工作空间测量定位系统最佳测量点的确定方法

Determination method of optimal measurement point of workspace measuring and positioning system

工作空间测量定位系统(workspace Measuring and Positioning System,w MPS)是一种基于旋转激光扫描平面交会的室内大尺寸定位系统。它可实现计量精度的三维坐标测量,主要应用于制造加工及装配领域的测量和检测任务。作为一种大尺寸的测量系统,与中小尺寸测量系统相比,它的测量空间与测量精度的矛盾更加突出。如何寻找此系统所覆盖测量空间内精度最高的一个点或者以此点为中心的一个区域是一个非常重要而且有意义的问题。从该测量系统的测量原理出发,与传统经纬仪相对比,给出一种利用解算方程系数矩阵的条件数作为评价空间交会优劣的评价模型,继而引入粒子群算法来求解测量空间内的最佳测量点,实验结果表明:评价模型和对应的求解方法是正确的,也是有效的,利用此方法得到的测量点为中心的区域坐标不确定度最小,而且此方法为今后的发射站布局问题的研究打下了有益的基础。

The workspace Measuring and Positioning System（w MPS） is an indoor large-scale positioning system based on the intersection of rotating laser planes. It can provide 3D coordinates with metrological accuracy, applicable in the measurement and test tasks of manufacturing and assembly. As a large-scale measurement system, the contradiction between its measurement range and measurement precision is more intense than the small-to-medium-scale measurement system. How to find the optimal measurement point or the optimal measurement area centered with this point is an important and significant problem.Moving away from the measurement principle of the measurement system, compared with the traditional theodolite, an evaluation model was presented, which used the condition number of the coefficient matrix of the measurement equation as the indicator of the quality of intersection, then the Particle Swarm Optimization algorithm was introduced to solve the optimal measurement point. The experimental results show that the proposed evaluation model and the problem-solving method are correct and effective; they produce the minimum uncertainty around the calculated optimal point, and lay the foundation for the future research on the transmitter-layout problem.