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测量和控制系统中的非线性特性常用最小二乘回归、几何逼近或一次近似方法作线性拟合，这种近似线性拟合方法将引起非线性误差，影响系统的精度和性能。本文提出非线性的反函数校正理论和构造反函数发生器的方法，从而使非线性系统改造成为与实际物理过程相一致的不失真线性化模型，并通过在电感测微仪和磁致伸缩微位移控制系统中进行应用实验对反函数校正理论的应用方法和应用效果作了进一步的说明和验证。
The non-linear characteristics of measurement and control systems are usually fitted by least square regression, geometric approximation or a linear approximation. This approximate linear fitting method will cause nonlinear errors and affect the accuracy and performance of the system. In this paper, we propose a nonlinear inverse function correction theory and a method of constructing an inverse function generator, so that the nonlinear system can be transformed into an undistorted linearized model that is consistent with the actual physical process. Displacement control system for the application of experiments on the application of inverse function theory and application of the effect of further explanation and verification.