A New Approach for Modeling the Dynamics of Output Variables of a Spatially Distributed System

Abstract

This paper addresses the development of an average-value based model for the processing system having some peculiar physical constraints which prevent their process variables to have a steady and stable value. As a result, the maintenance of steady balance of the system will become tedious. The continuous observation of that process variable, fixation of its average value on real-time basis, and mathematical model development of above-average value as base factor are the basic steps of this method which subsequently lead to time-based dynamics. The validation of the method so developed is possible to achieve through experiments in appropriate processing systems.

Keywords: Average-value based model, base average value, variational part in base average value