2019-08-21 16:35:08 +02:00
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#+TITLE: Robust and Optimal Sensor Fusion
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2019-08-14 12:08:30 +02:00
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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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#+OPTIONS: toc:nil
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#+STARTUP: overview
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#+DATE: {{{time(%Y-%m-%d)}}}
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#+AUTHOR: @@latex:\IEEEauthorblockN{Dehaeze Thomas\IEEEauthorrefmark{*} and Collette Christophe} \\@@
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#+AUTHOR: @@latex:\IEEEauthorblockA{Precision Mechatronics Laboratory, ULB\\ Brussels, Belgium\\ Email: \IEEEauthorrefmark{*}dehaeze.thomas@gmail.com}@@
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#+LATEX_HEADER: \usepackage{amsmath,amssymb,amsfonts, cases}
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#+LATEX_HEADER: \usepackage{algorithmic, graphicx, textcomp}
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#+LATEX_HEADER: \usepackage{xcolor, import, hyperref}
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#+LATEX_HEADER: \usepackage[USenglish]{babel}
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#+LATEX_HEADER: \setcounter{footnote}{1}
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#+LATEX_HEADER: \input{config.tex}
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\bibliographystyle{IEEEtran}
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:END:
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* LaTeX Config :noexport:
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#+begin_src latex :tangle config.tex
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% H Infini
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\newcommand{\hinf}{\mathcal{H}_\infty}
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% H 2
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\newcommand{\htwo}{\mathcal{H}_2}
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% Omega
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\newcommand{\w}{\omega}
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% H-Infinity Norm
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\newcommand{\hnorm}[1]{\left\|#1\right\|_{\infty}}
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% H-2 Norm
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\newcommand{\normtwo}[1]{\left\|#1\right\|_{2}}
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% Norm
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\newcommand{\norm}[1]{\left\|#1\right\|}
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% Absolute value
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\newcommand{\abs}[1]{\left\lvert #1 \right\lvert}
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% Minimum Subscript
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\newcommand{\smin}{_{\text{min}}}
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% Maximum Subscript
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\newcommand{\smax}{_{\text{max}}}
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\newcommand*\colvec[1]{\begin{bmatrix}#1\end{bmatrix}}
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#+end_src
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* Build :noexport:
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2019-08-21 16:35:08 +02:00
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#+NAME: startblock
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2019-08-14 12:08:30 +02:00
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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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"\\documentclass{ieeeconf}"
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("\\section{%s}" . "\\section*{%s}")
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("\\subsection{%s}" . "\\subsection*{%s}")
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("\\subsubsection{%s}" . "\\subsubsection*{%s}")
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("\\paragraph{%s}" . "\\paragraph*{%s}")
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("\\subparagraph{%s}" . "\\subparagraph*{%s}"))
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)
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#+END_SRC
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* Abstract :ignore:
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#+begin_abstract
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Abstract text to be done
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#+end_abstract
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#+begin_IEEEkeywords
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complementary filters, h-infinity, feedback control
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#+end_IEEEkeywords
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* Introduction
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2020-08-17 15:58:25 +02:00
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<<sec:introduction>>
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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* Optimal Super Sensor Noise: $\mathcal{H}_2$ Synthesis
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<<sec:optimal_fusion>>
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Sensor Fusion Architecture
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Super Sensor Noise
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** $\mathcal{H}_2$ Synthesis of Complementary Filters
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Example
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Robustness Problem
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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* Robust Sensor Fusion: $\mathcal{H}_\infty$ Synthesis
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<<sec:robust_fusion>>
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Representation of Sensor Dynamical Uncertainty
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Super Sensor Dynamical Uncertainty
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** $\mathcal{H_\infty}$ Synthesis of Complementary Filters
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Example
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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* Optimal and Robust Sensor Fusion: Mixed $\mathcal{H}_2/\mathcal{H}_\infty$ Synthesis
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<<sec:optimal_robust_fusion>>
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Sensor Fusion Architecture
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Synthesis Objective
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Mixed $\mathcal{H}_2/\mathcal{H}_\infty$ Synthesis
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Example
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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* Experimental Validation
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<<sec:experimental_validation>>
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Experimental Setup
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Sensor Noise and Dynamical Uncertainty
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Mixed $\mathcal{H}_2/\mathcal{H}_\infty$ Synthesis
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2019-08-14 12:08:30 +02:00
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2020-08-17 15:58:25 +02:00
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** Super Sensor Noise and Dynamical Uncertainty
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2019-08-14 12:08:30 +02:00
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* Conclusion
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2020-08-17 15:58:25 +02:00
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<<sec:conclusion>>
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2019-08-14 12:08:30 +02:00
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* Acknowledgment
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* Bibliography :ignore:
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\bibliography{ref}
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