基于曲线拟合的通用仿真弹道设计方法研究
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摘要
针对传统的六自由度模型计算复杂且各型号间弹道无法通用,难以满足任务级作战仿真需求的现状,拓展了弹道分段形式,通过弹道特征点将弹道分段,利用少量初始数据确定缩放系数和曲线拟合系数,构建了分段三次曲线拟合方程,快速拟合出弹道曲线。仿真结果表明,本方法需要的初始数据较少,但该方法拟合精度在95%以上,能够快速高效生成通用弹道,满足任务级弹道仿真的需要。
The traditional six DOF model is computed complicatedly and the trajectories between models are not common,which is difficult to meet the task-level combat simulation requirements. Therefore,the trajectory is segmented by trajectory feature points. And the scaling coefficient and curve fitting coefficient are established by using a small amount of initial data. The sub-cubic curve fitting equation is established and the trajectory curve is fitted quickly. Simulation results show that the method has more than95% fitting accuracy with a small amount of initial data. It can quickly and efficiently generate a common trajectory and can be used for task-level trajectory simulation to meet the requirements of the task-level trajectory simulation.
The traditional six DOF model is computed complicatedly and the trajectories between models are not common,which is difficult to meet the task-level combat simulation requirements. Therefore,the trajectory is segmented by trajectory feature points. And the scaling coefficient and curve fitting coefficient are established by using a small amount of initial data. The sub-cubic curve fitting equation is established and the trajectory curve is fitted quickly. Simulation results show that the method has more than95% fitting accuracy with a small amount of initial data. It can quickly and efficiently generate a common trajectory and can be used for task-level trajectory simulation to meet the requirements of the task-level trajectory simulation.
引文
[1]黄柯棣,邱晓刚.建模与仿真技术[M].长沙:国防科技大学出版社,2010:10-17.
[2]潘越,周树德.弹道导弹弹道建模与仿真技术研究[J].计算机仿真,2014,31(9):71-74.
[3]曹洪武,王伟.任务级仿真弹道导弹通用模型参数体系研究[J].战术导弹技术,2014,(5):92-97.
[4]董雄风,刘新学.基于神经网络的弹道曲线快速拟合方法[J].弹箭与制导学报,2014,34(2):135-138.
[5]袁震宇,钟志通.导弹末端弹道拟合方法研究[J].舰船电子工程,2015,35(11):52-54.
[6]息木林,田康生.一种新的弹道导弹弹道仿真方法[J].空军雷达学院学报,2015,35(11):52-54.
[7]刘霞,王运峰.基于最小二乘法的自动分段多项式曲线拟合方法研究[J].科学技术与工程,2014,14(3):55-58.
[8]张毅,肖龙旭,王顺宏.弹道导弹弹道学[M].长沙:国防科技大学出版社,2005:171-172.
[9]方有培,陈利玲.印度“烈火”弹道导弹突防能力分析[J].航天电子对抗,2013,29(1):4-7.
[2]潘越,周树德.弹道导弹弹道建模与仿真技术研究[J].计算机仿真,2014,31(9):71-74.
[3]曹洪武,王伟.任务级仿真弹道导弹通用模型参数体系研究[J].战术导弹技术,2014,(5):92-97.
[4]董雄风,刘新学.基于神经网络的弹道曲线快速拟合方法[J].弹箭与制导学报,2014,34(2):135-138.
[5]袁震宇,钟志通.导弹末端弹道拟合方法研究[J].舰船电子工程,2015,35(11):52-54.
[6]息木林,田康生.一种新的弹道导弹弹道仿真方法[J].空军雷达学院学报,2015,35(11):52-54.
[7]刘霞,王运峰.基于最小二乘法的自动分段多项式曲线拟合方法研究[J].科学技术与工程,2014,14(3):55-58.
[8]张毅,肖龙旭,王顺宏.弹道导弹弹道学[M].长沙:国防科技大学出版社,2005:171-172.
[9]方有培,陈利玲.印度“烈火”弹道导弹突防能力分析[J].航天电子对抗,2013,29(1):4-7.