Delete few tikz figures, rename folders
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../inkscape
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matlab/figs-paper
Symbolic link
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../paper/figs
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../tikz/figs
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@ -58,7 +58,7 @@ The system consists of one 2 degree of freedom translation stage on top of a spi
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#+name: fig:system
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#+caption: Schematic of the studied system
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[[file:figs-tikz/system.png]]
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[[file:figs-paper/system.png]]
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The control inputs are the forces applied by the actuators of the translation stage ($F_u$ and $F_v$).
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As the translation stage is rotating around the Z axis due to the spindle, the forces are applied along $\vec{i}_u$ and $\vec{i}_v$.
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@ -203,7 +203,7 @@ It is shown in Figure [[fig:campbell_diagram]], and one can see that the system
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#+end_src
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/campbell_diagram.pdf', 'width', 'full', 'height', 'normal', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/campbell_diagram.pdf', 'width', 'full', 'height', 'normal', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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** Simscape Model
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@ -394,7 +394,7 @@ They are compared in Figure [[fig:plant_compare_rotating_speed]].
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[[file:figs/plant_compare_rotating_speed.png]]
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/plant_compare_rotating_speed.pdf', 'width', 'full', 'height', 'full', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/plant_compare_rotating_speed.pdf', 'width', 'full', 'height', 'full', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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* Problem with pure Integral Force Feedback
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@ -425,7 +425,7 @@ They are compared in Figure [[fig:plant_compare_rotating_speed]].
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#+name: fig:system_iff
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#+caption: Figure caption
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[[file:figs-tikz/system_iff.pdf]]
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[[file:figs-paper/system_iff.pdf]]
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** Plant Parameters
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Let's define initial values for the model.
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@ -642,7 +642,7 @@ The obtained transfer functions are shown in Figure [[fig:plant_iff_compare_rota
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[[file:figs/plant_iff_compare_rotating_speed.png]]
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/plant_iff_compare_rotating_speed.pdf', 'width', 'full', 'height', 'full', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/plant_iff_compare_rotating_speed.pdf', 'width', 'full', 'height', 'full', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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** Decentralized Integral Force Feedback
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@ -723,7 +723,7 @@ It is shown that for non-null rotating speed, one pole is bound to the right-hal
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#+end_src
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/root_locus_pure_iff.pdf', 'width', 'wide', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/root_locus_pure_iff.pdf', 'width', 'wide', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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* Integral Force Feedback with an High Pass Filter
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@ -839,7 +839,7 @@ The obtained Loop Gain is shown in Figure [[fig:loop_gain_modified_iff]].
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[[file:figs/loop_gain_modified_iff.png]]
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/loop_gain_modified_iff.pdf', 'width', 'full', 'height', 'full', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/loop_gain_modified_iff.pdf', 'width', 'full', 'height', 'full', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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** Root Locus
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@ -980,7 +980,7 @@ As shown in the Root Locus plot (Figure [[fig:root_locus_modified_iff]]), for so
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#+end_src
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/root_locus_modified_iff.pdf', 'width', 'full', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/root_locus_modified_iff.pdf', 'width', 'full', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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** What is the optimal $\omega_i$ and $g$?
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@ -1101,7 +1101,7 @@ In order to visualize the effect of $\omega_i$ on the attainable damping, the Ro
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#+end_src
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/root_locus_wi_modified_iff.pdf', 'width', 'full', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/root_locus_wi_modified_iff.pdf', 'width', 'full', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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For the controller
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@ -1171,7 +1171,7 @@ To find the optimum, the gain that maximize the simultaneous damping of the mode
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[[file:figs/mod_iff_damping_wi.png]]
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/mod_iff_damping_wi.pdf', 'width', 'wide', 'height', 'normal', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/mod_iff_damping_wi.pdf', 'width', 'wide', 'height', 'normal', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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* IFF with a stiffness in parallel with the force sensor
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@ -1199,7 +1199,7 @@ To find the optimum, the gain that maximize the simultaneous damping of the mode
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#+name: fig:system_parallel_springs
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#+caption: Figure caption
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[[file:figs-tikz/system_parallel_springs.png]]
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[[file:figs-paper/system_parallel_springs.png]]
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** Equations
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#+begin_important
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@ -1471,7 +1471,7 @@ One can see that for $k_p > m \Omega^2$, the systems shows alternating complex c
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[[file:figs/plant_iff_kp.png]]
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/plant_iff_kp.pdf', 'width', 'full', 'height', 'full', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/plant_iff_kp.pdf', 'width', 'full', 'height', 'full', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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** IFF when adding a spring in parallel
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@ -1680,7 +1680,7 @@ Thus, decentralized IFF controller with pure integrators can be used if:
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#+end_src
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/root_locus_iff_kp.pdf', 'width', 'full', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/root_locus_iff_kp.pdf', 'width', 'full', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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** Effect of $k_p$ on the attainable damping
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@ -1783,7 +1783,7 @@ It is shown that large values of $k_p$ decreases the attainable damping.
