84 lines
3.9 KiB
Org Mode
84 lines
3.9 KiB
Org Mode
#+TITLE: A new method of designing complementary filters for sensor fusion using the $\mathcal{H}_\infty$ synthesis
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:DRAWER:
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#+SUBTITLE: Dehaeze Thomas, Verma Mohit and Collette Christophe
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#+OPTIONS: toc:nil
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#+OPTIONS: html-postamble:nil
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#+HTML_LINK_HOME: ../index.html
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#+HTML_LINK_UP: ../index.html
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#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="https://research.tdehaeze.xyz/css/style.css"/>
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#+HTML_HEAD: <script type="text/javascript" src="https://research.tdehaeze.xyz/js/script.js"></script>
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:END:
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#+begin_quote
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*Abstract*:
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In order to obtain a better estimate of a quantity being measured, several sensors having different characteristics can be merged with a technique called "sensor fusion".
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The obtained "super sensor" can combine the benefits of the individual sensors provided that the complementary filters used in the fusion are well designed.
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Indeed, properties of the super sensor are linked to the magnitude of the complementary filters.
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Properly shaping the magnitude of complementary filters is a difficult and time-consuming task.
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In this study, we address this issue and propose a new method for designing complementary filters.
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This method uses weighting functions to specify the wanted shape of the complementary filter that are then easily obtained using the standard $\mathcal{H}_\infty$ synthesis.
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The proper choice of the weighting functions is discussed, and the effectiveness and simplicity of the design method is highlighted using several examples.
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Such synthesis method is further extended for the shaping of more than two complementary filters.
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#+end_quote
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* Journal Article ([[file:journal/dehaeze21_desig_compl_filte.pdf][link]])
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:PROPERTIES:
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:UNNUMBERED: t
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:END:
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The paper has been created [[https://orgmode.org/][Org Mode]] (generating [[https://www.latex-project.org/][LaTeX]] code) under [[https://www.gnu.org/software/emacs/][Emacs]].
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To cite this paper use the following BibTeX code.
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#+begin_src bibtex
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@article{dehaeze21_new_method_desig_compl_filter,
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author = {Dehaeze, Thomas and Vermat, Mohit and Collette, Christophe},
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title = {A New Method of Designing Complementary Filters for Sensor
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Fusion Using the $\mathcal{H}_\infty$ Synthesis},
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journal = {Mechanical Systems and Signal Processing},
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year = 2021,
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month = {Nov},
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}
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#+end_src
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You can also use the formatted citation below.
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#+begin_quote
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Dehaeze, T., Vermat, M., & Collette, C., A new method of designing complementary filters for sensor fusion using the $H_\infty$ synthesis, Mechanical Systems and Signal Processing, (2021).
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#+end_quote
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* Matlab Scripts ([[file:matlab/dehaeze21_desig_compl_filte_matlab.org][link]])
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:PROPERTIES:
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:UNNUMBERED: t
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:END:
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All the [[https://fr.mathworks.com/][Matlab]] code that was used for the paper are accessible so that all the results are reproducible.
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The source code is hosted on [[https://zenodo.org/record/5361920][Zenodo]].
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If you use this code and want to refer to it in a publication, you can use the following BibTeX reference:
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#+begin_src bibtex
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@misc{dehaeze21_new_method_desig_compl_filter_code,
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author = {Dehaeze, Thomas},
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doi = {10.5281/zenodo.5361943},
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howpublished = {Source code on Zenodo},
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month = sep,
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title = {{A New Method of Designing Complementary Filters for Sensor
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Fusion Using the $\mathcal{H}_\infty$ Synthesis}},
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year = 2021,
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}
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#+end_src
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You can also use the formatted citation below.
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#+begin_quote
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Dehaeze Thomas. (2021). A New Method of Designing Complementary Filters for Sensor Fusion Using the H-Infinity Synthesis. Source code on Zenodo. 10.5281/zenodo.5361943
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#+end_quote
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* Tikz Figures ([[file:tikz/dehaeze21_desig_compl_filte_tikz.org][link]])
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:PROPERTIES:
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:UNNUMBERED: t
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:END:
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All the figures for the paper have been generated using [[https://sourceforge.net/projects/pgf/][TikZ]].
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