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在化工研究中,经常需要将实验数据拟合为数学模型,以定量描述过程或现象自变量与因变量之间的关系,模型参数的求取,一般采用最小二乘法。本文介绍了Matlab语言中利用最小二乘法以求取模型参数的几种功能函数及使用方法,通过举例对单变量曲线拟合、多变量曲线拟合及微分形式拟合进行了介绍,说明Matlab语言可拟合大部分实验数据,达到节约数据处理的时间,提高模型参数精度的目的。
In chemical research, it is often necessary to fit the experimental data into a mathematical model to quantitatively describe the relationship between process or phenomenological variables and dependent variables, and to obtain model parameters. Generally, the least square method is used. In this paper, we introduced several functional functions and methods of using least square method to get model parameters in Matlab language, and introduced single-variable curve fitting, multivariate curve fitting and differential formal fitting by means of examples to illustrate Matlab language Most experimental data can be fit to achieve the purpose of saving data processing time and improving the accuracy of model parameters.