388 lines
19 KiB
Org Mode
388 lines
19 KiB
Org Mode
#+TITLE: Optimal and Robust Complementary Filters for Sensor Fusion - Tikz Figures
|
|
:DRAWER:
|
|
#+HTML_LINK_HOME: ../index.html
|
|
#+HTML_LINK_UP: ../index.html
|
|
|
|
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
|
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
|
#+HTML_HEAD: <script src="../js/jquery.min.js"></script>
|
|
#+HTML_HEAD: <script src="../js/bootstrap.min.js"></script>
|
|
#+HTML_HEAD: <script src="../js/jquery.stickytableheaders.min.js"></script>
|
|
#+HTML_HEAD: <script src="../js/readtheorg.js"></script>
|
|
#+PROPERTY: header-args:latex :headers '("\\usepackage{tikz}" "\\usepackage{import}" "\\import{/home/thomas/MEGA/These/Papers/dehaeze19_desig_compl_filte/tikz/}{config.tex}")
|
|
#+PROPERTY: header-args:latex+ :imagemagick t :fit yes
|
|
#+PROPERTY: header-args:latex+ :iminoptions -scale 100% -density 150
|
|
#+PROPERTY: header-args:latex+ :imoutoptions -quality 100
|
|
#+PROPERTY: header-args:latex+ :results raw replace :buffer no
|
|
#+PROPERTY: header-args:latex+ :eval no-export
|
|
#+PROPERTY: header-args:latex+ :exports both
|
|
#+PROPERTY: header-args:latex+ :mkdirp yes
|
|
#+PROPERTY: header-args:latex+ :noweb yes
|
|
#+PROPERTY: header-args:latex+ :output-dir figs
|
|
#+PROPERTY: header-args:latex+ :post pdf2svg(file=*this*, ext="png")
|
|
:END:
|
|
|
|
Configuration file is accessible [[file:config.org][here]].
|
|
|
|
* Change some default
|
|
#+NAME: tikz_default
|
|
#+begin_src latex :eval no
|
|
\tikzset{block/.default={0.8cm}{0.6cm}}
|
|
\tikzset{addb/.append style={scale=0.7}}
|
|
\tikzset{node distance=0.6}
|
|
\def\cdist{0.7}
|
|
|
|
\definecolor{T}{rgb}{0.230, 0.299, 0.754}%
|
|
\definecolor{S}{rgb}{0.706, 0.016, 0.150}%
|
|
#+end_src
|
|
|
|
* H-Infinity - Complementary filters - Generalized plant
|
|
#+begin_src latex :file sf_hinf_filters_plant_b.pdf :tangle figs/sf_hinf_filters_plant_b.tex
|
|
<<tikz_default>>
|
|
\begin{tikzpicture}
|
|
\node[block={4.0cm}{3.0cm}, dashed] (P) {};
|
|
\node[above] at (P.north) {$P$};
|
|
|
|
\coordinate[] (inputw) at ($(P.south west)!0.8!(P.north west) + (-\cdist, 0)$);
|
|
\coordinate[] (inputu) at ($(P.south west)!0.4!(P.north west) + (-\cdist, 0)$);
|
|
|
|
\coordinate[] (outputh) at ($(P.south east)!0.8!(P.north east) + ( \cdist, 0)$);
|
|
\coordinate[] (outputl) at ($(P.south east)!0.4!(P.north east) + ( \cdist, 0)$);
|
|
\coordinate[] (outputv) at ($(P.south east)!0.1!(P.north east) + ( \cdist, 0)$);
|
|
|
|
\node[block, left=2*\cdist of outputl] (WL){$w_L$};
|
|
\node[block, left=2*\cdist of outputh] (WH){$w_H$};
|
|
\node[addb={+}{}{}{}{-}, left=of WH] (sub) {};
|
|
|
|
\draw[->] (inputw) node[above right]{$w$} -- (sub.west);
