Mathematical Analysis of Vapor Diffusion Process for Impregnated Solvent on Sheet-Type Films : Diffusion Status Model for Designing a Control System Configuration

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In this paper, we design a control system configuration in a drying oven using the mathematical model of the status in the drying oven and describe it using a transfer function with a quadratic time delay. The transfer function is called a vapor pressure function and has main state variables in a drying oven. From a mathematical point of view, a one-dimensional advection diffusion equation (ODAE), for which the object model has a constant speed v in the direction, defines the drying oven status of the target system. The ODAE is given by applying the Lagrange differential operator. For example, it is possible to determine the optimal heat source position or the distribution function under ODAE. It is generally difficult to measure the real data in the state variables within the drying oven. However, it is possible to determine the real data using various estimation algorithms such as Kalman filter theory and also to determine the configuration of a control system.
新潟国際情報大学の論文