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作 者:王彦琳 程志君 王子辰 钟健 Wang Yanlin;Cheng Zhijun;Wang Zichen;Zhong Jian(College of Systems Engineering,National University of Defense Technology,Changsha 410073,China)
机构地区:[1]国防科技大学系统工程学院,湖南长沙410073
出 处:《系统仿真学报》2024年第10期2257-2264,共8页Journal of System Simulation
基 金:国家自然科学基金(72171231)。
摘 要:针对卫星监测任务仿真试验在复杂试验空间中无法兼顾样本点数量和模型精度的问题,提出一种基于点密度和局部非线性度的卫星仿真试验混合序贯试验设计方法。使用Voronoi划分描述离散点分布密度,借助泰勒展开式及样本点邻域梯度信息衡量非线性度,将两者组合计算综合指标,对样本点进行排序,进而添加新的样本点,直到满足停止准则。仿真结果表明:相比均匀设计和拉丁超立方设计,序贯试验设计方法在函数算例上可以在较少样本点的情况下达到停止准则。在仿真系统数据上,误差指标RMSE分别提高44.88%和38.77%,MAPE分别提高47.07%和37.4%。序贯试验设计方法相较于传统试验设计在样本点采集上可以有效降低采样数量,提升模型精度。Aiming at the problem that satellite monitoring mission simulation tests cannot take into account the number of sample points and model accuracy in the complex test space,a hybrid sequential test design method for satellite simulation tests based on sample density and local nonlinearity is proposed.Voronoi division is used to describe the density of discrete point distribution,and the nonlinearity is measured with the help of Taylor expansion and sample point neighborhood gradient information.The two are combined to calculate the hybrid metrics,and the sample points are ranked and new ones are added until the stopping criterion is satisfied.The simulation results show that the sequential experimental design method can meet the stopping criterion with fewer sample points on the function examples compared to the uniform and Latin hypercube designs.Using the simulated system data,the error metric RMSE results improved by 44.88%and 38.77%,the error metric MAPE results improved by 47.07%and 37.4%,respectively.Compared with the traditional experimental design,the sequential experimental design method can effectively reduce the number of sample points and improve the model accuracy.
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