|
|
\draw[->] (inputu) node[above right]{$u$} -- (WL.west);
|
|
\draw[->] (inputu-|sub) node[branch]{} -- (sub.south);
|
|
\draw[->] (sub.east) -- (WH.west);
|
|
\draw[->] ($(inputw)+(2*\cdist, 0)$) node[branch]{} |- (outputv) node[above left]{$v$};
|
|
\draw[->] (WH.east) -- (outputh)node[above left]{$z_H$};
|
|
\draw[->] (WL.east) -- (outputl)node[above left]{$z_L$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:sf_hinf_filters_plant_b
|
|
#+caption: H-Infinity - Complementary filters - Generalized plant ([[./figs/sf_hinf_filters_plant_b.png][png]], [[./figs/sf_hinf_filters_plant_b.pdf][pdf]], [[./figs/sf_hinf_filters_plant_b.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/sf_hinf_filters_plant_b.png]]
|
|
|
|
* H-Infinity - Complementary filters
|
|
#+begin_src latex :file sf_hinf_filters_b.pdf :tangle figs/sf_hinf_filters_b.tex
|
|
<<tikz_default>>
|
|
\begin{tikzpicture}
|
|
\node[block={4.0cm}{3.0cm}, dashed] (P) {};
|
|
\node[above] at (P.north) {$P$};
|
|
|
|
\coordinate[] (inputw) at ($(P.south west)!0.8!(P.north west) + (-\cdist, 0)$);
|
|
\coordinate[] (inputu) at ($(P.south west)!0.4!(P.north west) + (-\cdist, 0)$);
|
|
|
|
\coordinate[] (outputh) at ($(P.south east)!0.8!(P.north east) + ( \cdist, 0)$);
|
|
\coordinate[] (outputl) at ($(P.south east)!0.4!(P.north east) + ( \cdist, 0)$);
|
|
\coordinate[] (outputv) at ($(P.south east)!0.1!(P.north east) + ( \cdist, 0)$);
|
|
|
|
\node[block, left=2*\cdist of outputl] (WL){$w_L$};
|
|
\node[block, left=2*\cdist of outputh] (WH){$w_H$};
|
|
\node[addb={+}{}{}{}{-}, left=of WH] (sub) {};
|
|
|
|
\node[block, below=\cdist of P] (HL) {$H_L$};
|
|
|
|
\draw[->] (inputw) node[above right]{$w$} -- (sub.west);
|
|
\draw[->] (HL.west) -| ($(inputu)+(0.5*\cdist, 0)$) -- (WL.west);
|
|
\draw[->] (inputu-|sub) node[branch]{} -- (sub.south);
|
|
\draw[->] (sub.east) -- (WH.west);
|
|
\draw[->] ($(inputw)+(2*\cdist, 0)$) node[branch]{} |- ($(outputv)+(-0.5*\cdist, 0)$) |- (HL.east);
|
|
\draw[->] (WH.east) -- (outputh)node[above left]{$z_H$};
|
|
\draw[->] (WL.east) -- (outputl)node[above left]{$z_L$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:sf_hinf_filters_b
|
|
#+caption: H-Infinity - Complementary filters ([[./figs/sf_hinf_filters_b.png][png]], [[./figs/sf_hinf_filters_b.pdf][pdf]], [[./figs/sf_hinf_filters_b.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/sf_hinf_filters_b.png]]
|
|
|
|
* H-Infinity - Optimal Complementary Filters
|
|
The Tikz figure can be downloaded in the following formats: [[./figs/h_infinity_optimal_comp_filters.png][png]], [[./figs/h_infinity_optimal_comp_filters.pdf][pdf]] and [[./figs/h_infinity_optimal_comp_filters.tex][tex]].
