纯方位系统TMA非线性最小二乘法——理论数学模型与常规算法

对非线性最小二乘法应用于纯方位系统目标运动分析进行了综合评述,介绍了经典的非线性最小二乘法及几种常规算法:高斯—牛顿迭代法,麦夸脱迭代法,自适应非线性最小二乘法,给出了非线性最小二乘法对纯方位目标运动分析的四个数学模型:高度非线性模型,减弱非线性模型,再减弱非线性模型,再进一步减弱非线性模型。

Nonlinear Least-Squares Algorithms Used for TMA in Bearings-only System-The Theoretical Mathematic Model and Conventional Algorithms

Firstly, the comprehensive comment of nonlinear least-squares algorithms used for TMA in bearings-only system is given. The classical nonlinear least-squares algorithms and several conventional algorithms such as Newton-Gauss iteration, Marquardt iteration and self-adaptive nonlinear least-square are presented. Then, four mathematic models of nonlinear least-squares algorithms used for TMA in bearings-only system are established as follows, high nonlinear model, weakened nonlinear model, weakened again nonlinear model and weakened further nonlinear model.