基于牛顿迭代法的无人机纯方位无源定位模型研究  

Bearing-only passive positioning model of UAV based on Newton iteration method

作　　者：陈耀 张帅 吕伟江 穆静静 CHEN Yao;ZHANG Shuai;LV Wei-jiang;MU Jing-jing(School of Mathematics&Physics,Henan University of Urban Construction,Pingdingshan 467036,China;School of Information&Electrical Engineering,Hunan University of Science&Technology,Xiangtan 411201,China)

机构地区：[1]河南城建学院数理学院,河南平顶山467036 [2]湖南科技大学信息与电气工程学院,湖南湘潭411201

出　　处：《河南城建学院学报》2024年第5期101-108,共8页Journal of Henan University of Urban Construction

基　　金：国家自然科学基金青年基金项目(12002120);河南省重点研发与推广(科技攻关)项目(212102310945)。

摘　　要：随着无人机功能提升和应用领域不断扩大,无人机无源定位的精度和速度已成为了研究热点。利用编队中无人机之间的夹角关系,以直角坐标系中的位置坐标为变量建立数学模型,将无人机纯方位无源定位问题转化为非线性方程组的求解问题,利用牛顿迭代法,以偏移无人机的理想位置为迭代初值,针对圆形编队和三角形编队两种情形,通过仿真模拟验证模型和算法的可行性。仿真结果表明:该算法具有定位时间短、误差可控的优点,适用于多种编队方案,为解决无人机编队飞行定位问题提供了一种新方法,具有一定的应用价值。As the functions and application areas of UAV continue to expand,the accuracy and speed of UAV passive positioning have also become a research hotspot.The angular relationship between the UAV in the formation is used to establish a mathematical model with the position coordinates in the rectangular coordinate system as variables.The pure bearing passive positioning problem of UAV is transformed into a problem of solving a set of nonlinear equations.The Newton iteration method is used to offset the ideal position of the UAV as the initial value of the iteration.For both circular and triangular formations,the feasibility of the model and algorithm is verified through simulation.The simulation results show that the algorithm has the characteristics of short positioning time and controllable error,and is suitable for a variety of formation schemes.It provides a new method for solving the problem of UAV formation flight positioning and has certain application value.

关 键 词：无人机 无源定位 牛顿迭代法 纯方位 

分 类 号：O242[理学—计算数学] V279.2[理学—数学]