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<h1 class="title">LaTeX Configuration for Tikz Figures</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org1dd6f76">1. Packages</a></li>
<li><a href="#orgb097669">2. Tikz related packages</a></li>
<li><a href="#orgef8c9ec">3. Tikz Libraries</a></li>
<li><a href="#org8ca068a">4. PGF Plot libraries and config</a></li>
<li><a href="#org4eb0de4">5. Setup size of figures</a></li>
<li><a href="#orga3a90aa">6. Setup Arrows style</a></li>
<li><a href="#orge17acf4">7. Colors</a></li>
<li><a href="#orgee5bb97">8. Control</a>
<li><a href="#orgeb233fa">1. Packages</a></li>
<li><a href="#org8c39360">2. Tikz related packages</a></li>
<li><a href="#org983cb7d">3. Tikz Libraries</a></li>
<li><a href="#org1148426">4. PGF Plot libraries and config</a></li>
<li><a href="#org35d7300">5. Setup size of figures</a></li>
<li><a href="#orgede76fe">6. Setup Arrows style</a></li>
<li><a href="#org96b5d69">7. Colors</a></li>
<li><a href="#orga318f09">8. Control</a>
<ul>
<li><a href="#orgea8451a">8.1. Blocks</a></li>
<li><a href="#org7ce8263">8.2. Branches</a></li>
<li><a href="#org28a7366">8.3. Hand Writen Style</a></li>
<li><a href="#org71f1934">8.4. DAC</a></li>
<li><a href="#org3701401">8.5. ADC</a></li>
<li><a href="#orgb647158">8.6. Gain</a></li>
<li><a href="#orgf9c3aa6">8.7. Add / Substract / Divide / Multiply block</a></li>
<li><a href="#org5f8db63">8.1. Blocks</a></li>
<li><a href="#org6e2b7de">8.2. Branches</a></li>
<li><a href="#orgd36d746">8.3. Hand Writen Style</a></li>
<li><a href="#org2640267">8.4. DAC</a></li>
<li><a href="#orga191a8b">8.5. ADC</a></li>
<li><a href="#orged7cf36">8.6. Gain</a></li>
<li><a href="#org38d8e7d">8.7. Add / Substract / Divide / Multiply block</a></li>
</ul>
</li>
<li><a href="#org29efc5d">9. Plots</a>
<li><a href="#org7aad8c7">9. Plots</a>
<ul>
<li><a href="#org9add0aa">9.1. Default line caps</a></li>
<li><a href="#orge810969">9.2. Grid</a></li>
<li><a href="#org1e383fb">9.3. Lines</a></li>
<li><a href="#org5ebbe78">9.4. Ticks</a></li>
<li><a href="#org999fa62">9.5. Size</a></li>
<li><a href="#org85d084a">9.6. Label</a></li>
<li><a href="#org29946e8">9.7. Legend</a></li>
<li><a href="#org9e10fa4">9.1. Default line caps</a></li>
<li><a href="#org7d05724">9.2. Grid</a></li>
<li><a href="#org494eb40">9.3. Lines</a></li>
<li><a href="#org2fb301b">9.4. Ticks</a></li>
<li><a href="#orgdf46af2">9.5. Size</a></li>
<li><a href="#orgb5d9397">9.6. Label</a></li>
<li><a href="#org95997d3">9.7. Legend</a></li>
</ul>
</li>
<li><a href="#org407f0ee">10. Mechanical</a>
<li><a href="#org8620c5d">10. Mechanical</a>
<ul>
<li><a href="#orgffe197b">10.1. Spring</a></li>
<li><a href="#org1f14fa9">10.2. Coil</a></li>
<li><a href="#org1622011">10.3. Damper</a></li>
<li><a href="#org5b48f92">10.4. Actuator</a></li>
<li><a href="#orgf654c5a">10.5. Ground</a></li>
<li><a href="#org6be18b5">10.6. Force Sensor</a></li>
<li><a href="#org3655499">10.7. Inertial Sensor</a></li>
<li><a href="#org2072839">10.8. Cross</a></li>
<li><a href="#org551a108">10.9. Piezoelectric actuator</a></li>
<li><a href="#org9769616">10.10. Voice coil</a></li>
<li><a href="#org4fad7e8">10.1. Spring</a></li>
<li><a href="#orgda1e1f4">10.2. Coil</a></li>
<li><a href="#org2d2c2fe">10.3. Damper</a></li>
<li><a href="#orgbd3233c">10.4. Actuator</a></li>
<li><a href="#orgd0c4527">10.5. Ground</a></li>
<li><a href="#org4c41ca9">10.6. Force Sensor</a></li>
<li><a href="#org4699edc">10.7. Inertial Sensor</a></li>
<li><a href="#orgfc14769">10.8. Cross</a></li>
<li><a href="#org7593ed1">10.9. Piezoelectric actuator</a></li>
<li><a href="#orgebe134c">10.10. Voice coil</a></li>
</ul>
</li>
<li><a href="#orgd9f02f9">11. Optics</a></li>
<li><a href="#orgb27c58d">12. Misc</a></li>
<li><a href="#org17bab25">13. More Defaults specific to this paper</a></li>
<li><a href="#orgd1f3c70">11. Optics</a></li>
<li><a href="#orgbd5a2ff">12. Misc</a></li>
<li><a href="#org27f9f50">13. More Defaults specific to this paper</a></li>
</ul>
</div>
</div>
<div id="outline-container-org1dd6f76" class="outline-2">
<h2 id="org1dd6f76"><span class="section-number-2">1</span> Packages</h2>
<div id="outline-container-orgeb233fa" class="outline-2">
<h2 id="orgeb233fa"><span class="section-number-2">1</span> Packages</h2>
<div class="outline-text-2" id="text-1">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\usepackage</span></span>[<span class="org-variable-name">utf8</span>]{<span class="org-function-name">inputenc</span>}
@@ -350,8 +119,8 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-orgb097669" class="outline-2">
<h2 id="orgb097669"><span class="section-number-2">2</span> Tikz related packages</h2>
<div id="outline-container-org8c39360" class="outline-2">
<h2 id="org8c39360"><span class="section-number-2">2</span> Tikz related packages</h2>
<div class="outline-text-2" id="text-2">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\usepackage</span></span>{<span class="org-function-name">tikz</span>} <span class="org-comment">% Tikz</span>
@@ -365,8 +134,8 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-orgef8c9ec" class="outline-2">
<h2 id="orgef8c9ec"><span class="section-number-2">3</span> Tikz Libraries</h2>
<div id="outline-container-org983cb7d" class="outline-2">
<h2 id="org983cb7d"><span class="section-number-2">3</span> Tikz Libraries</h2>
<div class="outline-text-2" id="text-3">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\usetikzlibrary</span>{arrows} <span class="org-comment">% Arrow tip library</span>
@@ -393,8 +162,8 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-org8ca068a" class="outline-2">
<h2 id="org8ca068a"><span class="section-number-2">4</span> PGF Plot libraries and config</h2>
<div id="outline-container-org1148426" class="outline-2">
<h2 id="org1148426"><span class="section-number-2">4</span> PGF Plot libraries and config</h2>
<div class="outline-text-2" id="text-4">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\usepgfplotslibrary</span>{patchplots}
@@ -407,8 +176,8 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-org4eb0de4" class="outline-2">
<h2 id="org4eb0de4"><span class="section-number-2">5</span> Setup size of figures</h2>
<div id="outline-container-org35d7300" class="outline-2">
<h2 id="org35d7300"><span class="section-number-2">5</span> Setup size of figures</h2>
<div class="outline-text-2" id="text-5">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\newlength</span></span>{<span class="org-font-latex-sedate"><span class="org-function-name">\fheight</span></span>}
@@ -421,8 +190,8 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-orga3a90aa" class="outline-2">
<h2 id="orga3a90aa"><span class="section-number-2">6</span> Setup Arrows style</h2>
<div id="outline-container-orgede76fe" class="outline-2">
