173 lines
4.6 KiB
TeX
173 lines
4.6 KiB
TeX
% 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}
|