基于三次B样条曲线拟合的列车定位方法研究  

A Study on the Train Positioning Method Based on Cubic B-spline Curve Fitting

作　　者：李卫东[1] 侯丽虹[1] 

机构地区：[1]大连交通大学电气信息学院,辽宁大连116028

出　　处：《控制工程》2017年第1期135-140,共6页Control Engineering of China

基　　金：国家自然科学基金(61471080)

摘　　要：高效率和高精度的列车定位方法是列车运行控制系统的核心。针对单一的地图匹配方法存在定位精度不高、可靠性差的问题,并提出了基于三次B样条曲线拟合的列车运行综合地图匹配方法。根据哈尔滨西至长春铁路线的实测数据,首先利用三次B样条曲线拟合的方法确定列车的行驶路线,其次利用变步长复化辛普森公式计算列车的运行位置,最后与最小二乘曲线拟合列车定位方法进行了对比。实验结果表明,三次B样条曲线拟合法的稳定性和精确性更高,可以满足时速200 km/h的高速列车定位系统的要求,并且残差控制在-4.262~5.911的范围内。High efficiency and high precision of train locating method is the core ot the tram operaUoncontrol system. For the accuracy of the single map matching method is not high and the reliability is poor,this paper proposes a comprehensive map matching method for train operation based on cubic B-spline curvefitting. According to the measured data from Harbin West railway station to Changchun railway station,firstly the cubic B-spline curve fitting method is used to determine the route of the train, secondly thevariable step size compound Simpson method is used to calculate the operation of the train position, lastly,the proposed train positioning method is compared with the least squares curve fitting method. The resultsshow that the cubic B- spline curve fitting method has higher stability and accuracy. It can meet requirementsof the train operation control system of 200 krn/h high-speed trains, and make the residual in the range of-4.262 -5.911.

关 键 词：北斗卫星导航系统 最小二乘曲线拟合 三次B样条曲线拟合 复化辛普森方法 地图匹配 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]