mise a jour Q-7-8

latex/Questions/Q7.tex

@@ -0,0 +1,28 @@
+\textbf{Question 7}
+
+Nous avons utilisé une boucle \texttt{for} sous MATLAB afin de tester les valeurs de $k$ entre 0 e 100. 
+
+
+Le gain $H$ est ensuite calculé à partir d'un système en boucle fermée de la forme :
+
+\begin{equation}
+\dot{x}(t) = (A-BK)x(t) + BHr(t),
+\qquad
+y(t)=Cx(t),
+\end{equation}
+
+on impose que, en régime permanent, la sortie suive la consigne. On utilise donc :
+
+\begin{equation}
+H = -\frac{1}{C(A-BK)^{-1}B}.
+\end{equation}
+
+Ainsi, les valeurs retenues pour la commande en boucle fermée sont :
+
+\begin{equation}
+\boxed{
+k = 1{,}85,
+\qquad
+H = -3.
+}
+\end{equation}

latex/Questions/Q8.tex

@@ -0,0 +1,9 @@
+\textbf{Question 8}
+
+La figure montre que $w(L,t)$ suit la consigne $w_c(t)$ et converge vers 1, avec une erreur nulle en régime permanent.
+
+\begin{figure}[H]
+    \centering
+    \includegraphics[width=0.4\textwidth]{Illustrations/Q8} % Remplacez par votre image
+    \caption{Suivi de la consigne $wc(t)$ par la position $w(L,t)$.}
+\end{figure}

latex/Questions/Q9.tex

@@ -0,0 +1,36 @@
+\newpage
+\textbf{Question 9}
+
+REWRITE
+
+\begin{figure}[h]
+    \centering
+
+    \begin{subfigure}{0.48\textwidth}
+        \centering
+        %%\includegraphics[width=\textwidth]{Illustrations/Q9Poles}
+        \caption{Valeurs propres en temps continu.}
+    \end{subfigure}
+    \hfill
+    \begin{subfigure}{0.48\textwidth}
+        \centering
+        %%\includegraphics[width=\textwidth]{Illustrations/Q9001}
+        \caption{$T_s = 0{,}01\,\mathrm{s}$.}
+    \end{subfigure}
+
+    \vspace{0.3cm}
+
+    \begin{subfigure}{0.48\textwidth}
+        \centering
+        %%\includegraphics[width=\textwidth]{Illustrations/Q9002_}
+        \caption{$T_s = 0{,}02\,\mathrm{s}$.}
+    \end{subfigure}
+    \hfill
+    \begin{subfigure}{0.48\textwidth}
+        \centering
+        %%\includegraphics[width=\textwidth]{Illustrations/Q9004_}
+        \caption{$T_s = 0{,}04\,\mathrm{s}$.}
+    \end{subfigure}
+
+    \caption{Comparaison des valeurs propres du système en boucle fermée.}
+\end{figure}

latex/contents.tex

@@ -13,7 +13,6 @@ Une introduction
 %%Q2
 \input{Questions/Q2} 
 %%%%
->>>>>>> 10ca19c (mise a jour du rapport)
 
 %%Q3
 \input{Questions/Q3} 
@@ -25,7 +24,10 @@ Une introduction
 \newpage
 \input{Questions/Q5} 
 %%
+\input{Questions/Q7}
+\input{Questions/Q8}
 
+\input{Questions/Q9}
 
 % \section{Une autre section}
 

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-Output written on main.pdf (7 pages, 335166 bytes).
+Output written on main.pdf (9 pages, 361515 bytes).
 PDF statistics:
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+ 584 PDF objects out of 1000 (max. 8388607)
- 27 named destinations out of 1000 (max. 500000)
+ 34 named destinations out of 1000 (max. 500000)
- 95 words of extra memory for PDF output out of 10000 (max. 10000000)
+ 100 words of extra memory for PDF output out of 10000 (max. 10000000)