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#+TITLE: Optimal and Robust Complementary Filters for Sensor Fusion
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#+TITLE: Robust and Optimal Sensor Fusion
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:DRAWER:
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#+LATEX_CLASS: ieeeconf
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#+LATEX_CLASS_OPTIONS: [9pt, technote, a4paper]
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#+end_src
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* Build :noexport:
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#+NAME: startblock
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#+BEGIN_SRC emacs-lisp :results none
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(add-to-list 'org-latex-classes
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'("ieeeconf"
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BIN
paper/paper.pdf
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% Created 2019-08-12 lun. 16:02
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% Created 2019-08-21 mer. 13:19
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% Intended LaTeX compiler: pdflatex
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\documentclass[9pt, technote, a4paper]{ieeeconf}
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\usepackage[utf8]{inputenc}
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@ -23,11 +23,11 @@
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\setcounter{footnote}{1}
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\input{config.tex}
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\author{\IEEEauthorblockN{Dehaeze Thomas\IEEEauthorrefmark{*} and Collette Christophe} \\ \IEEEauthorblockA{Precision Mechatronics Laboratory, ULB\\ Brussels, Belgium\\ Email: \IEEEauthorrefmark{*}dehaeze.thomas@gmail.com}}
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\date{2019-08-12}
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\title{On the Design of Complementary Filters for Control}
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\date{2019-08-21}
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\title{Optimal and Robust Sensor Fusion using Complementary Filters}
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\hypersetup{
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pdfauthor={\IEEEauthorblockN{Dehaeze Thomas\IEEEauthorrefmark{*} and Collette Christophe} \\ \IEEEauthorblockA{Precision Mechatronics Laboratory, ULB\\ Brussels, Belgium\\ Email: \IEEEauthorrefmark{*}dehaeze.thomas@gmail.com}},
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pdftitle={On the Design of Complementary Filters for Control},
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pdftitle={Optimal and Robust Sensor Fusion using Complementary Filters},
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pdfkeywords={},
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pdfsubject={},
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pdfcreator={Emacs 26.2 (Org mode 9.2.5)},
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@ -46,7 +46,7 @@ complementary filters, h-infinity, feedback control
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\end{IEEEkeywords}
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\section{Introduction}
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\label{sec:orgb15ebed}
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\label{sec:org77eabad}
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\label{sec:introduction}
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The basic idea of a complementary filter involves taking two or more sensors, filtering out unreliable frequencies for each sensor and combining the filtered outputs to get a better estimate throughout the entire bandwidth of the system.
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To achieve this, the sensors included in the filter should complement one another by performing better over specific parts of the system bandwidth.
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@ -97,7 +97,7 @@ In this paper, we propose
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The body of the paper consists of five parts followed by a conclusion.
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\section{H-Infinity synthesis of complementary filters}
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\label{sec:org303afb5}
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\label{sec:org5f39b25}
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\label{sec:hinf_filters}
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First order complementary filters are easy to synthesize. For instance, one can use the following filters
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\begin{equation}
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@ -113,7 +113,7 @@ As shown in Sec. \ref{sec:trans_perf}, most of the performance requirements can
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Thus, the \(\mathcal{H}_\infty\) framework seems adapted and we here propose a technique to synthesis complementary filters while specifying uppers bounds on their magnitudes.
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\subsection{\(\hinf\) problem formulation}
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\label{sec:org9dcb2b1}
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\label{sec:org9a24692}
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\label{sec:hinf_conf}
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In this section, we formulate the \(\hinf\) problem for the synthesis of complementary filters.
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@ -168,7 +168,7 @@ The stability condition \eqref{eq:hinf_cond_stability} is guaranteed by the \(H_
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Using this synthesis method, we are then able to shape at the same time the high pass and low pass filters while ensuring their complementary.
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\subsection{Control requirements as \(\mathcal{H}_\infty\) norm of complementary filters}
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\label{sec:orgb7d25ea}
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\label{sec:org48e11e8}
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As presented in Sec. \ref{sec:trans_perf}, almost all the requirements can be specified with upper bounds on the complementary filters.
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However, robust performance condition \eqref{eq:robust_perf_a} is not.
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@ -181,7 +181,7 @@ With the \(\mathcal{H}_\infty\) synthesis the condition \eqref{eq:hinf_problem}
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And thus we have almost robust stability.
