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基于Gauss-Hermite求积分卡尔曼滤波的SINS非线性初始对准方法

冉昌艳 程向红 王海鹏

东南大学学报(自然科学版)Issue(2):266-271,6.
东南大学学报(自然科学版)Issue(2):266-271,6.DOI:10.3969/j.issn.1001-0505.2014.02.008

基于Gauss-Hermite求积分卡尔曼滤波的SINS非线性初始对准方法

SINS nonlinear initial alignment using Gauss-Hermite quadrature Kalman filter

冉昌艳 1程向红 2王海鹏1

作者信息

  • 1. 东南大学仪器科学与工程学院,南京210096
  • 2. 三峡大学计算机与信息学院,宜昌443002
  • 折叠

摘要

Abstract

In order to improve the precision and shorten the convergence time of SINS(strapdown in-ertial navigation system)initial alignment with a large azimuth misalignment angle,a simplified Gauss-Hermite quadrature Kalman filter (QKF)is introduced into the SINS initial alignment on a moving base.First,the configuration method for one-dimensional Gauss points and their correspond-ing coefficients in Gauss-Hermite quadrature is derived,which is then extended to form the multidi-mensional Gauss points and their coefficients using the direct tensor method.A simplified QKF is presented.Finally,by means of mathematical simulation,the filter performance of UKF(unscented Kalman filter)based on scaled symmetric sampling and QKF using 3 points in one dimension in SINS initial alignment with a large azimuth misalignment angle is compared,and the influence of different point numbers(3 ,5 and 7 )of one dimension on the QKF filter performance is also ana-lyzed.The simulation results show that under the condition of a large azimuth misalignment angle on a moving base,the alignment accuracy of a 3-point QKF is much higher than that of the UKF,and the azimuth angle estimation error convergence rate of the three-point QKF is also much faster than that of the UKF.With the increase in the number of one-dimensional Gauss-Hermite quadrature points,the alignment accuracy of the QKF can be further improved.

关键词

求积分卡尔曼滤波/捷联惯导系统/初始对准/大方位失准角

Key words

quadrature Kalman filter/SINS (strapdown inertial navingation system)/initial align-ment/large azimuth misalignment angle

分类

交通工程

引用本文复制引用

冉昌艳,程向红,王海鹏..基于Gauss-Hermite求积分卡尔曼滤波的SINS非线性初始对准方法[J].东南大学学报(自然科学版),2014,(2):266-271,6.

基金项目

国家自然科学基金资助项目(61374215). ()

东南大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-0505

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