intercept scene called Point of Closet Approach （PCA）, a new closed-form solution to time-to-go estimation is given supposing that the evasive velocity is constant. The new estimation algorithm makes use of the included angle between relative position and relative velocity vector. Simulation result shows that ： 1 ） When the included angle is big, the PCA based method has less estimation error than traditional first-order approximation; and 2 ） The PCA based algorithm can also be applicable when the evasive velocity is variable.

关 键 词：飞行器制导 剩余飞行时间 零控脱靶量 最优控制 最近接近点法 估算误差 

分 类 号：V271.4[航空宇航科学与技术—飞行器设计]