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\subsection{Choice of the weighting functions}
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\label{sec:org2d7aa5b}
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\label{sec:orgb8575b8}
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\label{sec:hinf_weighting_func}
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We here give some advice on the choice of the weighting functions used for the synthesis of the complementary filters.
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@ -194,10 +194,10 @@ One should not forget the fundamental limitations of feedback control such that
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Similarly, we here have that \(H_L + H_H = 1\) which implies that \(H_L\) and \(H_H\) cannot be made small at the same time.
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\subsection{Trade-off between performance and robustness}
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\label{sec:org7af3efe}
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\label{sec:orgc90eaf9}
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\subsection{Analytical formula of complementary filters}
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\label{sec:org477b4a4}
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\label{sec:org52d63ba}
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\label{sec:analytical_complementary_filters}
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To simplify the synthesis, one can use already synthesized filters
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@ -217,13 +217,13 @@ To simplify the synthesis, one can use already synthesized filters
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\end{align}
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\section{Discussion}
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\label{sec:org4fb9d01}
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\label{sec:orgb80d2a2}
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\section{Conclusion}
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\label{sec:orgecd9d50}
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\label{sec:orgdccbd69}
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\label{sec:conclusion}
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\section{Acknowledgment}
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\label{sec:org5cf5157}
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\label{sec:org8f4226e}
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\bibliography{ref}
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\end{document}
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tikz/index.html
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<head>
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<!-- 2019-08-14 mer. 12:08 -->
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<!-- 2019-08-21 mer. 16:35 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<title>Optimal and Robust Complementary Filters for Sensor Fusion - Tikz Figures</title>
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<title>Robust and Optimal Sensor Fusion - Tikz Figures</title>
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<meta name="generator" content="Org mode" />
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<meta name="author" content="Thomas Dehaeze" />
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<style type="text/css">
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@ -252,23 +252,23 @@ for the JavaScript code in this tag.
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|
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<a accesskey="H" href="../index.html"> HOME </a>
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</div><div id="content">
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<h1 class="title">Optimal and Robust Complementary Filters for Sensor Fusion - Tikz Figures</h1>
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<h1 class="title">Robust and Optimal Sensor Fusion - Tikz Figures</h1>
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<div id="table-of-contents">
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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<li><a href="#org815a564">1. Change some default</a></li>
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<li><a href="#org4640d64">2. H-Infinity - Complementary filters - Generalized plant</a></li>
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<li><a href="#org0b11ce2">3. H-Infinity - Complementary filters</a></li>
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||||
<li><a href="#org958e1e2">4. H-Infinity - Optimal Complementary Filters</a></li>
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<li><a href="#org25d9a1b">5. Fusion of two noisy sensors</a></li>
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<li><a href="#orga9ed288">6. Fusion of two noisy signals</a></li>
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<li><a href="#org22dfd5b">7. Fusion of two noisy sensors with Dynamics</a></li>
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<li><a href="#org855fa9e">8. Fusion of two noisy sensors with Dynamics - Bis</a></li>
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<li><a href="#org11ffe09">9. Fusion of two sensors with mismatch dynamics</a></li>
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<li><a href="#org7af9faf">10. Uncertainty to Phase and Gain variation</a></li>
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<li><a href="#orge5f551d">11. Generate Complementary Filters using Feedback Control Architecture</a></li>
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<li><a href="#org9ce2a6b">12. H-Infinity Synthesis for Robust Sensor Fusion</a></li>
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<li><a href="#org548cc39">1. Change some default</a></li>
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<li><a href="#org42c49b0">2. H-Infinity - Complementary filters - Generalized plant</a></li>
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<li><a href="#org9a9ee34">3. H-Infinity - Complementary filters</a></li>
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<li><a href="#orgaa13075">4. H-Infinity - Optimal Complementary Filters</a></li>
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<li><a href="#orgc92348b">5. Fusion of two noisy sensors</a></li>
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<li><a href="#org5acbf15">6. Fusion of two noisy signals</a></li>
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<li><a href="#org9bf0ed7">7. Fusion of two noisy sensors with Dynamics</a></li>
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<li><a href="#org6515349">8. Fusion of two noisy sensors with Dynamics - Bis</a></li>
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<li><a href="#org066adab">9. Fusion of two sensors with mismatch dynamics</a></li>
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<li><a href="#orga46cc8b">10. Uncertainty to Phase and Gain variation</a></li>
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<li><a href="#org1f59e20">11. Generate Complementary Filters using Feedback Control Architecture</a></li>
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<li><a href="#org509611f">12. H-Infinity Synthesis for Robust Sensor Fusion</a></li>
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</ul>
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</div>
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</div>
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@ -277,11 +277,11 @@ for the JavaScript code in this tag.