|
|
|
|
#+begin_src latex :file h_infinity_optimal_comp_filters.pdf :tangle figs/h_infinity_optimal_comp_filters.tex
|
|
<<tikz_default>>
|
|
\begin{tikzpicture}
|
|
\node[block={5.0cm}{3.0cm}, dashed] (P) {};
|
|
\node[above] at (P.north) {$P$};
|
|
|
|
\coordinate[] (inputn1) at ($(P.south west)!0.8!(P.north west) + (-\cdist, 0)$);
|
|
\coordinate[] (inputn2) at ($(P.south west)!0.5!(P.north west) + (-\cdist, 0)$);
|
|
\coordinate[] (inputu) at ($(P.south west)!0.2!(P.north west) + (-\cdist, 0)$);
|
|
|
|
\coordinate[] (outputx) at ($(P.south east)!0.5!(P.north east) + ( \cdist, 0)$);
|
|
\coordinate[] (outputv) at ($(P.south east)!0.1!(P.north east) + ( \cdist, 0)$);
|
|
|
|
\node[block, right=1.5 of inputn1] (W1){$W_1$};
|
|
\node[block, right=1.5 of inputn2] (W2){$W_2$};
|
|
\node[addb={+}{}{}{}{-}, right=of W1] (sub) {};
|
|
\node[addb, right=2 of W2] (add) {};
|
|
|
|
\node[block, below=of P] (H1) {$H_1$};
|
|
|
|
\draw[->] (inputn1)node[above right]{$n_1$} -- (W1.west);
|
|
\draw[->] (inputn2)node[above right]{$n_2$} -- (W2.west);
|
|
\draw[->] (W1) -- (sub.west);
|
|
\draw[->] (W2) -| (sub.south);
|
|
\draw[->] (W2-|sub.south) node[branch]{} -- (add.west);
|
|
\draw[->] (sub.east) -- ++(0.5, 0) |- ($(outputv) + (-0.3, 0)$) |- (H1.east);
|
|
\draw[->] (H1.west) -| ($(inputu) + (0.3, 0)$) -| (add.south);
|
|
\draw[->] (add.east) -- (outputx) node[above left]{$\hat{x}$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:h_infinity_optimal_comp_filters
|
|
#+caption: H-Infinity - Optimal Complementary Filters ([[./figs/h_infinity_optimal_comp_filters.png][png]], [[./figs/h_infinity_optimal_comp_filters.pdf][pdf]], [[./figs/h_infinity_optimal_comp_filters.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/h_infinity_optimal_comp_filters.png]]
|
|
* Fusion of two noisy sensors
|
|
The Tikz figure can be downloaded in the following formats: [[./figs/fusion_two_noisy_sensors.png][png]], [[./figs/fusion_two_noisy_sensors.pdf][pdf]] and [[./figs/fusion_two_noisy_sensors.tex][tex]].
|
|
|
|
#+begin_src latex :file fusion_two_noisy_sensors.pdf :tangle figs/fusion_two_noisy_sensors.tex
|
|
\begin{tikzpicture}
|
|
\node[branch] (x) at (0, 0);
|
|
\node[addb, above right=1.5 and 1 of x](add1){};
|
|
\node[addb, below right=1.5 and 1 of x](add2){};
|
|
\node[block, above=0.5 of add1](W1){$W_1$};
|
|
\node[block, above=0.5 of add2](W2){$W_2$};
|
|
\node[block, right=1 of add1](H1){$H_1$};
|
|
\node[block, right=1 of add2](H2){$H_2$};
|
|
\node[addb, right=4 of x](add){};
|
|
|
|
\draw[] ($(x)+(-1, 0)$) node[above right]{$x$} -- (x);
|
|
\draw[->] (x) |- (add1.west);
|
|
\draw[->] (x) |- (add2.west);
|
|
\draw[->] (W1.south) -- (add1.north);
|
|
\draw[->] (W2.south) -- (add2.north);
|
|
\draw[<-] (W1.north) -- ++(0, 0.8)node[below right]{$n_1$};
|
|
\draw[<-] (W2.north) -- ++(0, 0.8)node[below right]{$n_2$};
|
|
\draw[->] (add1.east) -- (H1.west);
|
|
\draw[->] (add2.east) -- (H2.west);
|
|
\draw[->] (H1) -| (add.north);
|
|
\draw[->] (H2) -| (add.south);
|
|
\draw[->] (add.east) -- ++(1, 0) node[above left]{$\hat{x}$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:fusion_two_noisy_sensors
|
|
#+caption: Fusion of two noisy sensors ([[./figs/fusion_two_noisy_sensors.png][png]], [[./figs/fusion_two_noisy_sensors.pdf][pdf]], [[./figs/fusion_two_noisy_sensors.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/fusion_two_noisy_sensors.png]]
|
|
* Fusion of two noisy signals
|
|
The Tikz figure can be downloaded in the following formats: [[./figs/fusion_two_signals.png][png]], [[./figs/fusion_two_signals.pdf][pdf]] and [[./figs/fusion_two_signals.tex][tex]].
