基于Legendre伪谱法的远程最优拦截初制导方法

摘要

考虑J2摄动,研究远程最优拦截初制导问题.针对远程拦截飞行时间长的特点,深入分析并改进一种固定时间拦截制导的摄动修正方法,提出J2摄动远程脉冲最优拦截策略.基于一种求解最优控制问题的新方法--Legendre伪谱法(Legendre pseudospectral method,LPM),研究有限推力远程最优拦截初制导问题,给出有限推力远程最优拦截初制导方法.以小倾角大椭圆轨道机动飞行器为对象,进行优化计算.仿真结果说明了本文的最优初制导方法的精度和计算效率.%Considering the earth's oblateness effect of J2 perturbation, the optimal initial guidance of long-range intercept problem is researched. With the characteristic of long flight time, a disturbed modifying method of fixed-time interception is analyzed and improved, and the impulsive strategy of optimal long-range interception is put forward. The initial guidance algorithm of finite-thrust optimal interception is also studied via an optimal control method-Legendre pseudospectral method ( LPM) The precision and efficiency of this initial guidance method are demonstrated by applying it to a high eccentric orbit (HEO)vehicle with small inclination.