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Configuration file is accessible <a href="config.html">here</a>.
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</p>
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<div id="outline-container-org815a564" class="outline-2">
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<h2 id="org815a564"><span class="section-number-2">1</span> Change some default</h2>
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<div id="outline-container-org548cc39" class="outline-2">
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<h2 id="org548cc39"><span class="section-number-2">1</span> Change some default</h2>
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<div class="outline-text-2" id="text-1">
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<div class="org-src-container">
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<pre class="src src-latex" id="org862c935"><span class="org-font-latex-sedate">\tikzset</span>{block/.default={0.8cm}{0.6cm}}
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<pre class="src src-latex" id="org7f5b9e0"><span class="org-font-latex-sedate">\tikzset</span>{block/.default={0.8cm}{0.6cm}}
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<span class="org-font-latex-sedate">\tikzset</span>{addb/.append style={scale=0.7}}
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<span class="org-font-latex-sedate">\tikzset</span>{node distance=0.6}
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<span class="org-font-latex-sedate">\def\cdist</span>{0.7}
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@ -293,8 +293,8 @@ Configuration file is accessible <a href="config.html">here</a>.
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||||
</div>
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</div>
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||||
<div id="outline-container-org4640d64" class="outline-2">
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<h2 id="org4640d64"><span class="section-number-2">2</span> H-Infinity - Complementary filters - Generalized plant</h2>
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||||
<div id="outline-container-org42c49b0" class="outline-2">
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||||
<h2 id="org42c49b0"><span class="section-number-2">2</span> H-Infinity - Complementary filters - Generalized plant</h2>
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<div class="outline-text-2" id="text-2">
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<div class="org-src-container">
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<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{block/.default={0.8cm}{0.6cm}}
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@ -331,7 +331,7 @@ Configuration file is accessible <a href="config.html">here</a>.
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</div>
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<div id="orgc12e3d2" class="figure">
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<div id="org2d1e475" class="figure">
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<p><img src="figs/sf_hinf_filters_plant_b.png" alt="sf_hinf_filters_plant_b.png" />
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</p>
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<p><span class="figure-number">Figure 1: </span>H-Infinity - Complementary filters - Generalized plant (<a href="./figs/sf_hinf_filters_plant_b.png">png</a>, <a href="./figs/sf_hinf_filters_plant_b.pdf">pdf</a>, <a href="./figs/sf_hinf_filters_plant_b.tex">tex</a>).</p>
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@ -339,8 +339,8 @@ Configuration file is accessible <a href="config.html">here</a>.
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</div>
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</div>
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<div id="outline-container-org0b11ce2" class="outline-2">
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<h2 id="org0b11ce2"><span class="section-number-2">3</span> H-Infinity - Complementary filters</h2>
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<div id="outline-container-org9a9ee34" class="outline-2">
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<h2 id="org9a9ee34"><span class="section-number-2">3</span> H-Infinity - Complementary filters</h2>
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<div class="outline-text-2" id="text-3">
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<div class="org-src-container">
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<pre class="src src-latex"><span class="org-font-latex-sedate">\tikzset</span>{block/.default={0.8cm}{0.6cm}}
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@ -379,7 +379,7 @@ Configuration file is accessible <a href="config.html">here</a>.
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</div>
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<div id="orgd11c746" class="figure">
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<div id="org612d916" class="figure">
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<p><img src="figs/sf_hinf_filters_b.png" alt="sf_hinf_filters_b.png" />
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</p>
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<p><span class="figure-number">Figure 2: </span>H-Infinity - Complementary filters (<a href="./figs/sf_hinf_filters_b.png">png</a>, <a href="./figs/sf_hinf_filters_b.pdf">pdf</a>, <a href="./figs/sf_hinf_filters_b.tex">tex</a>).</p>
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@ -387,8 +387,8 @@ Configuration file is accessible <a href="config.html">here</a>.
