Trabalho apresentado na Disciplina: Modelagem de Modelos Matemáticos no CEFET-MG Unidade Timóteo/MG
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\begin{document}
\sloppy
\title{SCD - Sitemas de Controle Dinâmicos: Função de Transferência}
\author{Igor Otoni, Egmon Pereira}
\address{CEFET-MG Campus Timóteo}
\maketitle
\lstset{language=Matlab,%
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\section{Exercício 1}
\mbox{}
\subsection{Letra A}
\mbox{}
\begin{center}
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\subsection{Letra B}
\mbox{}
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\fbox{\includegraphics[width=0.8\textwidth]{letra_b_correlacao}}
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\subsection{Letra D}
\mbox{}
\begin{verbatim}
A(z) = 1 - 1.001 z^-1
A(z) = 1 - 1.81 z^-1 + 0.8105 z^-2
A(z) = 1 - 1.649 z^-1 + 0.4638 z^-2 + 0.1836 z^-3
A(z) = 1 - 1.694 z^-1 + 0.4485 z^-2 + 0.3619 z^-3 - 0.1169 z^-4
\end{verbatim}
\subsection{Letra F}
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\subsection{Letra G}
\mbox{}
O modelo 4º modelo foi o que obteve melhor representação do sistema.
\subsection{Letra I}
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\subsection{Letra J}
\mbox{}
O modelo 4º modelo foi o que obteve melhor predição do sistema, assim como a melhor respresentação. Esse modelo seria o escolhido entre todos os outros, pois oferece uma simulação mais confiável, logo têm mais utilidade que os outros.
\subsection{Letra J}
\mbox{}
\begin{verbatim}
rmse_1 = 1.2187
rmse_2 = 0.5466
rmse_3 = 0.3991
rmse_4 = 0.3881
mape_1 = 20.7965
mape_2 = 13.1152
mape_3 = 11.0820
mape_4 = 0
\end{verbatim}
Os erros comprovam a escolha pelo modelo 4, pois ele obteve o menor erro nos dois cálculos.
\section{Códigos}
\lstinputlisting[language=Octave]{Codigos/Sistema_01.m}
\end{document}