弹道导弹关机点状态估计的指数加权递归最小二乘方法

Ballistic missile burnout states estimation based on exponential weighted recursive least square method

在双星预警条件下,将指数加权递归最小二乘算法应用于目标关机点状态估计问题中。通过引入加权因子对目标助推段运动的局部拟线性特性进行描述,从而在一定程度上克服了一般的线性多项式模型难以准确刻画整个助推段运动的难题。通过对助推段目标动力学特性的分析,考察了目标在垂直射面方向上的运动特性。在此基础上,提出了一种更为准确的助推段运动模型。仿真算例表明,所提出的关机点状态估计方法相对于传统的方法具有一定的优越性。

Under the early warning of two passive satellite-borne sensors,the exponential weighted recursive least square method was applied to the burnout states estimation of ballistic targets. Due to the weighting factor can characterize the local quasi-linearity of the boost phase trajectory of the target,so to some extent the dilemma that generic polynomial cannot handle the whole boost phase of the target can be overcome. Through a dynamic analysis,the kinematic characteristics of boost phase target along the orientation of vertical surface were explored. On that basis,a novel boost phase motion model is proposed,which is more accurate than traditional planar motion model. Simulation results show that the proposed approach is superior to the traditional ones.