|
|
|
|
#+begin_src latex :file fusion_two_signals.pdf :tangle figs/fusion_two_signals.tex
|
|
\begin{tikzpicture}
|
|
\node[addb] (add) at (0, 0){};
|
|
\node[block, above left=0.5 and 0.8 of add] (H1) {$H_1$};
|
|
\node[block, below left=0.5 and 0.8 of add] (H2) {$H_2$};
|
|
|
|
\draw[->] ($(H1.west)+(-1.5, 0)$)node[above right]{$x + n_1$} -- (H1.west);
|
|
\draw[->] ($(H2.west)+(-1.5, 0)$)node[above right]{$x + n_2$} -- (H2.west);
|
|
\draw[->] (H1) -| (add.north);
|
|
\draw[->] (H2) -| (add.south);
|
|
\draw[->] (add.east) -- ++(1, 0) node[above left]{$\hat{x}$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:fusion_two_signals
|
|
#+caption: Fusion of two noisy sensors ([[./figs/fusion_two_signals.png][png]], [[./figs/fusion_two_signals.pdf][pdf]], [[./figs/fusion_two_signals.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/fusion_two_signals.png]]
|
|
|
|
* Fusion of two noisy sensors with Dynamics
|
|
The Tikz figure can be downloaded in the following formats: [[./figs/fusion_two_noisy_sensors_with_dyn.png][png]], [[./figs/fusion_two_noisy_sensors_with_dyn.pdf][pdf]] and [[./figs/fusion_two_noisy_sensors_with_dyn.tex][tex]].
|
|
|
|
#+begin_src latex :file fusion_two_noisy_sensors_with_dyn.pdf :tangle figs/fusion_two_noisy_sensors_with_dyn.tex
|
|
\begin{tikzpicture}
|
|
\node[branch] (x) at (0, 0);
|
|
\node[block, above right=1.5 and 0.5 of x](G1){$G_1$};
|
|
\node[block, below right=1.5 and 0.5 of x](G2){$G_2$};
|
|
\node[addb, right=1 of G1](add1){};
|
|
\node[addb, right=1 of G2](add2){};
|
|
\node[block, above=0.5 of add1](W1){$W_1$};
|
|
\node[block, above=0.5 of add2](W2){$W_2$};
|
|
\node[block, right=1 of add1](H1){$H_1$};
|
|
\node[block, right=1 of add2](H2){$H_2$};
|
|
\node[addb, right=6 of x](add){};
|
|
|
|
\draw[] ($(x)+(-1, 0)$) node[above right]{$x$} -- (x);
|
|
\draw[->] (x) |- (G1.west);
|
|
\draw[->] (x) |- (G2.west);
|
|
\draw[->] (G1.east) -- (add1.west);
|
|
\draw[->] (G2.east) -- (add2.west);
|
|
\draw[->] (W1.south) -- (add1.north);
|
|
\draw[->] (W2.south) -- (add2.north);
|
|
\draw[<-] (W1.north) -- ++(0, 0.8)node[below right]{$n_1$};
|
|
\draw[<-] (W2.north) -- ++(0, 0.8)node[below right]{$n_2$};
|
|
\draw[->] (add1.east) -- (H1.west);
|
|
\draw[->] (add2.east) -- (H2.west);
|
|
\draw[->] (H1) -| (add.north);
|
|
\draw[->] (H2) -| (add.south);
|
|
\draw[->] (add.east) -- ++(1, 0) node[above left]{$\hat{x}$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:fusion_two_noisy_sensors_with_dyn
|
|
#+caption: Fusion of two noisy sensors_with_dyn ([[./figs/fusion_two_noisy_sensors_with_dyn.png][png]], [[./figs/fusion_two_noisy_sensors_with_dyn.pdf][pdf]], [[./figs/fusion_two_noisy_sensors_with_dyn.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/fusion_two_noisy_sensors_with_dyn.png]]
|
|
* Fusion of two noisy sensors with Dynamics - Bis
|
|
The Tikz figure can be downloaded in the following formats: [[./figs/fusion_two_noisy_sensors_with_dyn_bis.png][png]], [[./figs/fusion_two_noisy_sensors_with_dyn_bis.pdf][pdf]] and [[./figs/fusion_two_noisy_sensors_with_dyn_bis.tex][tex]].