<h2 id="orgede76fe"><span class="section-number-2">6</span> Setup Arrows style</h2>
<div class="outline-text-2" id="text-6">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{&gt;=Stealth}
@@ -433,8 +202,8 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-orge17acf4" class="outline-2">
<h2 id="orge17acf4"><span class="section-number-2">7</span> Colors</h2>
<div id="outline-container-org96b5d69" class="outline-2">
<h2 id="org96b5d69"><span class="section-number-2">7</span> Colors</h2>
<div class="outline-text-2" id="text-7">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\usepackage</span></span>{<span class="org-function-name">xcolor</span>}<span class="org-comment">% Color extension</span>
@@ -447,12 +216,12 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-orgee5bb97" class="outline-2">
<h2 id="orgee5bb97"><span class="section-number-2">8</span> Control</h2>
<div id="outline-container-orga318f09" class="outline-2">
<h2 id="orga318f09"><span class="section-number-2">8</span> Control</h2>
<div class="outline-text-2" id="text-8">
</div>
<div id="outline-container-orgea8451a" class="outline-3">
<h3 id="orgea8451a"><span class="section-number-3">8.1</span> Blocks</h3>
<div id="outline-container-org5f8db63" class="outline-3">
<h3 id="org5f8db63"><span class="section-number-3">8.1</span> Blocks</h3>
<div class="outline-text-3" id="text-8-1">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -469,8 +238,8 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-org7ce8263" class="outline-3">
<h3 id="org7ce8263"><span class="section-number-3">8.2</span> Branches</h3>
<div id="outline-container-org6e2b7de" class="outline-3">
<h3 id="org6e2b7de"><span class="section-number-3">8.2</span> Branches</h3>
<div class="outline-text-3" id="text-8-2">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzstyle</span>{branch}=[fill,shape=circle,minimum size=4pt,inner sep=0pt]
@@ -481,8 +250,8 @@ for the JavaScript code in this tag.
</div>
</div>
<div id="outline-container-org28a7366" class="outline-3">
<h3 id="org28a7366"><span class="section-number-3">8.3</span> Hand Writen Style</h3>
<div id="outline-container-orgd36d746" class="outline-3">
<h3 id="orgd36d746"><span class="section-number-3">8.3</span> Hand Writen Style</h3>
<div class="outline-text-3" id="text-8-3">
<p>
Usefull for schematic plots
@@ -494,8 +263,8 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-org71f1934" class="outline-3">
<h3 id="org71f1934"><span class="section-number-3">8.4</span> DAC</h3>
<div id="outline-container-org2640267" class="outline-3">
<h3 id="org2640267"><span class="section-number-3">8.4</span> DAC</h3>
<div class="outline-text-3" id="text-8-4">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -509,8 +278,8 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-org3701401" class="outline-3">
<h3 id="org3701401"><span class="section-number-3">8.5</span> ADC</h3>
<div id="outline-container-orga191a8b" class="outline-3">
<h3 id="orga191a8b"><span class="section-number-3">8.5</span> ADC</h3>
<div class="outline-text-3" id="text-8-5">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -525,8 +294,8 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-orgb647158" class="outline-3">
<h3 id="orgb647158"><span class="section-number-3">8.6</span> Gain</h3>
<div id="outline-container-orged7cf36" class="outline-3">
<h3 id="orged7cf36"><span class="section-number-3">8.6</span> Gain</h3>
<div class="outline-text-3" id="text-8-6">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -564,8 +333,8 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-orgf9c3aa6" class="outline-3">
<h3 id="orgf9c3aa6"><span class="section-number-3">8.7</span> Add / Substract / Divide / Multiply block</h3>
<div id="outline-container-org38d8e7d" class="outline-3">
<h3 id="org38d8e7d"><span class="section-number-3">8.7</span> Add / Substract / Divide / Multiply block</h3>
<div class="outline-text-3" id="text-8-7">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">% Add block with Circled operations</span>
@@ -630,12 +399,12 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-org29efc5d" class="outline-2">
<h2 id="org29efc5d"><span class="section-number-2">9</span> Plots</h2>
<div id="outline-container-org7aad8c7" class="outline-2">
<h2 id="org7aad8c7"><span class="section-number-2">9</span> Plots</h2>
<div class="outline-text-2" id="text-9">
</div>
<div id="outline-container-org9add0aa" class="outline-3">
<h3 id="org9add0aa"><span class="section-number-3">9.1</span> Default line caps</h3>
<div id="outline-container-org9e10fa4" class="outline-3">
<h3 id="org9e10fa4"><span class="section-number-3">9.1</span> Default line caps</h3>
<div class="outline-text-3" id="text-9-1">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\pgfplotsset</span>{
@@ -647,8 +416,8 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-orge810969" class="outline-3">
<h3 id="orge810969"><span class="section-number-3">9.2</span> Grid</h3>
<div id="outline-container-org7d05724" class="outline-3">
<h3 id="org7d05724"><span class="section-number-3">9.2</span> Grid</h3>
<div class="outline-text-3" id="text-9-2">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\pgfplotsset</span>{grid style={black}}
@@ -661,8 +430,8 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-org1e383fb" class="outline-3">
<h3 id="org1e383fb"><span class="section-number-3">9.3</span> Lines</h3>
<div id="outline-container-org494eb40" class="outline-3">
<h3 id="org494eb40"><span class="section-number-3">9.3</span> Lines</h3>
<div class="outline-text-3" id="text-9-3">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\pgfplotsset</span>{separate axis lines=false} <span class="org-comment">% draw axis as rectangle and not as 4 lines</span>
@@ -676,8 +445,8 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-org5ebbe78" class="outline-3">
<h3 id="org5ebbe78"><span class="section-number-3">9.4</span> Ticks</h3>
<div id="outline-container-org2fb301b" class="outline-3">
<h3 id="org2fb301b"><span class="section-number-3">9.4</span> Ticks</h3>
<div class="outline-text-3" id="text-9-4">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\pgfplotsset</span>{every y tick label/.append style={font=<span class="org-font-latex-sedate">\color</span>{black}}}
@@ -689,8 +458,8 @@ Usefull for schematic plots
</div>
</div>
<div id="outline-container-org999fa62" class="outline-3">
<h3 id="org999fa62"><span class="section-number-3">9.5</span> Size</h3>
<div id="outline-container-orgdf46af2" class="outline-3">
<h3 id="orgdf46af2"><span class="section-number-3">9.5</span> Size</h3>
<div class="outline-text-3" id="text-9-5">
<p>
If <code>scale only axis=false</code> (the default), pgfplots will try to produce the desired width including labels, titles and ticks.
