重庆大学学报2025，Vol.48Issue(2)：1-9,9.DOI:10.11835/j.issn.1000-582X.2025.01.001
数值微分在设备组合弹道精度评估中的应用
Numerical differentiation for evaluating theoretical accuracy of device combination trajectory
摘要
Abstract
The theoretical accuracy evaluation of device combination trajectories is a critical foundation for device allocation design and trajectory selection.Existing models for accuracy evaluation are based on the error propagation principle,using the Jacobian matrix of the trajectory with respect to measurement elements as their core.However,obtaining the analytic expressions for the Jacobian matrix elements in complex trajectory equations is challenging.This paper proposes and designs a theoretical accuracy evaluation algorithm for device combination trajectories based on numerical differentiation.By constructing numerical sequences and calculating the Jacobian matrix using numerical differentiation with spline interpolation,the theoretical accuracy of the device combination trajectory is determined.The algorithm's effectiveness and practicality are validated by comparing the Jacobian matrix and accuracy values of the proposed method with those derived from a single device position equation.关键词
弹道精度评估模型/雅克比矩阵/样条插值/数值微分Key words
accuracy evaluation model of trajectory/Jacobian matrix/spline interpolation/numerical differentiation分类
动力与电气工程引用本文复制引用
何京江,杨涵,郭茂耘,柴毅..数值微分在设备组合弹道精度评估中的应用[J].重庆大学学报,2025,48(2):1-9,9.基金项目
国家自然科学基金重点项目(61633005).Supperted by National Natural Science Foundation of China(61633005). （61633005）
