mise a jour Q-7-8
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latex/Questions/Q7.tex
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latex/Questions/Q7.tex
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\textbf{Question 7}
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Nous avons utilisé une boucle \texttt{for} sous MATLAB afin de tester les valeurs de $k$ entre 0 e 100.
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Le gain $H$ est ensuite calculé à partir d'un système en boucle fermée de la forme :
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\begin{equation}
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\dot{x}(t) = (A-BK)x(t) + BHr(t),
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\qquad
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y(t)=Cx(t),
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\end{equation}
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on impose que, en régime permanent, la sortie suive la consigne. On utilise donc :
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\begin{equation}
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H = -\frac{1}{C(A-BK)^{-1}B}.
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\end{equation}
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Ainsi, les valeurs retenues pour la commande en boucle fermée sont :
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\begin{equation}
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\boxed{
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k = 1{,}85,
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\qquad
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H = -3.
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}
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\end{equation}
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latex/Questions/Q8.tex
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latex/Questions/Q8.tex
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\textbf{Question 8}
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La figure montre que $w(L,t)$ suit la consigne $w_c(t)$ et converge vers 1, avec une erreur nulle 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/Q8} % Remplacez par votre image
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\caption{Suivi de la consigne $wc(t)$ par la position $w(L,t)$.}
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\end{figure}
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latex/Questions/Q9.tex
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latex/Questions/Q9.tex
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\newpage
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\textbf{Question 9}
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REWRITE
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\begin{figure}[h]
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\centering
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\begin{subfigure}{0.48\textwidth}
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\centering
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%%\includegraphics[width=\textwidth]{Illustrations/Q9Poles}
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\caption{Valeurs propres en temps continu.}
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\end{subfigure}
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\hfill
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\begin{subfigure}{0.48\textwidth}
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\centering
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%%\includegraphics[width=\textwidth]{Illustrations/Q9001}
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\caption{$T_s = 0{,}01\,\mathrm{s}$.}
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\end{subfigure}
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\vspace{0.3cm}
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\begin{subfigure}{0.48\textwidth}
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\centering
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%%\includegraphics[width=\textwidth]{Illustrations/Q9002_}
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\caption{$T_s = 0{,}02\,\mathrm{s}$.}
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\end{subfigure}
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\hfill
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\begin{subfigure}{0.48\textwidth}
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\centering
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%%\includegraphics[width=\textwidth]{Illustrations/Q9004_}
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\caption{$T_s = 0{,}04\,\mathrm{s}$.}
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\end{subfigure}
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\caption{Comparaison des valeurs propres du système en boucle fermée.}
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\end{figure}
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@ -13,7 +13,6 @@ Une introduction
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%%Q2
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\input{Questions/Q2}
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%%%%
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>>>>>>> 10ca19c (mise a jour du rapport)
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%%Q3
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\input{Questions/Q3}
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@ -25,7 +24,10 @@ Une introduction
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\newpage
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\input{Questions/Q5}
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%%
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\input{Questions/Q7}
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\input{Questions/Q8}
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\input{Questions/Q9}
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% \section{Une autre section}
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<Illustrations/Q8.png, id=491, 526.96875pt x 395.22656pt>
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Package pdftex.def Info: Illustrations/Q8.png used on input line 7.
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(pdftex.def) Requested size: 177.42868pt x 133.07262pt.
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) (Questions/Q9.tex
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File: template/assets/template_page.pdf Graphic file (type pdf)
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(pdftex.def) Requested size: 614.35538pt x 795.03171pt.
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[4 <./Illustrations/Q4eigenValTEMPSCONT.png (PNG copy)> <./Illustrations/Q40100.png (PNG copy)> <./Illustrations/Q40200.png (PNG copy)> <./Illustrations/Q40400.png (PNG copy)> <./Illustrations/Q5stepReponse.png (PNG copy)>]
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[5 <./Illustrations/Q8.png (PNG copy)>])) (template/derniere_page.tex
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File: template/assets/template_page.pdf Graphic file (type pdf)
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(pdftex.def) Requested size: 614.35538pt x 795.03171pt.
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[6]
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pdfTeX warning: pdflatex (file ./template/assets/template_last_page.pdf): PDF inclusion: found PDF version <1.7>, but at most version <1.5> allowed
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<template/assets/template_last_page.pdf, id=491, 469.44203pt x 655.09624pt>
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<template/assets/template_last_page.pdf, id=507, 469.44203pt x 655.09624pt>
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File: template/assets/template_last_page.pdf Graphic file (type pdf)
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<template/assets/carre.png, id=510, 15.05624pt x 15.05624pt>
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File: template/assets/carre.png Graphic file (type png)
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<use template/assets/carre.png>
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Package pdftex.def Info: template/assets/carre.png used on input line 22.
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@ -1183,7 +1199,7 @@ File: template/assets/template_page.pdf Graphic file (type pdf)
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(pdftex.def) Requested size: 614.35538pt x 795.03171pt.
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[5 <./template/assets/template_last_page.pdf> <./template/assets/carre.png>] (main.aux)
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[7 <./template/assets/template_last_page.pdf> <./template/assets/carre.png>] (main.aux)
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***********
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LaTeX2e <2025-11-01>
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L3 programming layer <2026-03-20>
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@ -1195,17 +1211,17 @@ Package logreq Info: Writing requests to 'main.run.xml'.
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)
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Here is how much of TeX's memory you used:
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35508 strings out of 467691
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670510 string characters out of 5414987
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1516419 words of memory out of 5000000
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64018 multiletter control sequences out of 15000+600000
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664740 words of font info for 79 fonts, out of 8000000 for 9000
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35552 strings out of 467691
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671562 string characters out of 5414987
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1515420 words of memory out of 5000000
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64045 multiletter control sequences out of 15000+600000
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665054 words of font info for 80 fonts, out of 8000000 for 9000
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1141 hyphenation exceptions out of 8191
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89i,12n,103p,761b,1819s stack positions out of 10000i,1000n,20000p,200000b,200000s
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<C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmex10.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmmi10.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmmi7.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmmi8.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmr10.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmr8.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmsy10.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmsy8.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/lm/lmss17.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/urw/helvetic/uhvb8a.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/urw/helvetic/uhvr8a.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/urw/helvetic/uhvro8a.pfb>
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Output written on main.pdf (7 pages, 335166 bytes).
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<C:\Users\gabri\AppData\Local\MiKTeX\fonts/pk/ljfour/jknappen/ec/dpi600\ectt1095.pk><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmex10.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmmi10.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmmi7.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmmi8.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmr10.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmr8.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmsy10.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/amsfonts/cm/cmsy8.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/public/lm/lmss17.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/urw/helvetic/uhvb8a.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/urw/helvetic/uhvr8a.pfb><C:/Users/gabri/AppData/Local/Programs/MiKTeX/fonts/type1/urw/helvetic/uhvro8a.pfb>
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Output written on main.pdf (9 pages, 361515 bytes).
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PDF statistics:
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562 PDF objects out of 1000 (max. 8388607)
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27 named destinations out of 1000 (max. 500000)
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95 words of extra memory for PDF output out of 10000 (max. 10000000)
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584 PDF objects out of 1000 (max. 8388607)
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34 named destinations out of 1000 (max. 500000)
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100 words of extra memory for PDF output out of 10000 (max. 10000000)
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Reference in a new issue