From e75705ae16e620595619852cb9be539604a0e988 Mon Sep 17 00:00:00 2001 From: ataban Date: Wed, 15 Apr 2026 20:55:28 +0200 Subject: [PATCH] =?UTF-8?q?facilit=C3=A9=20de=20travail=20sans=20inkscape?= =?UTF-8?q?=202?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- latex/contents.tex | 26 +++++++++++++------------- latex/main.pdf | Bin 246297 -> 255112 bytes latex/main.tex | 2 -- 3 files changed, 13 insertions(+), 15 deletions(-) diff --git a/latex/contents.tex b/latex/contents.tex index f300f93..49a0de2 100644 --- a/latex/contents.tex +++ b/latex/contents.tex @@ -26,7 +26,7 @@ Nous l'avons mis entre 0.1Hz à 4Hz. \hfill \begin{center} -\includesvg[inkscapelatex=false]{./Illustrations/multisine1} +%\includesvg[inkscapelatex=false]{./Illustrations/multisine1} \end{center} \vspace{3cm} @@ -168,7 +168,7 @@ Après avoir conçu le système avec n4sid(), nous avons retrouvé la fonction d Finalement, on essaie des différents valeurs de P pour observer le temps de réponse dans la boucle fermée. Nous tracons les différents valeurs dans un seul schèma pour voir l'impact d'un échelon sur le système. \begin{center} -\includesvg{./Illustrations/StepRespnseRail} +%\includesvg{./Illustrations/StepRespnseRail} \end{center} Le choix de P restait sur plusieurs tests du système bouclé avec un P de differentes valeurs. Voici les differents reponses du système d'un simple step. Nous avons choisi: \begin{equation} @@ -191,12 +191,12 @@ Pour cette deuxième boucle du système, on commence avec la boucle déjà exist \hfill -\includesvg{./Illustrations/bodeRail1} -\\ +%\includesvg{./Illustrations/bodeRail1} +%\\ Nous verrons que le point critique où il faut ajouter de la phase est à 1,4 rad/s. Donc on concoit le correcteur pour cela. Pour qu'on puisse augmenter les marges de phase, on utilise un correcteur d'avance de phase. Le correcteur d'avance de phase a une fonction de transfert sur la forme canonique\footnote{https://homepages.laas.fr/fgouaisb/donnees/M1ICM/slidesM1ICMp8.pdf} : $$G(p) = K_p \frac{1 + \alpha T p}{1 + T p}, avec \ \alpha \ > \ 1$$ -\includesvg{./Illustrations/bodeCorrecteur} +%\includesvg{./Illustrations/bodeCorrecteur} $$a = \frac {1 + \sin(\Phi)}{1 - \sin(\phi)} = \frac {1 + \sin(55°)}{1 - \sin(55°)} \approx 10$$ $$\omega_m = \frac{1}{T*\sqrt{a}} = \frac{1}{1.4*\sqrt 10} \approx 0,22$$ @@ -220,12 +220,12 @@ La boucle est bouclée et la balle est en equilibre. \includegraphics{./Illustrations/fig2.png} \includegraphics{./Illustrations/Schema_Forces.png} \includegraphics{./Illustrations/StepRespnseRail.png} -\includesvg{./Illustrations/bodeCorrecteur} -\includesvg{./Illustrations/bodeRail1} -\includesvg{./Illustrations/bodeRail} -\includesvg{./Illustrations/fig1} -\includesvg{./Illustrations/fig2} -\includesvg{./Illustrations/multisine1} -\includesvg{./Illustrations/multisine2} -\includesvg{./Illustrations/StepRespnseRail} +%\includesvg{./Illustrations/bodeCorrecteur} +%\includesvg{./Illustrations/bodeRail1} +%\includesvg{./Illustrations/bodeRail} +%\includesvg{./Illustrations/fig1} +%\includesvg{./Illustrations/fig2} +%\includesvg{./Illustrations/multisine1} +%\includesvg{./Illustrations/multisine2} +%\includesvg{./Illustrations/StepRespnseRail} \end{center} diff --git a/latex/main.pdf b/latex/main.pdf index e05197561f37e15942e9603fa229d32ce1b5dc3b..6ed0d52ff34c4e0ecba7f6949691ba27013b2b1b 100644 GIT binary patch delta 200365 zcmb5V2|QKZ7e5?