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</div>
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</div>
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<div id="outline-container-org958e1e2" class="outline-2">
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<h2 id="org958e1e2"><span class="section-number-2">4</span> H-Infinity - Optimal Complementary Filters</h2>
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<div id="outline-container-orgaa13075" class="outline-2">
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<h2 id="orgaa13075"><span class="section-number-2">4</span> H-Infinity - Optimal Complementary Filters</h2>
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<div class="outline-text-2" id="text-4">
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<p>
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The Tikz figure can be downloaded in the following formats: <a href="./figs/h_infinity_optimal_comp_filters.png">png</a>, <a href="./figs/h_infinity_optimal_comp_filters.pdf">pdf</a> and <a href="./figs/h_infinity_optimal_comp_filters.tex">tex</a>.
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@ -433,15 +433,15 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/h_in
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</div>
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<div id="orgace7a2f" class="figure">
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<div id="org7d4df18" class="figure">
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<p><img src="figs/h_infinity_optimal_comp_filters.png" alt="h_infinity_optimal_comp_filters.png" />
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</p>
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<p><span class="figure-number">Figure 3: </span>H-Infinity - Optimal Complementary Filters (<a href="./figs/h_infinity_optimal_comp_filters.png">png</a>, <a href="./figs/h_infinity_optimal_comp_filters.pdf">pdf</a>, <a href="./figs/h_infinity_optimal_comp_filters.tex">tex</a>).</p>
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</div>
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</div>
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</div>
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<div id="outline-container-org25d9a1b" class="outline-2">
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<h2 id="org25d9a1b"><span class="section-number-2">5</span> Fusion of two noisy sensors</h2>
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<div id="outline-container-orgc92348b" class="outline-2">
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<h2 id="orgc92348b"><span class="section-number-2">5</span> Fusion of two noisy sensors</h2>
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<div class="outline-text-2" id="text-5">
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<p>
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The Tikz figure can be downloaded in the following formats: <a href="./figs/fusion_two_noisy_sensors.png">png</a>, <a href="./figs/fusion_two_noisy_sensors.pdf">pdf</a> and <a href="./figs/fusion_two_noisy_sensors.tex">tex</a>.
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@ -475,15 +475,15 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/fusi
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</div>
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<div id="org8abe259" class="figure">
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<div id="org7fef4e9" class="figure">
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<p><img src="figs/fusion_two_noisy_sensors.png" alt="fusion_two_noisy_sensors.png" />
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</p>
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<p><span class="figure-number">Figure 4: </span>Fusion of two noisy sensors (<a href="./figs/fusion_two_noisy_sensors.png">png</a>, <a href="./figs/fusion_two_noisy_sensors.pdf">pdf</a>, <a href="./figs/fusion_two_noisy_sensors.tex">tex</a>).</p>
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</div>
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</div>
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</div>
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<div id="outline-container-orga9ed288" class="outline-2">
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<h2 id="orga9ed288"><span class="section-number-2">6</span> Fusion of two noisy signals</h2>
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<div id="outline-container-org5acbf15" class="outline-2">
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<h2 id="org5acbf15"><span class="section-number-2">6</span> Fusion of two noisy signals</h2>
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<div class="outline-text-2" id="text-6">
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<p>
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The Tikz figure can be downloaded in the following formats: <a href="./figs/fusion_two_signals.png">png</a>, <a href="./figs/fusion_two_signals.pdf">pdf</a> and <a href="./figs/fusion_two_signals.tex">tex</a>.
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@ -505,7 +505,7 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/fusi
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</div>
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<div id="orgfca7098" class="figure">
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<div id="org319ff6e" class="figure">
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<p><img src="figs/fusion_two_signals.png" alt="fusion_two_signals.png" />
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</p>
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<p><span class="figure-number">Figure 5: </span>Fusion of two noisy sensors (<a href="./figs/fusion_two_signals.png">png</a>, <a href="./figs/fusion_two_signals.pdf">pdf</a>, <a href="./figs/fusion_two_signals.tex">tex</a>).</p>
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@ -513,8 +513,8 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/fusi
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</div>
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</div>
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<div id="outline-container-org22dfd5b" class="outline-2">
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<h2 id="org22dfd5b"><span class="section-number-2">7</span> Fusion of two noisy sensors with Dynamics</h2>
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<div id="outline-container-org9bf0ed7" class="outline-2">
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<h2 id="org9bf0ed7"><span class="section-number-2">7</span> Fusion of two noisy sensors with Dynamics</h2>
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<div class="outline-text-2" id="text-7">
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<p>
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The Tikz figure can be downloaded in the following formats: <a href="./figs/fusion_two_noisy_sensors_with_dyn.png">png</a>, <a href="./figs/fusion_two_noisy_sensors_with_dyn.pdf">pdf</a> and <a href="./figs/fusion_two_noisy_sensors_with_dyn.tex">tex</a>.
