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兵工学报 ›› 2013, Vol. 34 ›› Issue (10): 1279-1285.doi: 10.3969/j.issn.1000-1093.2013.10.013

• 论文 • 上一篇    下一篇

基于分离积分的捷联惯导系统改进算法

林玉荣, 沈毅   

  1. 哈尔滨工业大学航天学院, 黑龙江哈尔滨150001
  • 收稿日期:2013-01-07 修回日期:2013-01-07 上线日期:2013-12-16
  • 作者简介:林玉荣(1972—),女,副教授。
  • 基金资助:
    航天支撑技术基金项目(2009-HT-HGD-09)

Improved Navigation Algorithms Based on Split Integration for Strapdown Inertial Navigation System

LIN Yu-rong, SHEN Yi   

  1. School of Astronautics,Harbin Institute of Technology,Harbin 150001,Heilongjiang, China
  • Received:2013-01-07 Revised:2013-01-07 Online:2013-12-16

摘要: 传统捷联惯性导航算法基于比力积分变换求解地速时,采用一阶近似与二阶截断带来 的误差对于高精度导航应用造成的影响不可忽略。为消除这种影响,在惯性参考坐标下,采用分离 积分的思想,提出了一种改进的高精度捷联惯导算法。针对惯性系下由比力积分定义的推力速度, 在获得比力积分变换增量解析解的基础上,通过分析划船误差产生的原因,确定基于修正速度增量 的补偿方案,得到了能够完全补偿动态误差(包括圆锥误差、旋转误差、划船误差) 的推力速度确切 解,圆锥误差与划船误差的计算可直接采用传统优化算法。将推力速度更新思想扩展应用于引力 加速度的积分与位置更新,获得了完整的高精度捷联惯性导航算法,通过复杂动态环境下的仿真测 试比较结果验证了该算法在整体性能上的显著优势。

关键词: 飞行器控制、导航技术, 绝对速度, 推力速度, 修正速度增量, 比力积分变换增量, 引力速度

Abstract: The traditional strapdown inertial navigation algorithm is to calculate the ground velocity based on integral of specific force transformation, which is solved using first-order approximation and second-order truncation. The influence of approximate integration errors on navigation precision cannot be ignored. In order to eliminate this influence, an improved strapdown inertial navigation algorithm with high precision is presented by using split integration scheme in the inertial reference frame. An analytical solution of the integrated transformed specific force increment is obtained for the thrust velocity defined by integral of specific force in the inertial frame, and a compensation scheme based on modified velocity increment is proposed for sculling error by analyzing its cause, an exact solution of the thrust velocity which can completely offset the dynamic errors, including coning error, rotation error and sculling error, is obtained. Both coning and sculling errors may be computed directly using the traditional optimization algorithms. A complete strapdown inertial navigation algorithm with high precision is developed by extending the thrust velocity update ideas into integration of the gravitational acceleration and position update. The significant advantages of the algorithm in the overall performance are demonstrated by the simulation test results under complex dynamic environment.

Key words: control and navigation technology of aerocraft, absolute velocity, thrust velocity, modified velocity increment, integrated transformed specific force increment, gravitational velocity

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