@@ -702,8 +471,8 @@ If <code>scale only axis=false</code> (the default), pgfplots will try to produc
</div>
</div>
<div id="outline-container-org85d084a" class="outline-3">
<h3 id="org85d084a"><span class="section-number-3">9.6</span> Label</h3>
<div id="outline-container-orgb5d9397" class="outline-3">
<h3 id="orgb5d9397"><span class="section-number-3">9.6</span> Label</h3>
<div class="outline-text-3" id="text-9-6">
<p>
Used to align all of ylabel of one figure.
@@ -715,8 +484,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org29946e8" class="outline-3">
<h3 id="org29946e8"><span class="section-number-3">9.7</span> Legend</h3>
<div id="outline-container-org95997d3" class="outline-3">
<h3 id="org95997d3"><span class="section-number-3">9.7</span> Legend</h3>
<div class="outline-text-3" id="text-9-7">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-comment-delimiter">% </span><span class="org-comment">https://tex.stackexchange.com/questions/54794/using-a-pgfplots-style-legend-in-a-plain-old-tikzpicture#54834</span>
@@ -754,12 +523,12 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org407f0ee" class="outline-2">
<h2 id="org407f0ee"><span class="section-number-2">10</span> Mechanical</h2>
<div id="outline-container-org8620c5d" class="outline-2">
<h2 id="org8620c5d"><span class="section-number-2">10</span> Mechanical</h2>
<div class="outline-text-2" id="text-10">
</div>
<div id="outline-container-orgffe197b" class="outline-3">
<h3 id="orgffe197b"><span class="section-number-3">10.1</span> Spring</h3>
<div id="outline-container-org4fad7e8" class="outline-3">
<h3 id="org4fad7e8"><span class="section-number-3">10.1</span> Spring</h3>
<div class="outline-text-3" id="text-10-1">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -780,8 +549,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org1f14fa9" class="outline-3">
<h3 id="org1f14fa9"><span class="section-number-3">10.2</span> Coil</h3>
<div id="outline-container-orgda1e1f4" class="outline-3">
<h3 id="orgda1e1f4"><span class="section-number-3">10.2</span> Coil</h3>
<div class="outline-text-3" id="text-10-2">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -802,8 +571,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org1622011" class="outline-3">
<h3 id="org1622011"><span class="section-number-3">10.3</span> Damper</h3>
<div id="outline-container-org2d2c2fe" class="outline-3">
<h3 id="org2d2c2fe"><span class="section-number-3">10.3</span> Damper</h3>
<div class="outline-text-3" id="text-10-3">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -830,8 +599,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org5b48f92" class="outline-3">
<h3 id="org5b48f92"><span class="section-number-3">10.4</span> Actuator</h3>
<div id="outline-container-orgbd3233c" class="outline-3">
<h3 id="orgbd3233c"><span class="section-number-3">10.4</span> Actuator</h3>
<div class="outline-text-3" id="text-10-4">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -861,8 +630,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-orgf654c5a" class="outline-3">
<h3 id="orgf654c5a"><span class="section-number-3">10.5</span> Ground</h3>
<div id="outline-container-orgd0c4527" class="outline-3">
<h3 id="orgd0c4527"><span class="section-number-3">10.5</span> Ground</h3>
<div class="outline-text-3" id="text-10-5">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -884,8 +653,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org6be18b5" class="outline-3">
<h3 id="org6be18b5"><span class="section-number-3">10.6</span> Force Sensor</h3>
<div id="outline-container-org4c41ca9" class="outline-3">
<h3 id="org4c41ca9"><span class="section-number-3">10.6</span> Force Sensor</h3>
<div class="outline-text-3" id="text-10-6">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -914,8 +683,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org3655499" class="outline-3">
<h3 id="org3655499"><span class="section-number-3">10.7</span> Inertial Sensor</h3>
<div id="outline-container-org4699edc" class="outline-3">
<h3 id="org4699edc"><span class="section-number-3">10.7</span> Inertial Sensor</h3>
<div class="outline-text-3" id="text-10-7">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -943,8 +712,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org2072839" class="outline-3">
<h3 id="org2072839"><span class="section-number-3">10.8</span> Cross</h3>
<div id="outline-container-orgfc14769" class="outline-3">
<h3 id="orgfc14769"><span class="section-number-3">10.8</span> Cross</h3>
<div class="outline-text-3" id="text-10-8">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzstyle</span>{cross}=[path picture={
@@ -957,8 +726,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org551a108" class="outline-3">
<h3 id="org551a108"><span class="section-number-3">10.9</span> Piezoelectric actuator</h3>
<div id="outline-container-org7593ed1" class="outline-3">
<h3 id="org7593ed1"><span class="section-number-3">10.9</span> Piezoelectric actuator</h3>
<div class="outline-text-3" id="text-10-9">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -986,8 +755,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org9769616" class="outline-3">
<h3 id="org9769616"><span class="section-number-3">10.10</span> Voice coil</h3>
<div id="outline-container-orgebe134c" class="outline-3">
<h3 id="orgebe134c"><span class="section-number-3">10.10</span> Voice coil</h3>
<div class="outline-text-3" id="text-10-10">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\def\voicecoil</span>#1#2#3{
@@ -1058,8 +827,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-orgd9f02f9" class="outline-2">
<h2 id="orgd9f02f9"><span class="section-number-2">11</span> Optics</h2>
<div id="outline-container-orgd1f3c70" class="outline-2">
<h2 id="orgd1f3c70"><span class="section-number-2">11</span> Optics</h2>
<div class="outline-text-2" id="text-11">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -1087,8 +856,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-orgb27c58d" class="outline-2">
<h2 id="orgb27c58d"><span class="section-number-2">12</span> Misc</h2>
<div id="outline-container-orgbd5a2ff" class="outline-2">
<h2 id="orgbd5a2ff"><span class="section-number-2">12</span> Misc</h2>
<div class="outline-text-2" id="text-12">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{<span class="org-comment">%</span>
@@ -1105,8 +874,8 @@ Used to align all of ylabel of one figure.
