Study on Soft Sensing Model of Multi-Component System Concentration Based on Linear Superposition of Single Molecule System

Abstract

To address the issues of lengthy modeling time and substantial result error while determining the content of each component in a multi-component system simultaneously using spectrophotometry, a new determination method is provided. If we imagine the test light as a one-dimensional optical quantum and the multi-component system as a one-dimensional square potential barrier, then the process of simultaneously determining the content of each component by spectrophotometer is the process of photon tunneling through the potential barrier of multi-component system; the potential energy matrix of the multi-component system is established and transformed into a Jordan matrix analogous to it. Light quantum tunneling across a barrier in a system with several components is the superposition of light quantum tunneling through each individual component systems, with each component system serving as the “diagonal” in a Jordan block. For a multi-component system, the concentration ratio of each component can be calculated by determining the weight coefficient of the transmission wave of each single molecule system inside the total transmission wave using the multi-core learning (MKL) approach. Linear superposition of photon-tunneling single-molecule models is used to create a multi-component spectral soft sensing model. Results show that this technique offers a new theoretical foundation for spectrophotometers to use in measuring multi-component solution concentrations, and that it solves the production problem of infinite formulas; simultaneously, it is discovered that the simultaneous determination technique for spectrophotometers based on the Lambert–Beer law is a special case of this technique.