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Identification of Dynamic Systems with Interval Arithmetic

2017/08/08 by Márcia L. C. Peixoto, Marco T. R. Matos, Peixoto, Márcia L. C. +7
Computer Science · Engineering · #Control Systems and Identification #FOS: Electrical engineering #Neural Networks and Applications #Numerical Methods and Algorithms #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1708.03214

openalex publication_date 2017/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

This paper aims to identify three electrical systems: a series RLC circuit, a motor/generator coupled system, and the Duffing-Ueda oscillator. In order to obtain the system's models was used the error reduction ratio and the Akaike information criterion. Our approach to handle the numerical errors was the interval arithmetic by means of the resolution of the least squares estimation. The routines was implemented in Intlab, a Matlab toolbox devoted to arithmetic interval. Finally, the interval RMSE was calculated to verify the quality of the obtained models. The applied methodology was satisfactory, since the obtained intervals encompass the system's data and allow to demonstrate how the numerical errors affect the answers.

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