</div>
</div>
<div id="outline-container-org17bab25" class="outline-2">
<h2 id="org17bab25"><span class="section-number-2">13</span> More Defaults specific to this paper</h2>
<div id="outline-container-org27f9f50" class="outline-2">
<h2 id="org27f9f50"><span class="section-number-2">13</span> More Defaults specific to this paper</h2>
<div class="outline-text-2" id="text-13">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{block/.default={0.8cm}{0.8cm}}
@@ -1119,8 +888,7 @@ Used to align all of ylabel of one figure.
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-11-05 mar. 17:27</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2020-11-12 jeu. 10:44</p>
</div>
</body>
</html>

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@@ -1,11 +1,10 @@
#+TITLE: LaTeX Configuration for Tikz Figures
:DRAWER:
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#+HTML_HEAD: <script src="../js/bootstrap.min.js"></script>
#+HTML_HEAD: <script src="../js/jquery.stickytableheaders.min.js"></script>
#+HTML_HEAD: <script src="../js/readtheorg.js"></script>
#+HTML_LINK_HOME: ../index.html
#+HTML_LINK_UP: ../index.html
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="https://research.tdehaeze.xyz/css/style.css"/>
#+HTML_HEAD: <script type="text/javascript" src="https://research.tdehaeze.xyz/js/script.js"></script>
#+PROPERTY: header-args:latex+ :tangle config.tex
#+PROPERTY: header-args:latex+ :exports code

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<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Complementary Filters Shaping Using \(\mathcal{H}_\infty\) Synthesis - Tikz Figures</title>
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<meta name="author" content="Thomas Dehaeze" />
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<div id="org-div-home-and-up">
@@ -279,36 +30,35 @@ for the JavaScript code in this tag.
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#orge7053aa">1. Fig 1: Sensor Fusion Architecture</a></li>
<li><a href="#org39b5d0c">2. Fig 2: Sensor fusion architecture with sensor dynamics uncertainty</a></li>
<li><a href="#orgfc9382d">3. Fig 3: Uncertainty set of the super sensor dynamics</a></li>
<li><a href="#orgb356b70">4. Fig 4: Architecture used for \(\mathcal{H}_\infty\) synthesis of complementary filters</a></li>
<li><a href="#orgdeaeaf4">5. Fig 5: Magnitude of a weighting function generated using the proposed formula</a></li>
<li><a href="#org8ce545c">6. Fig 6: Frequency response of the weighting functions and complementary filters obtained using \(\mathcal{H}_\infty\) synthesis</a></li>
<li><a href="#orgac21d24">7. Fig 7: Architecture for \(\mathcal{H}_\infty\) synthesis of three complementary filters</a></li>
<li><a href="#org9688457">8. Fig 8: Frequency response of the weighting functions and three complementary filters obtained using \(\mathcal{H}_\infty\) synthesis</a></li>
<li><a href="#org8d6867c">9. Fig 9: Specifications and weighting functions magnitude used for \(\mathcal{H}_\infty\) synthesis</a></li>
<li><a href="#orgb6ae2f5">10. Fig 10: Comparison of the FIR filters (solid) with the filters obtained with \(\mathcal{H}_\infty\) synthesis (dashed)</a></li>
<li><a href="#org9059d4e">1. Fig 1: Sensor Fusion Architecture</a></li>
<li><a href="#orgf8987c9">2. Fig 2: Sensor fusion architecture with sensor dynamics uncertainty</a></li>
<li><a href="#org1801a90">3. Fig 3: Uncertainty set of the super sensor dynamics</a></li>
<li><a href="#org355bde0">4. Fig 4: Architecture used for \(\mathcal{H}_\infty\) synthesis of complementary filters</a></li>
<li><a href="#org879ecb3">5. Fig 5: Magnitude of a weighting function generated using the proposed formula</a></li>
<li><a href="#org2b1f7ae">6. Fig 6: Frequency response of the weighting functions and complementary filters obtained using \(\mathcal{H}_\infty\) synthesis</a></li>
<li><a href="#org84a7e33">7. Fig 7: Architecture for \(\mathcal{H}_\infty\) synthesis of three complementary filters</a></li>
<li><a href="#org20bfce3">8. Fig 8: Frequency response of the weighting functions and three complementary filters obtained using \(\mathcal{H}_\infty\) synthesis</a></li>
<li><a href="#orgb08c277">9. Fig 9: Specifications and weighting functions magnitude used for \(\mathcal{H}_\infty\) synthesis</a></li>
<li><a href="#org74b4762">10. Fig 10: Comparison of the FIR filters (solid) with the filters obtained with \(\mathcal{H}_\infty\) synthesis (dashed)</a></li>
</ul>
</div>
</div>
<p>
Configuration file is accessible <a href="config.html">here</a>.
</p>
<div id="outline-container-orge7053aa" class="outline-2">
<h2 id="orge7053aa"><span class="section-number-2">1</span> Fig 1: Sensor Fusion Architecture</h2>
<div id="outline-container-org9059d4e" class="outline-2">
<h2 id="org9059d4e"><span class="section-number-2">1</span> Fig 1: Sensor Fusion Architecture</h2>
<div class="outline-text-2" id="text-1">
<div class="org-src-container">
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@@ -316,8 +66,8 @@ Configuration file is accessible <a href="config.html">here</a>.
