摘要
针对卫星制导二维弹道修正弹的命中精度差,提出一种将拓展卡尔曼滤波(EKF)与敏感矩阵结合的落点预测(IPP)制导方法。建立了二维弹道修正弹的质心运动方程组,推导出离散化卡尔曼滤波状态方程和卫星量测方程;利用拓展卡尔曼滤波器对一段扰动弹道进行预测并得到预测落点坐标,设计一种基于敏感矩阵的导引律,给出了敏感矩阵的近似求解方法;对某二维弹道修正弹进行数值仿真验证。结果表明:采用拓展卡尔曼滤波估计弹道参数的算法精度高、收敛速度快;敏感矩阵导引法有效减小了圆概率偏差(CEP),能够满足二维弹道修正弹的命中精度要求。
This paper presents a method of Impact Point Prediction（ IPP） which combines the Extended Kalman Filtering（ EKF） and the sensitivity Matrix to increase the guidance precision of two dimensional trajectory correction projectile with satellite measurement. Firstly,the three-degree-of-freedom mass point projectile model is employed and the discrete state equation of Kalman filtering is deduced to predict the flight parameters. Secondly,a perturbation ballistic trajectory is predicted with extended Kalman filtering to obtain the impact point; a sensitivity matrix guidance law is proposed and the approximate matrix solution method is given. Finally,numerical simulation verification results on two dimensional trajectory correction projectile are shown. The verified results shows that EKF is not only high precision but alsoconverged quickly for estimating the ballistic parameters,and the sensitivity matrix guidance law decreases the circular error probable（ CEP） effectively,which can meet the precision requirement of the two dimensional trajectory correction projectile.
作者
普承恩
王良明
傅健
PU Chengen;WANG Liangming;FU Jian(School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China)
出处
《兵器装备工程学报》
CAS
北大核心
2018年第6期52-57,共6页
Journal of Ordnance Equipment Engineering
基金
国家自然科学基金项目(61603191)
关键词
拓展卡尔曼滤波
落点预测
弹道修正
敏感矩阵
extended Kalman filtering
Impact Point Prediction （ IPP ）
trajectory correction
sensitivity matrix
