控制理论与应用2024,Vol.41Issue(3) :468-473.DOI:10.7641/CAT.2023.20863

透射光谱线性空间核学习建模求解多组分浓度

Kernel learning modeling for solving multi-component concentrations with linear space of transmission spectra

宋江婷 金福江 周丽春
控制理论与应用2024,Vol.41Issue(3) :468-473.DOI:10.7641/CAT.2023.20863

透射光谱线性空间核学习建模求解多组分浓度

Kernel learning modeling for solving multi-component concentrations with linear space of transmission spectra

宋江婷 1金福江 1周丽春1
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作者信息

  • 1. 华侨大学机电及自动化学院,福建厦门 361021
  • 折叠

摘要

本文对求解多组分体系浓度的分光光度计同时测定法提供了一种建模方法.通过对多组分体系的透射光谱建立光谱线性空间,证明了多组分体系的分子势函数矩阵VM可以转化为对角矩阵,对角矩阵的对角元是单组分势函数的块矩阵J.多组分体系透射光谱空间是单组分分子透射光谱函数为基函数、分子数量占比为坐标的线性组合.利用多核学习法确定各单组分体系透射波的占比权重系数,提出了用单组分浓度光量子隧穿软测量模型测定多组分浓度的测量方法.实例验证表明此方法稳定可靠,且能降低计算的复杂性.

Abstract

A modeling method is proposed in this paper for simultaneous spectrophotometric determination of multi-component system concentrations.A linear space of transmission spectra of the multi-component system was established,which proved that the potential function matrix VM of the multi-component system can be transformed into a diagonal matrix,in which the diagonal elements are blocked matrix Ji of the single-component potential functions.The multi-component system transmission spectral space is a linear combination of the transmission spectral functions of each single-component molecule as the basis function and the proportion of molecular numbers as the coordinate.The weight coeffi-cients of the transmission waves of each single-component system were determined using the multi-kernel learning method,and a measurement method for measuring multi-component concentration using a single-component concentration quan-tum tunneling soft measurement model was proposed.Example validation shows that this method is stable and reliable and can reduce computational complexity.

关键词

多组分/浓度/量子遂穿/线性系统

Key words

multi-component system/concentration/quantum Tunneling/linear systems

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基金项目

福建省科技计划(2021H6028)

流程工业综合自动化国家重点实验室联合开放基金(2022-KF-21-04)

出版年

2024
控制理论与应用
华南理工大学 中国科学院数学与系统科学研究院

控制理论与应用

CSTPCD北大核心
影响因子:1.076
ISSN:1000-8152
参考文献量22
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