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@@ -338,7 +88,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="orgc3d769f" class="figure">
<div id="org9c10944" class="figure">
<p><img src="figs/fusion_super_sensor.png" alt="fusion_super_sensor.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Sensor Fusion Architecture (<a href="./figs/fusion_super_sensor.png">png</a>, <a href="./figs/fusion_super_sensor.pdf">pdf</a>, <a href="./figs/fusion_super_sensor.tex">tex</a>).</p>
@@ -346,20 +96,20 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-org39b5d0c" class="outline-2">
<h2 id="org39b5d0c"><span class="section-number-2">2</span> Fig 2: Sensor fusion architecture with sensor dynamics uncertainty</h2>
<div id="outline-container-orgf8987c9" class="outline-2">
<h2 id="orgf8987c9"><span class="section-number-2">2</span> Fig 2: Sensor fusion architecture with sensor dynamics uncertainty</h2>
<div class="outline-text-2" id="text-2">
<div class="org-src-container">
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@@ -388,7 +138,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="orgde2b8c0" class="figure">
<div id="orgfc65b94" class="figure">
<p><img src="figs/sensor_fusion_dynamic_uncertainty.png" alt="sensor_fusion_dynamic_uncertainty.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Sensor fusion architecture with sensor dynamics uncertainty (<a href="./figs/sensor_fusion_dynamic_uncertainty.png">png</a>, <a href="./figs/sensor_fusion_dynamic_uncertainty.pdf">pdf</a>, <a href="./figs/sensor_fusion_dynamic_uncertainty.tex">tex</a>).</p>
@@ -396,8 +146,8 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-orgfc9382d" class="outline-2">
<h2 id="orgfc9382d"><span class="section-number-2">3</span> Fig 3: Uncertainty set of the super sensor dynamics</h2>
<div id="outline-container-org1801a90" class="outline-2">
<h2 id="org1801a90"><span class="section-number-2">3</span> Fig 3: Uncertainty set of the super sensor dynamics</h2>
<div class="outline-text-2" id="text-3">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>}
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<span class="org-font-latex-sedate">\draw</span>[-&gt;, dashed, out=0, in=-180] (l2.east) to (r2);
<span class="org-font-latex-sedate">\draw</span>[&lt;-&gt;, dashed] (0, 0) -- coordinate[near end](r3) ++(200:1.8);
<span class="org-font-latex-sedate">\node</span>[] (l3) at (-2.5, -1.5) {<span class="org-font-latex-math">$|w</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_1</span></span><span class="org-font-latex-math"> H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_1</span></span><span class="org-font-latex-math">| + |w</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math"> H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math">|$</span>};
<span class="org-font-latex-sedate">\node</span>[] (l3) at (-2.5, -1.5) {<span class="org-font-latex-math">$|w</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">1 H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">1| + |w</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2 H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2|$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;, dashed, out=90, in=-90] (l3.north) to (r3);
<span class="org-comment">% % Uncertainty Regions</span>
<span class="org-comment">% </span><span class="org-font-latex-sedate"><span class="org-comment">\node</span></span><span class="org-comment">[below left] at (45:1.8) {$</span><span class="org-font-latex-sedate"><span class="org-comment">\Pi</span></span><span class="org-comment">_{</span><span class="org-font-latex-sedate"><span class="org-comment">\text</span></span><span class="org-comment">{ss}}$};</span>
<span class="org-comment">% </span><span class="org-font-latex-sedate"><span class="org-comment">\node</span></span><span class="org-comment">[above left] at (-45:1.0) {$</span><span class="org-font-latex-sedate"><span class="org-comment">\Pi</span></span><span class="org-comment">_{1}$};</span>
<span class="org-comment">% </span><span class="org-font-latex-sedate"><span class="org-comment">\node</span></span><span class="org-comment">[below] at ($(135:1.0)+(0, 0.8)$) {$</span><span class="org-font-latex-sedate"><span class="org-comment">\Pi</span></span><span class="org-comment">_{2}$};</span>
<span class="org-font-latex-sedate"><span class="org-keyword">\end</span></span>{<span class="org-function-name">scope</span>}
<span class="org-comment">% Real and Imaginary Axis</span>
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (-0.5, 0) -- (7.0, 0) node[below left]{Re};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (0, -1.8) -- (0, 2.0) node[below left]{Im};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (0, -1.7) -- (0, 1.7) node[below left]{Im};
<span class="org-font-latex-sedate">\draw</span>[dashed] (0, 0) -- (tangent cs:node=c,point={(0, 0)},solution=2);
<span class="org-font-latex-sedate">\draw</span>[dashed] (1, 0) arc (0:28:1) node[midway, right]{<span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\Delta</span></span><span class="org-font-latex-math"> </span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\phi</span></span><span class="org-font-latex-math">$</span>};
@@ -441,7 +186,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="orgf3182a4" class="figure">
<div id="orga1a6d2e" class="figure">
<p><img src="figs/uncertainty_set_super_sensor.png" alt="uncertainty_set_super_sensor.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Uncertainty region of the super sensor dynamics in the complex plane (solid circle), of the sensor 1 (dotted circle) and of the sensor 2 (dashed circle) (<a href="./figs/uncertainty_set_super_sensor.png">png</a>, <a href="./figs/uncertainty_set_super_sensor.pdf">pdf</a>, <a href="./figs/uncertainty_set_super_sensor.tex">tex</a>).</p>
@@ -449,8 +194,8 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-orgb356b70" class="outline-2">
<h2 id="orgb356b70"><span class="section-number-2">4</span> Fig 4: Architecture used for \(\mathcal{H}_\infty\) synthesis of complementary filters</h2>
<div id="outline-container-org355bde0" class="outline-2">
<h2 id="org355bde0"><span class="section-number-2">4</span> Fig 4: Architecture used for \(\mathcal{H}_\infty\) synthesis of complementary filters</h2>
<div class="outline-text-2" id="text-4">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>}
@@ -464,25 +209,25 @@ Configuration file is accessible <a href="config.html">here</a>.