|
|
|
|
#+begin_src latex :file fusion_two_noisy_sensors_with_dyn_bis.pdf :tangle figs/fusion_two_noisy_sensors_with_dyn_bis.tex
|
|
\begin{tikzpicture}
|
|
\node[branch] (x) at (0, 0);
|
|
\node[block, above right=0.5 and 0.5 of x](G1){$G_1$};
|
|
\node[block, below right=0.5 and 0.5 of x](G2){$G_2$};
|
|
\node[addb, right=1 of G1](add1){};
|
|
\node[addb, right=1 of G2](add2){};
|
|
\node[block, right=1 of add1](H1){$H_1$};
|
|
\node[block, right=1 of add2](H2){$H_2$};
|
|
\node[addb, right=6 of x](add){};
|
|
|
|
\draw[] ($(x)+(-1, 0)$) node[above right]{$x$} -- (x);
|
|
\draw[->] (x) |- (G1.west);
|
|
\draw[->] (x) |- (G2.west);
|
|
\draw[->] (G1.east) -- (add1.west);
|
|
\draw[->] (G2.east) -- (add2.west);
|
|
\draw[<-] (add1.north) -- ++(0, 0.8)node[below right]{$n_1$};
|
|
\draw[<-] (add2.north) -- ++(0, 0.8)node[below right]{$n_2$};
|
|
\draw[->] (add1.east) -- (H1.west);
|
|
\draw[->] (add2.east) -- (H2.west);
|
|
\draw[->] (H1) -| (add.north);
|
|
\draw[->] (H2) -| (add.south);
|
|
\draw[->] (add.east) -- ++(1, 0) node[above left]{$\hat{x}$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:fusion_two_noisy_sensors_with_dyn_bis
|
|
#+caption: Fusion of two noisy sensors_with_dyn_bis ([[./figs/fusion_two_noisy_sensors_with_dyn_bis.png][png]], [[./figs/fusion_two_noisy_sensors_with_dyn_bis.pdf][pdf]], [[./figs/fusion_two_noisy_sensors_with_dyn_bis.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/fusion_two_noisy_sensors_with_dyn_bis.png]]
|
|
|
|
* Fusion of two sensors with mismatch dynamics
|
|
The Tikz figure can be downloaded in the following formats: [[./figs/fusion_two_signals_with_dyn.png][png]], [[./figs/fusion_two_signals_with_dyn.pdf][pdf]] and [[./figs/fusion_two_signals_with_dyn.tex][tex]].
