Identification of Dynamic Systems with Interval Arithmetic

The code files used to get the results published in the paper "Identification of Dynamic Systems with Interval Arithmetic".

Download the manuscript here.

Info: perform the identification of three case studies (Duffing system, rlc circuit and electromechanic system) using interval arithmetic.

See also:

1. More in depth studies can be found in Marcia Peixoto's thesis (access here)

2. Download all of the routines of the above thesis here

Requirements: intlab toolbox

Authors: Márcia Lucian da Costa Peixoto, Marco Túlio R. Matos, Wilson Rocha Lacerda Junior, Samir Angelo Milani Martins and Erivelton Geraldo Nepomuceno

Website: http://www.ufsj.edu.br/gcom

Please send suggestions for improvement of the code to Wilson Rocha at this email address: wilsonrljr@outlook.com

References:

@InProceedings{PMJ+2017,
author  = {Peixoto, M{\'{a}}rcia L. C. and Matos, Marco T. R. and J{\'{u}}nior, Wilson R. Lacerda and Martins, Samir A. M. and Nepomuceno, Erivelton G.},
title  = {{Identification of Dynamic Systems with Interval Arithmetic}},
booktitle = {XIII Simp{\'{o}}sio Brasileiro de Automa{\c{c}}{\~{a}}o Inteligente},
year  = {2017},
pages = {1--6},
address = {Porto Alegre},
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.},
archiveprefix = {arXiv},
 arxivid = {1708.03214},
eprint = {1708.03214},
file = {:D$backslash$:/User/Google Drive/mendeley/pdfs/Peixoto et al. - 2017 - Identification of Dynamic Systems with Interval Arithmetic.pdf},
}