<span class="org-font-latex-sedate">\coordinate</span>[] (output2) at (<span class="org-font-latex-math">$(P.south east)!0.35!(P.north east) + ( 0.7, 0)$</span>);
<span class="org-font-latex-sedate">\coordinate</span>[] (outputv) at (<span class="org-font-latex-math">$(P.south east)!0.1!(P.north east) + ( 0.7, 0)$</span>);
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output1] (W1){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_1</span></span><span class="org-font-latex-math">(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output2] (W2){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math">(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output1] (W1){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">1(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output2] (W2){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[addb={+}{}{}{}{-}, left=of W1] (sub) {};
<span class="org-font-latex-sedate">\node</span>[block, below=0.3 of P] (H2) {<span class="org-font-latex-math">$H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math">(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, below=0.3 of P] (H2) {<span class="org-font-latex-math">$H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2(s)$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (inputw) node[above right]{<span class="org-font-latex-math">$w$</span>} -- (sub.west);
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (H2.west) -| (<span class="org-font-latex-math">$(inputu)+(0.35, 0)$</span>) node[above]{<span class="org-font-latex-math">$u$</span>} -- (W2.west);
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (inputu-|sub) node[branch]{} -- (sub.south);
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (sub.east) -- (W1.west);
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (<span class="org-font-latex-math">$(sub.west)+(-0.6, 0)$</span>) node[branch]{} |- (<span class="org-font-latex-math">$(outputv)+(-0.35, 0)$</span>) node[above]{<span class="org-font-latex-math">$v$</span>} |- (H2.east);
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W1.east) -- (output1)node[above left]{<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_1</span></span><span class="org-font-latex-math">$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W2.east) -- (output2)node[above left]{<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math">$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W1.east) -- (output1)node[above left]{<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">1$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W2.east) -- (output2)node[above left]{<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2$</span>};
<span class="org-font-latex-sedate"><span class="org-keyword">\end</span></span>{<span class="org-function-name">tikzpicture</span>}
</pre>
</div>
<div id="org3cb8226" class="figure">
<div id="org903a05c" class="figure">
<p><img src="figs/h_infinity_robust_fusion.png" alt="h_infinity_robust_fusion.png" />
</p>
<p><span class="figure-number">Figure 4: </span>Architecture used for \(\mathcal{H}_\infty\) synthesis of complementary filters (<a href="./figs/h_infinity_robust_fusion.png">png</a>, <a href="./figs/h_infinity_robust_fusion.pdf">pdf</a>, <a href="./figs/h_infinity_robust_fusion.tex">tex</a>).</p>
@@ -490,8 +235,8 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-orgdeaeaf4" class="outline-2">
<h2 id="orgdeaeaf4"><span class="section-number-2">5</span> Fig 5: Magnitude of a weighting function generated using the proposed formula</h2>
<div id="outline-container-org879ecb3" class="outline-2">
<h2 id="org879ecb3"><span class="section-number-2">5</span> Fig 5: Magnitude of a weighting function generated using the proposed formula</h2>
<div class="outline-text-2" id="text-5">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fwidth</span></span>{<span class="org-variable-name">6.5cm</span>}
@@ -545,7 +290,7 @@ Configuration file is accessible <a href="config.html">here</a>.
10 1<span class="org-font-latex-warning">\\</span>
};
<span class="org-font-latex-sedate">\node</span>[below] at (2, 10) {<span class="org-font-latex-math">$G_\infty$</span>};
<span class="org-font-latex-sedate">\node</span>[below] at (2, 10) {<span class="org-font-latex-math">$G_</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\infty</span></span><span class="org-font-latex-math">$</span>};
<span class="org-font-latex-sedate">\node</span>[above] at (2, 0.001) {<span class="org-font-latex-math">$G_0$</span>};
<span class="org-font-latex-sedate">\node</span>[branch] at (10, 2){};
@@ -560,7 +305,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="orga3a1174" class="figure">
<div id="org1aeddba" class="figure">
<p><img src="figs/weight_formula.png" alt="weight_formula.png" />
</p>
<p><span class="figure-number">Figure 5: </span>Magnitude of a weighting function generated using the proposed formula (<a href="./figs/weight_formula.png">png</a>, <a href="./figs/weight_formula.pdf">pdf</a>, <a href="./figs/weight_formula.tex">tex</a>).</p>
@@ -568,8 +313,8 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-org8ce545c" class="outline-2">
<h2 id="org8ce545c"><span class="section-number-2">6</span> Fig 6: Frequency response of the weighting functions and complementary filters obtained using \(\mathcal{H}_\infty\) synthesis</h2>
<div id="outline-container-org2b1f7ae" class="outline-2">
<h2 id="org2b1f7ae"><span class="section-number-2">6</span> Fig 6: Frequency response of the weighting functions and complementary filters obtained using \(\mathcal{H}_\infty\) synthesis</h2>
<div class="outline-text-2" id="text-6">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fwidth</span></span>{<span class="org-variable-name">6.5cm</span>}
@@ -579,7 +324,7 @@ Configuration file is accessible <a href="config.html">here</a>.
<span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">axis</span>}[<span class="org-comment">%</span>
width=1.0<span class="org-font-latex-sedate">\fwidth</span>,
height=0.5<span class="org-font-latex-sedate">\fheight</span>,
at={(0.0<span class="org-font-latex-sedate">\fwidth</span>, 0.5<span class="org-font-latex-sedate">\fheight</span>)},
at={(0.0<span class="org-font-latex-sedate">\fwidth</span>, 0.47<span class="org-font-latex-sedate">\fheight</span>)},
scale only axis,
xmode=log,
xmin=0.1,
@@ -643,7 +388,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="org49f0f1e" class="figure">
<div id="orgd2fb3fa" class="figure">
<p><img src="figs/hinf_synthesis_results.png" alt="hinf_synthesis_results.png" />
</p>
<p><span class="figure-number">Figure 6: </span>Frequency response of the weighting functions and complementary filters obtained using \(\mathcal{H}_\infty\) synthesis (<a href="./figs/hinf_synthesis_results.png">png</a>, <a href="./figs/hinf_synthesis_results.pdf">pdf</a>, <a href="./figs/hinf_synthesis_results.tex">tex</a>).</p>
@@ -651,8 +396,8 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-orgac21d24" class="outline-2">
<h2 id="orgac21d24"><span class="section-number-2">7</span> Fig 7: Architecture for \(\mathcal{H}_\infty\) synthesis of three complementary filters</h2>
<div id="outline-container-org84a7e33" class="outline-2">
<h2 id="org84a7e33"><span class="section-number-2">7</span> Fig 7: Architecture for \(\mathcal{H}_\infty\) synthesis of three complementary filters</h2>
<div class="outline-text-2" id="text-7">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>}
@@ -667,13 +412,13 @@ Configuration file is accessible <a href="config.html">here</a>.
