摘要
轨道线形分段及线形参数优化是铁路轨道既有线复测工作的核心.基于惯导角度量测数据,提出了一种轨道平面线形分段及最佳线形参数估计算法.所提算法根据轨道线形变化规律,利用组合迭代的方法计算轨道的最佳线形参数.该算法将轨道平面线形确定建模成优化问题:首先根据定长曲率曲线最小二乘拟合斜率变化对轨道进行概略分段;然后基于量测数据拟合轨道线形;最后使用组合迭代算法进行精确分段并确定最佳线形参数.仿真算例结果表明,所提算法结果优于现有人工判定算法——基于两组不同分段点的线形参数拟合结果,与穷举法结果更为接近,所提算法均方根误差(RMSE)仅比穷举法高4.93%,但计算量仅为穷举法的0.02%.西安地铁三号线的实测结果也验证了所提算法的有效性.
The kernels of retest on existing railway are orbit line-shape segmentation and line-shape parameter optimization. Based on statistics of inertial angle measurement, an algorithm for line-shape segmentation of orbit plane and optimal line-shape parameter estimation was proposed. On the basis of change laws of orbit line-shape, the combined iterative method was utilized to calculate the optimal line-shape parameter of the orbit. The option of orbit plane line-shape was modeled as an optimization issue. Firstly, the orbit was roughly segmented by least square fitted slope change of fixed- curvature curves. Then, the orbit line-shape was fitted based on the measured data. Finally, the combined iterative method was applied to achieve precise segmentation and establish the optimal line-shape parameter. The simulation examples indicate that the proposed algorithm surpasses the existing artificial estimation algorithm which obtains the line-shape parameter fitting results based on two sets of different segmentation points, and has less differences from the results yielded by the exhaustion method. The Root Mean Square Error （RMSE） of the proposed algorithm is only higher than the exhaustion method by 4. 93%, while the computational complexity is just 0.02% of that of the exhaustion method. The actual measurements on Xi＇an metro line No. 3 also have convinced the availability of the proposed algorithm.
出处
《计算机应用》
CSCD
北大核心
2016年第12期3499-3504,共6页
journal of Computer Applications
基金
陕西省交通运输厅交通科研项目(15-49X)~~
关键词
线形参数
既有线
约束优化
组合迭代
最小二乘法
line-shape parameter
existing railway
constrained optimization
combined iteration
Least Square （LS）method
