基于蒙特卡洛法的武器系统标定误差分析
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摘要
提出了一种基于蒙特卡洛法的武器系统标定误差建模与分析方法。建立了坐标转换公式,根据经纬度高程、接收机安装位置、寻北仪寻北造成的多个误差,推导了标定相对距离、相对方位角和高度差的计算模型和误差模型。通过仿真计算分析,得到了用蒙特卡洛法模拟1 000次测量的标定结果,给出了各部分误差单独对标定的影响及其作用大小,同时指出在整体极限误差作用下,该标定方法能够满足性能指标的要求。
Monte Carlo method for modeling and analyzing the calibration error of weapon system was proposed. The coordinate transformation formula was established. According to the latitude and longitude elevation,the installation position of the receiver,and the multiple errors caused by the North Finder,the calculation model and error model of the calibration relative distance, relative azimuth and height difference were derived. Through the simulation calculation and analysis,the calibration results of 1000 measurements using Monte Carlo method were obtained. The influence of each part error on calibration and its effect were given.
Monte Carlo method for modeling and analyzing the calibration error of weapon system was proposed. The coordinate transformation formula was established. According to the latitude and longitude elevation,the installation position of the receiver,and the multiple errors caused by the North Finder,the calculation model and error model of the calibration relative distance, relative azimuth and height difference were derived. Through the simulation calculation and analysis,the calibration results of 1000 measurements using Monte Carlo method were obtained. The influence of each part error on calibration and its effect were given.
引文
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[2]蔡迎波,乔永严.单轴光纤陀螺寻北仪四位置寻北误差分析[J].光学与光电技术,2017,15(6):84-88.
[3]夏林元,鲍志雄,李成钢,等.北斗在高精度定位领域中的应用[M].北京:电子工业出版社,2016.
[4]王郁茗,邵利民.北斗三代卫星导航系统服务性能仿真评估[J].兵工自动化,2018(5):12-15.
[5]孙国强,田芳宁.高机动雷达方位标定方法[J].四川兵工学报,2014,35(9):14-16,24.
[6]马林,昝兴海,张琦.考虑随机误差传递的高空风计算方法[J].兵器装备工程学报,2016,37(8):173-176.
[7]蒋平,赵建玉,魏军.误差理论与数据处理[M].北京:国防工业出版社,2014:79-101.
[8]徐诚,黄大庆.无人机光电侦测平台目标定位误差分析[J].仪器仪表学报,2013,34(10):2265-2270.
[9]张红良,武元新,查亚兵,等.高精度惯测组合标定误差分析[J].国防科技大学学报,2010,32(1):142-146.
[10]宋丹,刘金国,吴国栋.基于蒙特卡罗法的测绘相机标定误差分析[J].光电子技术,2008(3):177-179,183.
[11]尚磊云,唐硕.基于方差分析的Monte-Carlo制导精度分配方法研究[J].飞行力学,2009,27(3):93-96.