<span class="org-font-latex-sedate">\coordinate</span>[] (output3) at (<span class="org-font-latex-math">$(P.south east)!0.3!(P.north east) + (0.7, 0)$</span>);
<span class="org-font-latex-sedate">\coordinate</span>[] (outputv) at (<span class="org-font-latex-math">$(P.south east)!0.1!(P.north east) + (0.7, 0)$</span>);
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output1] (W1){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_1</span></span><span class="org-font-latex-math">(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output2] (W2){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math">(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output3] (W3){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_3</span></span><span class="org-font-latex-math">(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output1] (W1){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">1(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output2] (W2){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[block, left=1.4 of output3] (W3){<span class="org-font-latex-math">$W</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">3(s)$</span>};
<span class="org-font-latex-sedate">\node</span>[addb={+}{}{}{}{-}, left=of W1] (sub1) {};
<span class="org-font-latex-sedate">\node</span>[addb={+}{}{}{}{-}, left=of sub1] (sub2) {};
<span class="org-font-latex-sedate">\node</span>[block, below=0.3 of P] (H) {<span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-keyword"><span class="org-font-latex-math">\begin</span></span></span><span class="org-font-latex-math">{</span><span class="org-function-name"><span class="org-font-latex-math">bmatrix</span></span><span class="org-font-latex-math">}H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math">(s) \\ H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_3</span></span><span class="org-font-latex-math">(s)</span><span class="org-font-latex-sedate"><span class="org-keyword"><span class="org-font-latex-math">\end</span></span></span><span class="org-font-latex-math">{</span><span class="org-function-name"><span class="org-font-latex-math">bmatrix</span></span><span class="org-font-latex-math">}$</span>};
<span class="org-font-latex-sedate">\node</span>[block, below=0.3 of P] (H) {<span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-keyword"><span class="org-font-latex-math">\begin</span></span></span><span class="org-font-latex-math">{</span><span class="org-function-name"><span class="org-font-latex-math">bmatrix</span></span><span class="org-font-latex-math">}H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2(s) \\ H</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">3(s)</span><span class="org-font-latex-sedate"><span class="org-keyword"><span class="org-font-latex-math">\end</span></span></span><span class="org-font-latex-math">{</span><span class="org-function-name"><span class="org-font-latex-math">bmatrix</span></span><span class="org-font-latex-math">}$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (inputw) node[above right](w){<span class="org-font-latex-math">$w$</span>} -- (sub2.west);
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W3-|sub1)node[branch]{} -- (sub1.south);
@@ -684,18 +429,18 @@ Configuration file is accessible <a href="config.html">here</a>.
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (sub2.east) -- (sub1.west);
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (sub1.east) -- (W1.west);
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W1.east) -- (output1)node[above left](z){<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_1</span></span><span class="org-font-latex-math">$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W2.east) -- (output2)node[above left]{<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math">$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W3.east) -- (output3)node[above left]{<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_3</span></span><span class="org-font-latex-math">$</span>};
<span class="org-font-latex-sedate">\node</span>[above] at (W2-|w){<span class="org-font-latex-math">$u</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_1</span></span><span class="org-font-latex-math">$</span>};
<span class="org-font-latex-sedate">\node</span>[above] at (W3-|w){<span class="org-font-latex-math">$u</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_2</span></span><span class="org-font-latex-math">$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W1.east) -- (output1)node[above left](z){<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">1$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W2.east) -- (output2)node[above left]{<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2$</span>};
<span class="org-font-latex-sedate">\draw</span>[-&gt;] (W3.east) -- (output3)node[above left]{<span class="org-font-latex-math">$z</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">3$</span>};
<span class="org-font-latex-sedate">\node</span>[above] at (W2-|w){<span class="org-font-latex-math">$u</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">1$</span>};
<span class="org-font-latex-sedate">\node</span>[above] at (W3-|w){<span class="org-font-latex-math">$u</span><span class="org-font-latex-math"><span class="org-font-latex-script-char">_</span></span><span class="org-font-latex-math">2$</span>};
<span class="org-font-latex-sedate">\node</span>[above] at (outputv-|z){<span class="org-font-latex-math">$v$</span>};
<span class="org-font-latex-sedate"><span class="org-keyword">\end</span></span>{<span class="org-function-name">tikzpicture</span>}
</pre>
</div>
<div id="orgd2b8673" class="figure">
<div id="orgb697644" class="figure">
<p><img src="figs/comp_filter_three_hinf.png" alt="comp_filter_three_hinf.png" />
</p>
<p><span class="figure-number">Figure 7: </span>Architecture for \(\mathcal{H}_\infty\) synthesis of three complementary filters (<a href="./figs/comp_filter_three_hinf.png">png</a>, <a href="./figs/comp_filter_three_hinf.pdf">pdf</a>, <a href="./figs/comp_filter_three_hinf.tex">tex</a>).</p>
@@ -703,8 +448,8 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-org9688457" class="outline-2">
<h2 id="org9688457"><span class="section-number-2">8</span> Fig 8: Frequency response of the weighting functions and three complementary filters obtained using \(\mathcal{H}_\infty\) synthesis</h2>
<div id="outline-container-org20bfce3" class="outline-2">
<h2 id="org20bfce3"><span class="section-number-2">8</span> Fig 8: Frequency response of the weighting functions and three complementary filters obtained using \(\mathcal{H}_\infty\) synthesis</h2>
<div class="outline-text-2" id="text-8">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fwidth</span></span>{<span class="org-variable-name">6.5cm</span>}
@@ -714,7 +459,7 @@ Configuration file is accessible <a href="config.html">here</a>.
<span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">axis</span>}[<span class="org-comment">%</span>
width=1.0<span class="org-font-latex-sedate">\fwidth</span>,
height=0.55<span class="org-font-latex-sedate">\fheight</span>,
at={(0.0<span class="org-font-latex-sedate">\fwidth</span>, 0.45<span class="org-font-latex-sedate">\fheight</span>)},
at={(0.0<span class="org-font-latex-sedate">\fwidth</span>, 0.42<span class="org-font-latex-sedate">\fheight</span>)},
scale only axis,
xmode=log,
xmin=0.1,
@@ -791,7 +536,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="org044b17c" class="figure">
<div id="orgdaa24c8" class="figure">
<p><img src="figs/hinf_three_synthesis_results.png" alt="hinf_three_synthesis_results.png" />
</p>
<p><span class="figure-number">Figure 8: </span>Frequency response of the weighting functions and three complementary filters obtained using \(\mathcal{H}_\infty\) synthesis (<a href="./figs/hinf_three_synthesis_results.png">png</a>, <a href="./figs/hinf_three_synthesis_results.pdf">pdf</a>, <a href="./figs/hinf_three_synthesis_results.tex">tex</a>).</p>
@@ -799,12 +544,12 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-org8d6867c" class="outline-2">
<h2 id="org8d6867c"><span class="section-number-2">9</span> Fig 9: Specifications and weighting functions magnitude used for \(\mathcal{H}_\infty\) synthesis</h2>
<div id="outline-container-orgb08c277" class="outline-2">
<h2 id="orgb08c277"><span class="section-number-2">9</span> Fig 9: Specifications and weighting functions magnitude used for \(\mathcal{H}_\infty\) synthesis</h2>
<div class="outline-text-2" id="text-9">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fwidth</span></span>{<span class="org-variable-name">6.5cm</span>}
<span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fheight</span></span>{<span class="org-variable-name">4cm</span>}
<span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fheight</span></span>{<span class="org-variable-name">3.2cm</span>}
<span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>}
<span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">axis</span>}[<span class="org-comment">%</span>
@@ -847,7 +592,7 @@ Configuration file is accessible <a href="config.html">here</a>.
