室内空间测量定位系统网络布局优化

摘要

The workspace Measuring and Positioning System (wMPS) is an indoor large-scale positioning system based on the intersection of laser planes. Station network layout is a system of structural factors that directly affects the system measuring accuracy. To get a better layout, we analyzed the measuring equation of the system and pointed out that the condition number of measurement matrix can be a quantitative indicator to planes intersection and gave the mathematical model. The optimum network layout was achieved with the Genetic algorithm which was designed based on the quantitative indicator. The experimental results show that this method can effectively improve the measurement precision.%室内空间测量定位系统(wMPS)是一种采用光平面交会的分布式大尺寸室内空间坐标测量系统，在众多影响其测量定位精度的因素中，发射站的网络布局直接影响着系统测量精度和使用效能。为优化系统的网络布局，本文从该系统的测量方程入手，提出了测量矩阵的条件数是衡量多平面交会优劣的量化指标，并建立数学模型，以此为优化目标，采用遗传算法作为优化工具，实现了指定测量空间下最优网络布局。最后设计了实验进行验证，实验结果表明该方法能有效提高测量精度。