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a/presentation/main.tex b/presentation/main.tex index d936647..feb6875 100644 --- a/presentation/main.tex +++ b/presentation/main.tex @@ -58,7 +58,7 @@ minimum height=3em, minimum width=6em] \end{frame} -\begin{frame}{Outline} +\begin{frame}{Sommaire} \tableofcontents \end{frame} @@ -127,7 +127,7 @@ minimum height=3em, minimum width=6em] \begin{figure}[H] \centering - \includegraphics[scale=0.45]{./Illustrations/multisine1.pdf} + \includegraphics[scale=0.2]{./Illustrations/multisine1.png} \caption{Le signal d'entrée, de type "multisine" entre 0.1Hz et 4Hz} \label{fig:multisine} \end{figure} @@ -139,11 +139,12 @@ minimum height=3em, minimum width=6em] \frametitle{Test du modèle obtenu avec N4SID} \begin{figure}[H] \centering - \includegraphics[scale=0.4]{./Illustrations/fig2.png} + \includegraphics[scale=0.45]{./Illustrations/fig2.png} \caption{Comportement des differents modèles obtenus} \label{fig:modeles} \end{figure} + \vspace{-1em} Après avoir comparé les modèles avec le vrai système, nous avons choisi le modèle n4sid() temporel d'ordre 2. \end{frame} @@ -153,15 +154,17 @@ minimum height=3em, minimum width=6em] \begin{frame} \frametitle{Fonction transfert du système: Rail} Cela nous avait mené à résumer le systeme du rail à la fonction de transfert suivante : - $$G(z) = \frac{0,2977 z^{-1} - 0,2962 z^{-2}}{1 - 1,825 z^{-1} + 0,8496 z^{-2}}$$ + + \begin{equation*} + G(z) = \frac{0,2977 z^{-1} - 0,2962 z^{-2}}{1 - 1,825 z^{-1} + 0,8496 z^{-2}} + \end{equation*} - Après avoir trouvé un modèle qui nous va, nous avons ensuite retrouvé la vraie fonction de transfert du rail. Avec la relation qui suit: + \vspace{1em} + Après avoir trouvé le modèle souhaité, nous avons ensuite retrouvé la vraie fonction transferte du rail : - Après avoir trouvé le modèle souhaité, nous avons ensuite retrouvé la vraie fonction transferte du rail. Avec la relation qui suit: - - \begin{equation} + \begin{equation*} H(s)=\frac{G(s)}{1+G(s)}\Rightarrow G(s)=\frac{H(s)}{1+H(s)} - \end{equation} + \end{equation*} \end{frame}