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@ -552,15 +552,15 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/fusi
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</div>
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<div id="orgbba4705" class="figure">
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<div id="orgf0c8eb7" class="figure">
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<p><img src="figs/fusion_two_noisy_sensors_with_dyn.png" alt="fusion_two_noisy_sensors_with_dyn.png" />
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</p>
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<p><span class="figure-number">Figure 6: </span>Fusion of two noisy sensors<sub>with</sub><sub>dyn</sub> (<a href="./figs/fusion_two_noisy_sensors_with_dyn.png">png</a>, <a href="./figs/fusion_two_noisy_sensors_with_dyn.pdf">pdf</a>, <a href="./figs/fusion_two_noisy_sensors_with_dyn.tex">tex</a>).</p>
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</div>
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</div>
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</div>
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<div id="outline-container-org855fa9e" class="outline-2">
|
||||
<h2 id="org855fa9e"><span class="section-number-2">8</span> Fusion of two noisy sensors with Dynamics - Bis</h2>
|
||||
<div id="outline-container-org6515349" class="outline-2">
|
||||
<h2 id="org6515349"><span class="section-number-2">8</span> Fusion of two noisy sensors with Dynamics - Bis</h2>
|
||||
<div class="outline-text-2" id="text-8">
|
||||
<p>
|
||||
The Tikz figure can be downloaded in the following formats: <a href="./figs/fusion_two_noisy_sensors_with_dyn_bis.png">png</a>, <a href="./figs/fusion_two_noisy_sensors_with_dyn_bis.pdf">pdf</a> and <a href="./figs/fusion_two_noisy_sensors_with_dyn_bis.tex">tex</a>.
|
||||
@ -594,7 +594,7 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/fusi
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org041e92e" class="figure">
|
||||
<div id="orgff64b82" class="figure">
|
||||
<p><img src="figs/fusion_two_noisy_sensors_with_dyn_bis.png" alt="fusion_two_noisy_sensors_with_dyn_bis.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Fusion of two noisy sensors<sub>with</sub><sub>dyn</sub><sub>bis</sub> (<a href="./figs/fusion_two_noisy_sensors_with_dyn_bis.png">png</a>, <a href="./figs/fusion_two_noisy_sensors_with_dyn_bis.pdf">pdf</a>, <a href="./figs/fusion_two_noisy_sensors_with_dyn_bis.tex">tex</a>).</p>
|
||||
@ -602,8 +602,8 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/fusi
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org11ffe09" class="outline-2">
|
||||
<h2 id="org11ffe09"><span class="section-number-2">9</span> Fusion of two sensors with mismatch dynamics</h2>
|
||||
<div id="outline-container-org066adab" class="outline-2">
|
||||
<h2 id="org066adab"><span class="section-number-2">9</span> Fusion of two sensors with mismatch dynamics</h2>
|
||||
<div class="outline-text-2" id="text-9">
|
||||
<p>
|
||||
The Tikz figure can be downloaded in the following formats: <a href="./figs/fusion_two_signals_with_dyn.png">png</a>, <a href="./figs/fusion_two_signals_with_dyn.pdf">pdf</a> and <a href="./figs/fusion_two_signals_with_dyn.tex">tex</a>.
