基于空间笛卡尔坐标系转换的三轴一体光纤陀螺标定数学建模  

Calibration Mathematical Modeling for Three-cluster FOG onCartesian Coordinate System Conversion

作　　者：赵桂玲[1] 姜雨含[1] 李松[1] ZHAO Guiling;JIANG Yuhan;LI Song(School of Geomatics,Liaoning Technical University,Liaoning Fuxin 123000,China)

机构地区：[1]辽宁工程技术大学测绘与地理科学学院,辽宁阜新123000

出　　处：《弹箭与制导学报》2019年第6期124-129,共6页Journal of Projectiles,Rockets,Missiles and Guidance

基　　金：国家自然科学基金(41404035);辽宁省自然科学基金(201602364);国家大学生创新训练计划项目(201510147000046)资助。

摘　　要：针对光纤陀螺确定性误差特性和工程安装特点,以光纤陀螺安装误差角为切入点,基于空间笛卡尔坐标系之间的转换矩阵,建立3种三轴一体光纤陀螺标定线性模型,并设计六位置标定路径对光纤陀螺进行标定。仿真和导航实验结果表明:简化的三轴一体光纤陀螺标定数学模型引起捷联惯性导航系统的姿态误差、速度误差和随时间增长的位置误差;光纤陀螺标定模型中的安装误差角越少,引起的系统导航误差越大。Considering the certainty errors characteristics and engineering installation practice of fiber optic gyroscope(FOG),it deduced the Cartesian coordinate system transformation matrix based on the FOG mounting errors.According to the transformation matrix three linear mathematical models for three-cluster FOG calibration were derived.Simulations and experiments shown that simplified calibration mathematical model causes attitude error,velocity error,and accumulated position error over time.Also,The less the installation error angles,the larger the strap-down inertial navigation system navigation errors caused by the calibration model.

关 键 词：光纤陀螺 标定 数学建模 捷联惯性导航系统 

分 类 号：TN96[电子电信—信号与信息处理] U666.1[电子电信—信息与通信工程]