|
|
|
|
#+begin_src latex :file fusion_gain_mismatch.pdf :tangle figs/fusion_gain_mismatch.tex
|
|
<<tikz_default>>
|
|
\begin{tikzpicture}
|
|
\node[branch] (x) at (0, 0);
|
|
\node[addb, above right=1 and 3.5 of x](add1){};
|
|
\node[addb, below right=1 and 3.5 of x](add2){};
|
|
\node[block, above left= of add1](delta1){$\Delta_1$};
|
|
\node[block, above left= of add2](delta2){$\Delta_2$};
|
|
\node[block, left= of delta1](W1){$W_1$};
|
|
\node[block, left= of delta2](W2){$W_2$};
|
|
\node[block, right= of add1](H1){$H_1$};
|
|
\node[block, right= of add2](H2){$H_2$};
|
|
\node[addb, right=5.5 of x](add){};
|
|
|
|
\draw[] ($(x)+(-1, 0)$) node[above right]{$x$} -- (x);
|
|
\draw[->] (x) |- (add1.west);
|
|
\draw[->] (x) |- (add2.west);
|
|
\draw[->] ($(add1-|W1.west)+(-0.5, 0)$)node[branch]{} |- (W1.west);
|
|
\draw[->] ($(add2-|W2.west)+(-0.5, 0)$)node[branch]{} |- (W2.west);
|
|
\draw[->] (W1.east) -- (delta1.west);
|
|
\draw[->] (W2.east) -- (delta2.west);
|
|
\draw[->] (delta1.east) -| (add1.north);
|
|
\draw[->] (delta2.east) -| (add2.north);
|
|
\draw[->] (add1.east) -- (H1.west);
|
|
\draw[->] (add2.east) -- (H2.west);
|
|
\draw[->] (H1.east) -| (add.north);
|
|
\draw[->] (H2.east) -| (add.south);
|
|
\draw[->] (add.east) -- ++(1, 0) node[above left]{$\hat{x}$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:fusion_gain_mismatch
|
|
#+caption: Fusion of two noisy sensors_with_dyn ([[./figs/fusion_gain_mismatch.png][png]], [[./figs/fusion_gain_mismatch.pdf][pdf]], [[./figs/fusion_gain_mismatch.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/fusion_gain_mismatch.png]]
|
|
|
|
* Uncertainty to Phase and Gain variation
|
|
The Tikz figure can be downloaded in the following formats: [[./figs/uncertainty_gain_phase_variation.png][png]], [[./figs/uncertainty_gain_phase_variation.pdf][pdf]] and [[./figs/uncertainty_gain_phase_variation.tex][tex]].
|
|
|
|
#+begin_src latex :file uncertainty_gain_phase_variation.pdf :tangle figs/uncertainty_gain_phase_variation.tex :exports both
|
|
\begin{tikzpicture}
|
|
\draw[->] (-0.5, 0) -- (7, 0) node[below left]{Real};
|
|
\draw[->] (0, -1) -- (0, 1) node[left]{Im};
|
|
\node[branch] (1) at (5, 0){};
|
|
\node[below] at (1){$1$};
|
|
\node[circle, draw] (c) at (1)[minimum size=2cm]{};
|
|
\draw[dashed] (0, 0) -- (tangent cs:node=c,point={(0, 0)},solution=2) -- node[midway, right]{$|H_i W_i|$} (1);
|
|
\draw[dashed] (2, 0) arc (0:23:1) node[midway, right]{$\Delta \phi$};
|
|
% \draw[dashed] (0, 0) -- (tangent cs:node=c,point={(0, 0)},solution=1) coordinate(cbot);
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:uncertainty_gain_phase_variation
|
|
#+caption: Uncertainty to Phase and Gain variation ([[./figs/uncertainty_gain_phase_variation.png][png]], [[./figs/uncertainty_gain_phase_variation.pdf][pdf]], [[./figs/uncertainty_gain_phase_variation.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/uncertainty_gain_phase_variation.png]]
|
|
|
|
* Generate Complementary Filters using Feedback Control Architecture
|
|