|iV&_+gpA2_uj!gal(}%pT*i#oEW$~WGHV+$KgkrC=ebF)Ihp5V z${a%G{~?~I`u*Sc^S*tgv(DLPukZfuwbovH?Njt4vM2Rqq%1eC%5fpN1x~Vj>Zt7j z^rVO|CT>Vky`Pu7dQ$6~oJVd_nkk)({i~@^B4kyec=Cq_0rcekbHfV_&wN14RJi;_ z3(bn*d9R90@*fY5m&b*I_;(8Avf(#gV;)dZJ`W%tM1V6#b)wSMiyS&7xm39I_TBa=Ee%mnRTv|Z41M0^P)X9?pG=pvU{RAuabPI*FU?CwP=h4kY+ z=RaRK@+jnG-vf`~I$`E;-+y{fUq+t(TJuxv0ei6X5$&TLr8813pnmqH$rFyIbSn0; zYbu#q3NGKEnI9qsA9kic8k>|?`ct%;bHufX%cqt+Ws|xmzQ!NTy4d%UA)s=hzLQyj zG+UL|MqooRs-K}~h5gt$KfFRJ45OxA6~KRdsqF?4qx}&TKPssT#hz2gD2Q8bN*zyq zrh77SrQHQfX*l$}spdnXa?FDn_3LD;$?dU|Q|eV*uFxxW6%ypKW61k*H0nmz7mpf& zWbu191}rRtvLh3zW7F0BdOq+LQ@Y;V2~u2YG|n#xY9u0WLn-!qic^oYT$(UnG~!!$ znS7%^qdBu!r7n=0WTN2Ck%qx!SslTyC6s?%exKNRp9gBrR4Vl0xUmH1bk1r%hK|a)$DkNXXj9;2{O+vx2>FX6opTAX-owwT0xuE?}OXd2UnZRW}s7RC9W zePVr!yWFw3qZ2o(h3kNBc=fY>=c-uw0WFbXgCY#T9b!swgM=hXPyqidkRm4pSc1Fw zXkO4uz>O~?2vjrVAvBVKmqG0$&pjaqH0t0I&4A`RxD;kU^B-Iyc^S|Ghu263wBX@2 ziUBQjc+JOvMju}DGoXbJuLT%{c@M7z8H5j&A|W9L;X}1ZG=uP=UZgOC@S$Q9FN5%* zVib}=_)swl#UOmB7{$jRe5e@3&merL7$v}fRE`pc zg+uLpys&Vno(~BNhx++Yuy6=~j}I0O5%BTD!XX4c7y``QFP8aW2*^VSd_oKm5_vd$ zJ{SV>5CR_z0eJ|4ABKQDguo9&KpsNihan&jA@IWxU=DvN;)fx?BpwJb1enDG0fqq6 z_)CEJVH#i}4<5k~U?vX)7y?Y?FF^o?0CRaDzz|?A4+Izj%;kXqLx8C~5MT%}l?MV0 z0jBamfFZzC!U6cUSVF)mn2LcQM=JG&*A;4T72rvYg z$^!w008@D&zz|?64+IzjOeJ(6!4P0B4+Izj%;kXqLx8#bB?!R~_zxin!4UWlAqc?` zU@8xq!4UWlAqc?`_zxin!4P0751PRcAc4b~5P~5H96}I+AqX5o5P~5H96~_D5Cje( zz|M;lID`PZFA}EmSKqJ$BLxm2z%GmwID`QEFcPNnpcw>X5IlqcyD?Jm5CZJSNWnu0 zup=V{4&Wsd1gaCUp5~gww0>pC<_Gcu_ z4+I#3&>;larI9d~zn<**G!iEBP=Y}S9fE+p8kP=G?0Gd3rt`2Rj05I# zPm+NDoGcJKaTO0RA`pO>{0105sSM1>DS<38H`syieIvI8tHj!%j~W3!oVEooNza05 z5`Iv81_54B*n$_QAn@!g6}V4{g`X(`EDaU7MTG_SWWGS@92F2i*n@3)Qt*^q0kEH^ z0uE%XKt-tzYUmIk?W`S`rMv~=E+D`o8hg+{ zr3LQMBfy<=ZXgGt3NQ=^Ab#E++&;qt3aHrtiV*?M(eBBbfb=2)tkK$mP#$6sOw9tU z&a#0i_+AIyeXvWz0`n^|9fWC7o-~kIYuw<|Y z(4~{0^t>`KV5J7v80|p-trietqXtYDv4DY|5LnZxgLCZEVCUkmwyGDD!B1H3XR-r~ z^je_n5;Z7gwu6U#3lwrtgGd&8(9fU+o?WH}POKi!&M|=rMs{GwNe$H4u;AH6EuhLp z4S3ldfyCM4z>P^6aB@=v(n}6NnOPH@($mpp+0ixQaPL4XDh55UjD3=D*SGLYg& z00y4DcS(Q+hZ49TfB-u@&VUz11mrF&gE?3p(-=Tgi8s8qY=QB?||78ppN@0fP@hM!~bhYu{=j0i9ZGscrF5AzDr<8906XTZNVn} zDX_$+0*WLMAY6EFc*g*aUlZg>B7ljA9pJ@~g8~5&U@nCKXi-~WC#VgKufRhWvjs{* z7Qk8>0e-^QxnhJs0<8&rWDsCk+!mY>z6(6BQh|DjJ>xzNC`H5oMwSZHO4@^sJ9J=C z1OcpIKyi%r~)@v_0s%MGPFpt-v{XDi9@ueI`o}9!Lm) zPx1)x?5Zt5OS*vp1q85^^#<3Z7(kpNJPUHRU|PxzxF{h2+cjG-apf`aQAPl<>$YG) zIvj+mAOMfNEg-z=3glD~U|inznJfmV-9Ugv1#d7T%K(nwgiTw~76i*Z0t{*h5TJww zk=Me&AbkB?84EJ6V?mob0;H&TgIswAkg0(Hx~f>9q3{HlV-Udn#sgrlco~FhA^_b@ zxO;jap@asBS_mMZ2G6sSKfv5VfF(67AX0e>)U**`Lj4!fEUJuvR0jdxXxM^!)u#Yo z7Xdsld*o7p$s3H|Ei9*KVnN`|aPV0V0SdJqfFd<^kf{%|aLX3lR<{RF3}6V_cKakd zYM?=!Ap$Vz{OUsr!v@rD!#fULm?caqaK3{8UAlGvq2-S+hz2jTD8Z!OFDU%C7{P;+ zRG>y53wmz3;|T#qH7XEqZ~#V|4ZhO`&r6=6EeO-G#}`8Fzixi}SA!^B4!}T41)ko) zf~$JL_(J@9kMRV-TMZrfcNi%GY~G;-PWnP{KVh0wd+L$$+W3OPfX={b@16=3{F_%^ z2VV#YHVl$r;R-(`J|B#OM|L&w2vEp%qR!96#yS@=S7Vq6Hx87ft7(! 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\addbibresource{contents/bibliography.bib} -%svg -\usepackage{svg} %%Bibliotek for blokksjema