Moving pattern-based modeling using a new type of interval ARX model

TL;DR

This paper introduces a novel interval ARX model with a new operator to handle interval data, applied to moving pattern-based modeling, demonstrating improved robustness and performance in a sintering process case study.

Contribution

A new type of interval ARX model with an innovative operator is proposed, enhancing modeling robustness for interval data in moving pattern-based applications.

Findings

Model is robust to parameter variations

Outperforms previous models in accuracy

Effective in sintering process simulation

Abstract

In this paper,firstly,to overcome the shortcoming of traditional ARX model, a new operator between an interval number and a real matrix is defined, and then it is applied to the traditional ARX model to get a new type of structure interval ARX model that can deal with interval data, which is defined as interval ARX model (IARX). Secondly,the IARX model is applied to moving pattern-based modeling. Finally,to verify the validity of the proposed modeling method,it is applied to a sintering process. The simulation results show the moving pattern-based modeling using the new type of interval ARX model is robust to variation in parameters of the model, and the performance of the modeling using the proposed IARX is superior to that of the previous work.