基于几何建模与仿真模拟的无人机无源定位模型  

UAV Passive Positioning Model Based on Geometric Modeling and Simulation

作　　者：薛振森 郑柏慧 陈礼根 蔡军伟[1] XUE Zhensen;ZHENG Baihui;CHEN Ligen;CAI Junwei(College of Science,Ningbo University of Technology,Ningbo,Zhejiang 315211,China)

机构地区：[1]宁波工程学院理学院,浙江宁波315211

出　　处：《数学建模及其应用》2023年第1期79-87,共9页Mathematical Modeling and Its Applications

摘　　要：主要研究无人机纯方位无源定位,建立定位模型和调整方案模型,完成有效定位被动接收信号无人机以及进行纯方位无源定位调整工作.根据建模赛题给出的案例,本文首先采用正弦定理推导出具体定位方案,再采用分步调整法制定无人机编队调整方案,最后为锥形编队制定同心圆结构,并沿用定位、调整方案建立锥形编队的定位模型.利用网格搜索、迭代、仿真模拟等算法求解得到结果,然后结合实际给出结果的合理性、适用性检验说明,最后对小组研究模型进行总结.This paper focuses on the pure azimuth passive positioning of UAVs.A positioning model and an adjustment scheme model are developed to effectively locate the UAV with passive reception signals and to perform pure orientation passive positioning adjustment.According to the case given in the modelling competition,this paper first uses the law of sines to derive a specific positioning scheme.Then the step-by-step adjustment method is used to develop an adjustment scheme for the UAV formation.Finally,the concentric circle structure is established for the conical formation,and the positioning model of the conical formation is built by using the positioning and adjusting scheme.The results are solved using algorithms such as grid search,iteration and simulation and then the reasonableness and applicability of the results are given with the actual test description.Finally,a summary of the group research model will be given.

关 键 词：网格搜索算法 定位模型 调整方案模型 迭代算法 仿真模拟 

分 类 号：O232[理学—运筹学与控制论]