<span class="org-font-latex-sedate">\addplot</span> [color=black, dotted, line width=1.5pt]
table[row sep=crcr]{<span class="org-comment">%</span>
0.0005 0.008<span class="org-font-latex-warning">\\</span>
0.0005 0.008<span class="org-font-latex-warning">\\</span>
0.008 0.008<span class="org-font-latex-warning">\\</span>
};
<span class="org-font-latex-sedate">\addlegendentry</span>{Specifications}
@@ -864,7 +609,7 @@ Configuration file is accessible <a href="config.html">here</a>.
};
<span class="org-font-latex-sedate">\addplot</span> [color=black, dotted, line width=1.5pt]
table[row sep=crcr]{<span class="org-comment">%</span>
0.1 0.045<span class="org-font-latex-warning">\\</span>
0.1 0.045<span class="org-font-latex-warning">\\</span>
2 0.045<span class="org-font-latex-warning">\\</span>
};
<span class="org-font-latex-sedate"><span class="org-keyword">\end</span></span>{<span class="org-function-name">axis</span>}
@@ -873,7 +618,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="orgb9647cd" class="figure">
<div id="org2ba2505" class="figure">
<p><img src="figs/ligo_weights.png" alt="ligo_weights.png" />
</p>
<p><span class="figure-number">Figure 9: </span>Specifications and weighting functions magnitude used for \(\mathcal{H}_\infty\) synthesis (<a href="./figs/ligo_weights.png">png</a>, <a href="./figs/ligo_weights.pdf">pdf</a>, <a href="./figs/ligo_weights.tex">tex</a>).</p>
@@ -881,18 +626,18 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
</div>
<div id="outline-container-orgb6ae2f5" class="outline-2">
<h2 id="orgb6ae2f5"><span class="section-number-2">10</span> Fig 10: Comparison of the FIR filters (solid) with the filters obtained with \(\mathcal{H}_\infty\) synthesis (dashed)</h2>
<div id="outline-container-org74b4762" class="outline-2">
<h2 id="org74b4762"><span class="section-number-2">10</span> Fig 10: Comparison of the FIR filters (solid) with the filters obtained with \(\mathcal{H}_\infty\) synthesis (dashed)</h2>
<div class="outline-text-2" id="text-10">
<div class="org-src-container">
<pre class="src src-latex"><span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fwidth</span></span>{<span class="org-variable-name">6.5cm</span>}
<span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fheight</span></span>{<span class="org-variable-name">7cm</span>}
<span class="org-font-latex-sedate"><span class="org-keyword">\setlength</span></span><span class="org-font-latex-sedate"><span class="org-variable-name">\fheight</span></span>{<span class="org-variable-name">6.8cm</span>}
<span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>}
<span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">axis</span>}[<span class="org-comment">%</span>
width=1.0<span class="org-font-latex-sedate">\fwidth</span>,
height=0.60<span class="org-font-latex-sedate">\fheight</span>,
at={(0.0<span class="org-font-latex-sedate">\fwidth</span>, 0.35<span class="org-font-latex-sedate">\fheight</span>)},
at={(0.0<span class="org-font-latex-sedate">\fwidth</span>, 0.32<span class="org-font-latex-sedate">\fheight</span>)},
scale only axis,
xmode=log,
xmin=0.001,
@@ -912,13 +657,13 @@ Configuration file is accessible <a href="config.html">here</a>.
]
<span class="org-font-latex-sedate">\addplot</span> [color=mycolor1, line width=1.5pt]
table [x=freqs, y=Hhm, col sep=comma] {/home/thomas/Cloud/thesis/papers/dehaeze19_desig_compl_filte/matlab/matcomp_ligo_hinf.csv};
<span class="org-font-latex-sedate">\addlegendentry</span>{<span class="org-font-latex-math">$H_H(s)$</span> - <span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\mathcal</span></span><span class="org-font-latex-math">{H}_\infty$</span>}
<span class="org-font-latex-sedate">\addlegendentry</span>{<span class="org-font-latex-math">$H_H(s)$</span> - <span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\mathcal</span></span><span class="org-font-latex-math">{H}_</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\infty</span></span><span class="org-font-latex-math">$</span>}
<span class="org-font-latex-sedate">\addplot</span> [color=mycolor1, dashed, line width=1.5pt]
table [x=freqs, y=Hhm, col sep=comma] {/home/thomas/Cloud/thesis/papers/dehaeze19_desig_compl_filte/matlab/matcomp_ligo_fir.csv};
<span class="org-font-latex-sedate">\addlegendentry</span>{<span class="org-font-latex-math">$H_H(s)$</span> - FIR}
<span class="org-font-latex-sedate">\addplot</span> [color=mycolor2, line width=1.5pt]
table [x=freqs, y=Hlm, col sep=comma] {/home/thomas/Cloud/thesis/papers/dehaeze19_desig_compl_filte/matlab/matcomp_ligo_hinf.csv};
<span class="org-font-latex-sedate">\addlegendentry</span>{<span class="org-font-latex-math">$H_L(s)$</span> - <span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\mathcal</span></span><span class="org-font-latex-math">{H}_\infty$</span>}
<span class="org-font-latex-sedate">\addlegendentry</span>{<span class="org-font-latex-math">$H_L(s)$</span> - <span class="org-font-latex-math">$</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\mathcal</span></span><span class="org-font-latex-math">{H}_</span><span class="org-font-latex-sedate"><span class="org-font-latex-math">\infty</span></span><span class="org-font-latex-math">$</span>}
<span class="org-font-latex-sedate">\addplot</span> [color=mycolor2, dashed, line width=1.5pt]
table [x=freqs, y=Hlm, col sep=comma] {/home/thomas/Cloud/thesis/papers/dehaeze19_desig_compl_filte/matlab/matcomp_ligo_fir.csv};
<span class="org-font-latex-sedate">\addlegendentry</span>{<span class="org-font-latex-math">$H_L(s)$</span> - FIR}
@@ -955,7 +700,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="orgc99b299" class="figure">
<div id="org6bce6a7" class="figure">
<p><img src="figs/comp_fir_ligo_hinf.png" alt="comp_fir_ligo_hinf.png" />
</p>
<p><span class="figure-number">Figure 10: </span>Comparison of the FIR filters (solid) with the filters obtained with \(\mathcal{H}_\infty\) synthesis (dashed) (<a href="./figs/comp_fir_ligo_hinf.png">png</a>, <a href="./figs/comp_fir_ligo_hinf.pdf">pdf</a>, <a href="./figs/comp_fir_ligo_hinf.tex">tex</a>).</p>
@@ -965,8 +710,7 @@ Configuration file is accessible <a href="config.html">here</a>.
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-09-26 jeu. 17:46</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2020-11-12 jeu. 10:44</p>
</div>
</body>
</html>

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