Identification of Dynamic Systems with Interval Arithmetic
نویسندگان
چکیده
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. Keywords— Systems Identification, Interval Arithmetic, Errors Propagation, Intlab toolbox. Resumo— Neste trabalho é feita a identificação de três sistemas: um circuito RLC série, um sistema composto por um motor e gerador acoplados e o oscilador Duffing-Ueda. Foram utilizados a taxa de redução de erro e o critério de Akaike para a obtenção dos modelos dos sistemas. Com o intuito de manusear os erros numéricos aplicou-se a aritmética intervalar na resolução dos mı́nimos quadrados, por meio do toolbox Intlab. Por fim, foi calculado o ı́ndice RMSE intervalar com o intuito de verificar a qualidade dos modelos obtidos. A metodologia aplicada foi satisfatória visto que, os intervalos obtidos englobam os dados do sistemas e ainda sendo posśıvel observar como os erros numéricos afetam as respostas. Palavras-chave— Identificação de Sistemas, Aritmética Intervalar, Propagação de erros, toolbox Intlab.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1708.03214 شماره
صفحات -
تاریخ انتشار 2017