#+begin_src latex :file complementary_filters_feedback_architecture.pdf :tangle figs/complementary_filters_feedback_architecture.tex :exports both
|
|
\begin{tikzpicture}
|
|
\node[addb={+}{}{}{}{-}] (addfb) at (0, 0){};
|
|
\node[block, right=1 of addfb] (L){$L$};
|
|
\node[addb={+}{}{}{}{}, right=1 of L] (adddy){};
|
|
|
|
\draw[<-] (addfb.west) -- ++(-1, 0) node[above right]{$y_1$};
|
|
\draw[->] (addfb.east) -- (L.west);
|
|
\draw[->] (L.east) -- (adddy.west);
|
|
\draw[->] (adddy.east) -- ++(1, 0) node[above left]{$y_s$};
|
|
\draw[->] ($(adddy.east) + (0.5, 0)$) node[branch]{} -- ++(0, -1) -| (addfb.south);
|
|
\draw[<-] (adddy.north) -- ++(0, 1) node[below right]{$y_2$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:complementary_filters_feedback_architecture
|
|
#+caption: Generation of Complementary Filters using the feedback architecture ([[./figs/complementary_filters_feedback_architecture.png][png]], [[./figs/complementary_filters_feedback_architecture.pdf][pdf]], [[./figs/complementary_filters_feedback_architecture.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/complementary_filters_feedback_architecture.png]]
|
|
|
|
* H-Infinity Synthesis for Robust Sensor Fusion
|
|
The Tikz figure can be downloaded in the following formats: [[./figs/h_infinity_robust_fusion.png][png]], [[./figs/h_infinity_robust_fusion.pdf][pdf]] and [[./figs/h_infinity_robust_fusion.tex][tex]].
|
|
|
|
#+begin_src latex :file h_infinity_robust_fusion.pdf :tangle figs/h_infinity_robust_fusion.tex :exports both
|
|
<<tikz_default>>
|
|
\begin{tikzpicture}
|
|
\node[block={4.0cm}{3.0cm}, dashed] (P) {};
|
|
\node[above] at (P.north) {$P$};
|
|
|
|
\coordinate[] (inputw) at ($(P.south west)!0.8!(P.north west) + (-\cdist, 0)$);
|
|
\coordinate[] (inputu) at ($(P.south west)!0.4!(P.north west) + (-\cdist, 0)$);
|
|
|
|
\coordinate[] (outputh) at ($(P.south east)!0.8!(P.north east) + ( \cdist, 0)$);
|
|
\coordinate[] (outputl) at ($(P.south east)!0.4!(P.north east) + ( \cdist, 0)$);
|
|
\coordinate[] (outputv) at ($(P.south east)!0.1!(P.north east) + ( \cdist, 0)$);
|
|
|
|
\node[block, left=2*\cdist of outputl] (W1){$w_1$};
|
|
\node[block, left=2*\cdist of outputh] (W2){$w_2$};
|
|
\node[addb={+}{}{}{}{-}, left=of W2] (sub) {};
|
|
|
|
\node[block, below=\cdist of P] (H1) {$H_1$};
|
|
|
|
\draw[->] (inputw) node[above right]{$w$} -- (sub.west);
|
|
\draw[->] (H1.west) -| ($(inputu)+(0.5*\cdist, 0)$) -- (W1.west);
|
|
\draw[->] (inputu-|sub) node[branch]{} -- (sub.south);
|
|
\draw[->] (sub.east) -- (W2.west);
|
|
\draw[->] ($(inputw)+(2*\cdist, 0)$) node[branch]{} |- ($(outputv)+(-0.5*\cdist, 0)$) |- (H1.east);
|
|
\draw[->] (W2.east) -- (outputh)node[above left]{$z_2$};
|
|
\draw[->] (W1.east) -- (outputl)node[above left]{$z_1$};
|
|
\end{tikzpicture}
|
|
#+end_src
|
|
|
|
#+name: fig:h_infinity_robust_fusion
|
|
#+caption: H-Infinity Synthesis for Robust Sensor Fusion ([[./figs/h_infinity_robust_fusion.png][png]], [[./figs/h_infinity_robust_fusion.pdf][pdf]], [[./figs/h_infinity_robust_fusion.tex][tex]]).
|
|
#+RESULTS:
|
|
[[file:figs/h_infinity_robust_fusion.png]]
|