基于预测理论的光栅信号精密细分方法研究
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摘要
针对光栅传感器在高档数控机床及精密加工领域应用中的高精度细分和快速跟踪的问题,提出一种基于预测理论的光栅位移信号精密细分的新方法。运用时间信息分析和预测空间位置的时空转换思想,根据光栅刻线在空间的均匀性与时间序列的对应关系构建预测细分模型,完成了光栅信号在时间和空间上的预测细分。动态实验表明,采用该模型进行预测细分,最大细分倍数为400倍,预测误差为±3.5″,实现了对光栅信号的高精度细分。
In order to improve the situation of high precision subdivision and displacement tracking speed of the grating sensor existing in applications of high-end CNC machine tools and precision machining,a new method of precision subdivision of grating displacement signal based on forecast theory is proposed. According to the correspondence between the uniformity of grating lines in space and time sequences,use the thinking of time-space transformation,which includes analysis of time information and prediction of the spatiallocation,to build models of predictive subdivision.The dynamic experiments prove that maximum subdivision number can achieve 400 and the prediction error is ±3.5″when the model is used to predict subdivision in circular grating,and the high precision subdivision of the grating signal is achieved.
In order to improve the situation of high precision subdivision and displacement tracking speed of the grating sensor existing in applications of high-end CNC machine tools and precision machining,a new method of precision subdivision of grating displacement signal based on forecast theory is proposed. According to the correspondence between the uniformity of grating lines in space and time sequences,use the thinking of time-space transformation,which includes analysis of time information and prediction of the spatiallocation,to build models of predictive subdivision.The dynamic experiments prove that maximum subdivision number can achieve 400 and the prediction error is ±3.5″when the model is used to predict subdivision in circular grating,and the high precision subdivision of the grating signal is achieved.
引文
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[12]刘小康,郑方燕,王先全,等.时栅数控转台空间回转位置预测方法研究[J].仪器仪表学报,2011,32(10):2303-2308.
[13]蒋庆仙,王成宾,马小辉,等.利用AR模型进行动态寻北中有色噪声的控制[J].传感技术学报,2014,27(3):347-350.
[2]Emura T,Wang L.A High-Resolution Interpolator for Incremental Encoders Based on the Quadrature PLL Method[J].Industrial Electronics,IEEE Transactions on,2000,47(1):84-90.
[3]楚兴春,吕海宝,赵尚弘.大量程纳米级光栅干涉位移测量[J].光电工程,2008(1):55-59.
[4]罗华,高山,李翔龙.粗光栅信号全数字化处理法实现高倍数细分[J].光学精密工程,2007,15(2):283.
[5]王显军.光电轴角编码器细分信号误差及精度分析[J].光学精密工程,2012,20(2):379-386.
[6]高旭,万秋华,赵长海,等.莫尔条纹光电信号正交性偏差的实时补偿[J].光学精密工程,2014,22(1):213-219.
[7]吕孟军,郭琪,吕印晓.莫尔条纹信号相位误差补偿[J].光学精密工程,2009,17(7):1694-1700.
[8]朴伟英,袁怡宝.叠栅条纹信号细分误差的一种动态补偿方法[J].光学学报,2008,28(7):1301-1306.
[9]高旭,万秋华,杨守旺,等.提高光电轴角编码器细分精度的改进粒子群算法[J].红外与激光工程,2013,42(6):1508-1513.
[10]彭东林,张兴红,刘小康,等.基于时空转换的精密位移测量新方法与传统方法的比较[J].仪器仪表学报,2006,27(4):423-426.
[11](美)格雷特,李洪成.时间序列预测实践教程[M].北京:清华大学出版社,2012:43-67.
[12]刘小康,郑方燕,王先全,等.时栅数控转台空间回转位置预测方法研究[J].仪器仪表学报,2011,32(10):2303-2308.
[13]蒋庆仙,王成宾,马小辉,等.利用AR模型进行动态寻北中有色噪声的控制[J].传感技术学报,2014,27(3):347-350.