|
||||
@ -648,7 +648,7 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/fusi
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgc18d1e5" class="figure">
|
||||
<div id="org3b33068" class="figure">
|
||||
<p><img src="figs/fusion_gain_mismatch.png" alt="fusion_gain_mismatch.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Fusion of two noisy sensors<sub>with</sub><sub>dyn</sub> (<a href="./figs/fusion_gain_mismatch.png">png</a>, <a href="./figs/fusion_gain_mismatch.pdf">pdf</a>, <a href="./figs/fusion_gain_mismatch.tex">tex</a>).</p>
|
||||
@ -656,8 +656,8 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/fusi
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org7af9faf" class="outline-2">
|
||||
<h2 id="org7af9faf"><span class="section-number-2">10</span> Uncertainty to Phase and Gain variation</h2>
|
||||
<div id="outline-container-orga46cc8b" class="outline-2">
|
||||
<h2 id="orga46cc8b"><span class="section-number-2">10</span> Uncertainty to Phase and Gain variation</h2>
|
||||
<div class="outline-text-2" id="text-10">
|
||||
<p>
|
||||
The Tikz figure can be downloaded in the following formats: <a href="./figs/uncertainty_gain_phase_variation.png">png</a>, <a href="./figs/uncertainty_gain_phase_variation.pdf">pdf</a> and <a href="./figs/uncertainty_gain_phase_variation.tex">tex</a>.
|
||||
@ -678,7 +678,7 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/unce
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org1495cee" class="figure">
|
||||
<div id="org4d7c276" class="figure">
|
||||
<p><img src="figs/uncertainty_gain_phase_variation.png" alt="uncertainty_gain_phase_variation.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 9: </span>Uncertainty to Phase and Gain variation (<a href="./figs/uncertainty_gain_phase_variation.png">png</a>, <a href="./figs/uncertainty_gain_phase_variation.pdf">pdf</a>, <a href="./figs/uncertainty_gain_phase_variation.tex">tex</a>).</p>
|
||||
@ -686,8 +686,8 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/unce
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orge5f551d" class="outline-2">
|
||||
<h2 id="orge5f551d"><span class="section-number-2">11</span> Generate Complementary Filters using Feedback Control Architecture</h2>
|
||||
<div id="outline-container-org1f59e20" class="outline-2">
|
||||
<h2 id="org1f59e20"><span class="section-number-2">11</span> Generate Complementary Filters using Feedback Control Architecture</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"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>}
|
||||
@ -706,7 +706,7 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/unce
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orge72a5e5" class="figure">
|
||||
<div id="orgb7a8eef" class="figure">
|
||||
<p><img src="figs/complementary_filters_feedback_architecture.png" alt="complementary_filters_feedback_architecture.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 10: </span>Generation of Complementary Filters using the feedback architecture (<a href="./figs/complementary_filters_feedback_architecture.png">png</a>, <a href="./figs/complementary_filters_feedback_architecture.pdf">pdf</a>, <a href="./figs/complementary_filters_feedback_architecture.tex">tex</a>).</p>
|
||||
@ -714,8 +714,8 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/unce
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org9ce2a6b" class="outline-2">
|
||||
<h2 id="org9ce2a6b"><span class="section-number-2">12</span> H-Infinity Synthesis for Robust Sensor Fusion</h2>
|
||||
<div id="outline-container-org509611f" class="outline-2">
|
||||
<h2 id="org509611f"><span class="section-number-2">12</span> H-Infinity Synthesis for Robust Sensor Fusion</h2>
|
||||
<div class="outline-text-2" id="text-12">
|
||||
<p>
|
||||
The Tikz figure can be downloaded in the following formats: <a href="./figs/h_infinity_robust_fusion.png">png</a>, <a href="./figs/h_infinity_robust_fusion.pdf">pdf</a> and <a href="./figs/h_infinity_robust_fusion.tex">tex</a>.
|
||||
@ -758,7 +758,7 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/h_in
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgcd478e3" class="figure">
|
||||
<div id="org0a4ff4a" class="figure">
|
||||
<p><img src="figs/h_infinity_robust_fusion.png" alt="h_infinity_robust_fusion.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 11: </span>H-Infinity Synthesis for Robust Sensor Fusion (<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>
|
||||
@ -768,7 +768,7 @@ The Tikz figure can be downloaded in the following formats: <a href="./figs/h_in
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Thomas Dehaeze</p>
|
||||
<p class="date">Created: 2019-08-14 mer. 12:08</p>
|
||||
<p class="date">Created: 2019-08-21 mer. 16:35</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
|
@ -1,4 +1,4 @@
|
||||
#+TITLE: Optimal and Robust Complementary Filters for Sensor Fusion - Tikz Figures
|
||||
#+TITLE: Robust and Optimal Sensor Fusion - Tikz Figures
|
||||
:DRAWER:
|
||||
#+HTML_LINK_HOME: ../index.html
|
||||
#+HTML_LINK_UP: ../index.html
|
||||
|
Loading…
Reference in New Issue
Block a user