mise a jour Q-14-16-17-18-19
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29 changed files with 377 additions and 174 deletions
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latex/Illustrations/Q17.png
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latex/Illustrations/Q17.png
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\textbf{Question 12}
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La Figure~\ref{fig:Q15} montre que le système en boucle fermée suit correctement la référence et converge vers la consigne en régime permanent.
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.4\textwidth]{Illustrations/Q12} % Remplacez par votre image
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\caption{Simulation numérique du système continu en boucle fermée.}
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\label{fig:Q15}
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\end{figure}
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@ -1,6 +1,6 @@
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\textbf{Question 13}
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nous avons testé plusieurs périodes d'échantillonnage entre $0{,}1\,\mathrm{s}$ et $5\,\mathrm{s}$.
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Nous avons testé plusieurs périodes d'échantillonnage entre $0{,}1\,\mathrm{s}$ et $5\,\mathrm{s}$.
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Les valeurs propres discrètes restent à l'intérieur du cercle unité, comme le montre la Figure~\ref{fig:q13}.
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\begin{figure}[H]
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\textbf{Question 14}
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D'après la Figure~\ref{fig:q14_reponses}, les petites périodes d'échantillonnage permettent de mieux approcher la réponse temporelle continue, comme le montre la Figure~\ref{fig:Q15}.
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On choisit donc $T_s = 0{,}01\,\mathrm{s}$, car cette valeur conserve un comportement proche de la réponse continue.
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.4\textwidth]{Illustrations/im2} % Remplacez par votre image
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\caption{Réponses temporelles du système pour différentes périodes d'échantillonnage.}
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\label{fig:q14_reponses}
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\end{figure}
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latex/Questions/Q15.tex
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latex/Questions/Q15.tex
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\textbf{Question 15}
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:o
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latex/Questions/Q16.tex
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latex/Questions/Q16.tex
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\textbf{Question 16}
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La Figure~\ref{fig:q16_perturbation} montre que le système ne corrige pas l'erreur due à la perturbation.
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.4\textwidth]{Illustrations/im3} % Remplacez par votre image
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\caption{Simulation du système avec une perturbation.}
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\label{fig:q16_perturbation}
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\end{figure}
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Pour résoudre ce problème, il faudra ajouter une action intégrale.
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latex/Questions/Q17.tex
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latex/Questions/Q17.tex
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\textbf{Question 17}
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À partir des huit pôles obtenus avec la commande par retour d'état de la Question 11, on ajoute un pôle supplémentaire associé à l'action intégrale.
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\begin{equation}
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p_i = -4{,}3805
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\end{equation}
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Ainsi, les pôles désirés du système augmenté sont :
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\begin{equation}
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p_{\text{dés}} =
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\begin{bmatrix}
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-84{,}6647\\
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-7{,}5585+68{,}7669i\\
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-7{,}5585-68{,}7669i\\
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-27{,}9691+17{,}2408i\\
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-27{,}9691-17{,}2408i\\
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-15{,}9108\\
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-4{,}3805+2{,}6626i\\
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-4{,}3805-2{,}6626i\\
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-4{,}3805
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\end{bmatrix}.
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\end{equation}
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latex/Questions/Q18.tex
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latex/Questions/Q18.tex
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\textbf{Question 18}
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En utilisant la fonction \texttt{place} sous MATLAB, nous avons calculé les gains $K_1$ et $K_i$ :
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\begin{equation}
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K_1 =
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\begin{bmatrix}
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-3{,}1081 & -18{,}9367 & -0{,}1707 & 2{,}1192 & 19{,}4677 & -2{,}3049 & 2{,}3377 & -1{,}7524
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\end{bmatrix}
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\end{equation}
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\begin{equation}
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K_i =
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\begin{bmatrix}
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26{,}2831
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\end{bmatrix}.
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\end{equation}
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latex/Questions/Q19.tex
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latex/Questions/Q19.tex
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\textbf{Question 19}
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La Figure~\ref{fig:q19_integrale} montre qu'avec l'action intégrale, la perturbation est rejetée et l'erreur en régime permanent est annulée.
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.4\textwidth]{Illustrations/Q17} % Remplacez par votre image
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\caption{Simulation du système avec correction par action intégrale.}
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\label{fig:q19_integrale}
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\end{figure}
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latex/Questions/Q20.tex
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latex/Questions/Q20.tex
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@ -19,7 +19,7 @@ En multipliant les deux premières équations par $E^{-1}$, on obtient :
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\end{aligned}
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\end{equation}
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En multipliant les deux premières équations par $E^{-1}$, on obtient comme valeurs de $A$, $B$ et $C$ :
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Et, on obtient comme valeurs de $A$, $B$ et $C$ :
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\begin{equation}
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A =
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\textbf{Question 6}
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:o
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@ -1,5 +1,6 @@
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\textbf{Question 9}
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La Figure~\ref{fig:q9_eigenvalues} compare les valeurs propres du système en boucle fermée en temps continu avec celles obtenues après discrétisation par ZOH, pour les trois périodes d'échantillonnage proposées.
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@ -9,3 +9,13 @@ Tous les éléments présent dans le `/template` ne sont pas à modifier.
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Afin d'arranger les éléments souhaités dans la page, il faut commenter ou décommenter les sections correspondantes dans `main.tex`.
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Il suffit ensuite de remplir le `contents.tex` (le corp) ainsi que les fichiers `contents/*` qui permettent de segmenter les différentes sections de préambule et de fin de document.
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-------------
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##DZLL:
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- Il manque les question 6, 15, 20 et l'image de la question 10.
