% Created 2020-08-17 lun. 17:56 % Intended LaTeX compiler: pdflatex \documentclass[conference]{IEEEtran} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{graphicx} \usepackage{grffile} \usepackage{longtable} \usepackage{wrapfig} \usepackage{rotating} \usepackage[normalem]{ulem} \usepackage{amsmath} \usepackage{textcomp} \usepackage{amssymb} \usepackage{capt-of} \usepackage{hyperref} \usepackage[most]{tcolorbox} \usepackage{bm} \usepackage{booktabs} \usepackage{tabularx} \usepackage{array} \usepackage{siunitx} \IEEEoverridecommandlockouts \usepackage{cite} \usepackage{amsmath,amssymb,amsfonts} \usepackage{algorithmic} \usepackage{graphicx} \usepackage{textcomp} \usepackage{xcolor} \usepackage{cases} \usepackage{tabularx,siunitx,booktabs} \usepackage{algorithmic} \usepackage{import, hyperref} \renewcommand{\citedash}{--} \def\BibTeX{{\rm B\kern-.05em{\sc i\kern-.025em b}\kern-.08em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}} \author{\IEEEauthorblockN{Dehaeze Thomas} \IEEEauthorblockA{\textit{European Synchrotron Radiation Facility} \\ Grenoble, France\\ \textit{Precision Mechatronics Laboratory} \\ \textit{University of Liege}, Belgium \\ thomas.dehaeze@esrf.fr }\and \IEEEauthorblockN{Collette Christophe} \IEEEauthorblockA{\textit{BEAMS Department}\\ \textit{Free University of Brussels}, Belgium\\ \textit{Precision Mechatronics Laboratory} \\ \textit{University of Liege}, Belgium \\ ccollett@ulb.ac.be }} \date{2020-08-17} \title{Robust and Optimal Sensor Fusion} \begin{document} \maketitle \begin{abstract} Abstract text to be done \end{abstract} \begin{IEEEkeywords} Complementary Filters, Sensor Fusion, H-Infinity Synthesis \end{IEEEkeywords} \section{Introduction} \label{sec:org1c3c846} \label{sec:introduction} \section{Optimal Super Sensor Noise: \(\mathcal{H}_2\) Synthesis} \label{sec:org92b3e9e} \label{sec:optimal_fusion} \subsection{Sensor Fusion Architecture} \label{sec:org3678a87} \begin{figure}[htbp] \centering \includegraphics[scale=1]{figs/sensor_fusion_noise_arch.pdf} \caption{\label{fig:sensor_fusion_noise_arch}Figure caption} \end{figure} \subsection{Super Sensor Noise} \label{sec:orgdea8e6d} \subsection{\(\mathcal{H}_2\) Synthesis of Complementary Filters} \label{sec:org22b990a} \begin{figure}[htbp] \centering \includegraphics[scale=1]{figs/h_two_optimal_fusion.pdf} \caption{\label{fig:h_two_optimal_fusion}Figure caption} \end{figure} \subsection{Example} \label{sec:orge0d6784} \subsection{Robustness Problem} \label{sec:orgce865b5} \section{Robust Sensor Fusion: \(\mathcal{H}_\infty\) Synthesis} \label{sec:org67d4941} \label{sec:robust_fusion} \subsection{Representation of Sensor Dynamical Uncertainty} \label{sec:orgc542dcc} \begin{figure}[htbp] \centering \includegraphics[scale=1]{figs/sensor_fusion_arch_uncertainty.pdf} \caption{\label{fig:sensor_fusion_arch_uncertainty}Figure caption} \end{figure} \subsection{Super Sensor Dynamical Uncertainty} \label{sec:org394776d} \begin{figure}[htbp] \centering \includegraphics[scale=1]{figs/uncertainty_set_super_sensor.pdf} \caption{\label{fig:uncertainty_set_super_sensor}Figure caption} \end{figure} \subsection{\(\mathcal{H_\infty}\) Synthesis of Complementary Filters} \label{sec:org1b01372} \begin{figure}[htbp] \centering \includegraphics[scale=1]{figs/h_infinity_robust_fusion.pdf} \caption{\label{fig:h_infinity_robust_fusion}Figure caption} \end{figure} \subsection{Example} \label{sec:orgaa648f2} \section{Optimal and Robust Sensor Fusion: Mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) Synthesis} \label{sec:orgf084670} \label{sec:optimal_robust_fusion} \subsection{Sensor Fusion Architecture} \label{sec:org3c9692b} \begin{figure}[htbp] \centering \includegraphics[scale=1]{figs/sensor_fusion_arch_full.pdf} \caption{\label{fig:sensor_fusion_arch_full}Figure caption} \end{figure} \subsection{Synthesis Objective} \label{sec:orgae68b29} \subsection{Mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) Synthesis} \label{sec:org92a0c83} \begin{figure}[htbp] \centering \includegraphics[scale=1]{figs/mixed_h2_hinf_synthesis.pdf} \caption{\label{fig:mixed_h2_hinf_synthesis}Figure caption} \end{figure} \subsection{Example} \label{sec:org9ab5cae} \section{Experimental Validation} \label{sec:org6e8847d} \label{sec:experimental_validation} \subsection{Experimental Setup} \label{sec:orgc64e6fd} \subsection{Sensor Noise and Dynamical Uncertainty} \label{sec:orge0cb611} \subsection{Mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) Synthesis} \label{sec:org952072f} \subsection{Super Sensor Noise and Dynamical Uncertainty} \label{sec:org777e3ba} \section{Conclusion} \label{sec:orgaeb27bf} \label{sec:conclusion} \section{Acknowledgment} \label{sec:orgae04552} \bibliography{ref} \end{document}