基于Laguerre多项式的LVDT位移传感器非线性校正

Nonlinear correction of LVDT displacement sensor based on Laguerre polynomials

针对线性可变差动变压器(LVDT)位移传感器输出电压值与位移量之间存在非线性的问题,建立了基于Laguerre多项式的位移特性曲线模型。采用递推最小二乘法对标定样本数据进行拟合,以确定位移特性曲线的模型参数。该方法根据LVDT位移传感器输出电压的测量值即可高精度计算出相应的位移量。仿真结果表明:绝对测量误差不超过0.1 mm,具有明显的非线性校正效果,在位移检测领域具有重要的理论和应用价值。

Aiming at nonlinear problem between output voltage and displacement of linear variable differential transformer（LVDT） displacement sensor,displacement characteristics curve model based on Laguerre polynomials is established The parameters of characteristic curve model are determined by fitting calibration sample data and using recursive least square （ RLS ） algorithm. The corresponding displacement can be calculated with high precision according to measured value of output voltage of the LVDT displacement sensor. Simulation results show that absolute measurement error is less than 0.1 mm, and has obvious nonlinear correction effect, and the method has important theoretical and application value in the field of displacement detection.