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- Dans la question 10, il manque un parenteses que change le valeur obtenu:
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fmax=max(abs(real(meilleurs_poles)))/(2*pi)
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- J'ai au un problem de indentation suer les question 19, 12, 8
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@ -1,38 +1,32 @@
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\psection{Introduction}
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Une introduction
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%\psection{Introduction}
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%Une introduction
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\newpage
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%%%%%%%%%%%%%%
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\section{Modélisation du système}
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%%%Q1
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\subsection{Dynamique avec EDP}
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\input{Questions/Q1}
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%%%
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%%Q2
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\subsection{Discrétisation par éléments finis}
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\input{Questions/Q2}
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%%%%
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%%Q3
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\input{Questions/Q3}
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%%
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%%Q4
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\input{Questions/Q4}
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%%
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%%%Q5
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\input{Questions/Q5}
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%%Q6
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\input{Questions/Q6}
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%%%%%%%%%%%%%%
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\section{Retour de sortie}
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%%
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\input{Questions/Q7}
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\input{Questions/Q8}
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\subsection{Retour de sortie par ZOH}
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%%newpage pour les imgs q9
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\newpage
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\input{Questions/Q9}
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\input{Questions/Q10}
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%%%%%%%%%%%%%%
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\section{Retour d'état}
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\input{Questions/Q11}
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\input{Questions/Q12}
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@ -41,24 +35,13 @@ Une introduction
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\input{Questions/Q13}
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\input{Questions/Q14}
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%%%%%%%%%%%%%%
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\section{Rejet de perturbation}
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\input{Questions/Q15}
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\input{Questions/Q16}
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% \begin{table}[h]
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% \centering
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% \caption{Ceci est un exemple de tableau.}
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% \begin{tabular}{|c|c|c|}
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% \hline
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% Colonne 1 & Colonne 2 & Colonne 3 \\ \hline
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% Donnée 1 & Donnée 2 & Donnée 3 \\ \hline
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% Donnée 4 & Donnée 5 & Donnée 6 \\ \hline
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% \end{tabular}
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% \label{tab:example}
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% \end{table}
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% \section{Another section}
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% \subsection{Une sous section}
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% \subsubsection{Une sous sous section}
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% Un mot compliqué\footnote{Une note de bas de page}
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% \newpage
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% \psection{Conclusion}
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% Une conclusion
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\subsection{Remplacement du pré-gain H}
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\input{Questions/Q17}
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\input{Questions/Q18}
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\input{Questions/Q19}
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\input{Questions/Q20}
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@ -11,21 +11,32 @@
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\textbf{Lieu du Projet de Fin d'Études ou stage}\\
|
||||
Nom de l’entreprise\\
|
||||
Adresse de l’entreprise
|
||||
\vspace{0.6em}\\
|
||||
\textbf{Tuteur du Projet (ou PFE)...}\\
|
||||
Prénom NOM du Tuteur du Projet de Fin d'Étude
|
||||
\vspace{0.6em}\\
|
||||
\textbf{Correspondant pédagogique INSA}\\
|
||||
Prénom NOM du Correspondant pédagogique INSA
|
||||
\vspace{0.6em}\\
|
||||
\textbf{PFE/Stage/Projet soutenu le 00/00/20XX}
|
||||
\textbf{Bureau d’étude : DIGITAL CONTROL OF A CANTILEVER BEAM}
|
||||
\vspace{17em}\\
|
||||
% \textbf{Lieu du Projet de Fin d'Études ou stage}\\
|
||||
% Nom de l’entreprise\\
|
||||
% Adresse de l’entreprise
|
||||
% \vspace{0.6em}\\
|
||||
% \textbf{Tuteur du Projet (ou PFE)...}\\
|
||||
% Prénom NOM du Tuteur du Projet de Fin d'Étude
|
||||
% \vspace{0.6em}\\
|
||||
% \textbf{Correspondant pédagogique INSA}\\
|
||||
% Prénom NOM du Correspondant pédagogique INSA
|
||||
% \vspace{0.6em}\\
|
||||
% \textbf{PFE/Stage/Projet soutenu le 00/00/20XX}
|
||||
\end{custombox}
|
||||
}
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,6 +1,10 @@
|
|||
\babel@toc {french}{}\relax
|
||||
\contentsline {section}{Introduction}{1}{section*.1}%
|
||||
\contentsline {section}{\numberline {1}Modélisation du système}{2}{section.1}%
|
||||
\contentsline {section}{\numberline {2}Retour de sortie}{5}{section.2}%
|
||||
\contentsline {section}{\numberline {3}Retour d'état}{6}{section.3}%
|
||||
\contentsline {subsection}{\numberline {3.1}Retour d'état par ZOH}{7}{subsection.3.1}%
|
||||
\contentsline {section}{\numberline {1}Modélisation du système}{1}{section.1}%
|
||||
\contentsline {subsection}{\numberline {1.1}Dynamique avec EDP}{1}{subsection.1.1}%
|
||||
\contentsline {subsection}{\numberline {1.2}Discrétisation par éléments finis}{1}{subsection.1.2}%
|
||||
\contentsline {section}{\numberline {2}Retour de sortie}{4}{section.2}%
|
||||
\contentsline {subsection}{\numberline {2.1}Retour de sortie par ZOH}{4}{subsection.2.1}%
|
||||
\contentsline {section}{\numberline {3}Retour d'état}{5}{section.3}%
|
||||
\contentsline {subsection}{\numberline {3.1}Retour d'état par ZOH}{6}{subsection.3.1}%
|
||||
\contentsline {section}{\numberline {4}Rejet de perturbation}{7}{section.4}%
|
||||
\contentsline {subsection}{\numberline {4.1}Remplacement du pré-gain H}{7}{subsection.4.1}%
|
||||
|
|
|
|||
Loading…
Reference in a new issue