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基于递推最小二乘法的外弹道仿真精度优化算法

Optimization Algorithm of External Ballistic Simulation Accuracy Based on Recursive Least Squares

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【作者】 徐玲; 王军; 郭治; 钱龙军; 谢杰涛; 赵志明;

【Author】 Xu Ling;Wang Jun;Guo Zhi;Qian Longjun;Xie Jietao;Zhao Zhiming;School of Automation,Nanjing University of Science and Technology;BaiCheng Ordnance Test Center of China;

【机构】 南京理工大学自动化学院; 中国白城兵器试验中心;

【摘要】 针对简单的N阶二元多项式拟合所有弹道轨迹无法同时满足精度指标与拟合阶数控制的要求,本文提出利用分段的N阶多项式拟合射表数据。该方法将射表数据按高低角分成若干个区间,并分别选取合适的拟合阶数,利用递推最小二乘法估计该区间内二元多项式方程的系数,继而解算出弹道轨迹。仿真结果表明,该方法能够有效减少拟合误差以及弹丸位置与实际命中点的距离偏差,达到更好的射击效果,同时能够缩短解算时间,更有利于实时火控系统的弹道解算。

【Abstract】 Since the simple N-order binary polynomial fitting all ballistic trajectories can not meet the requirements of precision index and fitting order at the same time,This paper proposes to use the piecewise N-order polynomial to fit the shot data.The method divides the table data into several intervals according to the high angles,and selects the appropriate fitting order and estimates the coefficients of the bivariate polynomial equations by the recursive least squares method,then the ballistic trajectory is solved.The simulation results show that the method can effectively reduce the fitting error and the distance deviation between the projectile position and the actual hit point,which can achieve better shooting effect.at the same time,the method can shorten the solving time,which is more conducive to the ballistic solution of the real-time fire control system.

  • 【会议录名称】 第二十届中国系统仿真技术及其应用学术年会论文集(20th CCSSTA 2019)
  • 【会议名称】第二十届中国系统仿真技术及其应用学术年会(20th CCSSTA 2019)
  • 【会议时间】2019-08-20
  • 【会议地点】中国新疆乌鲁木齐
  • 【分类号】TJ410;TP391.9
  • 【主办单位】中国自动化学会系统仿真专业委员会、中国仿真学会仿真技术应用专业委员会、中国科学技术大学
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