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#+end_src
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/root_locus_iff_kps.pdf', 'width', 'wide', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/root_locus_iff_kps.pdf', 'width', 'wide', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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#+begin_src matlab
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@ -1940,7 +1940,7 @@ Let's take $k_p = 5 m \Omega^2$ and find the optimal IFF control gain $g$ such t
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#+end_src
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/root_locus_opt_gain_iff_kp.pdf', 'width', 'wide', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/root_locus_opt_gain_iff_kp.pdf', 'width', 'wide', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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* Comparison
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@ -2104,7 +2104,7 @@ IFF With parallel Stiffness
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#+end_src
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/comp_root_locus.pdf', 'width', 'wide', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/comp_root_locus.pdf', 'width', 'wide', 'height', 'tall', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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** Controllers - Optimal Gains
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@ -2278,7 +2278,7 @@ Critical Damping corresponds to to $\xi = 1$, and thus:
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[[file:figs/comp_transmissibility.png]]
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/comp_transmissibility.pdf', 'width', 'half', 'height', 'normal', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/comp_transmissibility.pdf', 'width', 'half', 'height', 'normal', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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*** Compliance :ignore:
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@ -2312,7 +2312,7 @@ Critical Damping corresponds to to $\xi = 1$, and thus:
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[[file:figs/comp_compliance.png]]
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/comp_compliance.pdf', 'width', 'half', 'height', 'normal', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/comp_compliance.pdf', 'width', 'half', 'height', 'normal', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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** DC Compliance
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@ -2568,7 +2568,7 @@ exportFig('figs/opt_damp_vs_dc_comp.pdf', 'width', 'wide', 'height', 'normal');
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[[file:figs/mod_iff_damping_kp.png]]
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#+begin_src matlab :tangle no :exports none :results none
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exportFig('figs-inkscape/mod_iff_damping_kp.pdf', 'width', 'half', 'height', '650', 'png', false, 'pdf', false, 'svg', true);
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exportFig('figs-paper/mod_iff_damping_kp.pdf', 'width', 'half', 'height', '650', 'png', false, 'pdf', false, 'svg', true);
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#+end_src
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* Notations
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163
tikz/index.org
@ -89,20 +89,6 @@ Configuration file is accessible [[file:config.org][here]].
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[[file:figs/system.png]]
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* X-Y Rotating Positioning Platform
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#+begin_src latex :file control_diagram_iff.pdf
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\begin{tikzpicture}
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% Blocs
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\node[block={2.0cm}{2.0cm}] (P) {$\bm{G}_{f}$};
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\node[above] at (P.north) {Plant};
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\node[block={1.5cm}{1.5cm}, below=1.2 of P] (K) {$\begin{bmatrix}K_F & 0 \\ 0 & K_F\end{bmatrix}$};
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\node[above, align=center] at (K.north) {Decentralized\\Controller};
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% Connections and labels
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\draw[<-] (P.west) node[above left]{ $\begin{bmatrix}F_u \\ F_v\end{bmatrix}$} node[below left]{$-$} -- ++(-1.2, 0) |- (K.west);
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\draw[->] (P.east) node[above right]{$\begin{bmatrix}f_u \\ f_v\end{bmatrix}$} -- ++(1.2, 0) |- (K.east);
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\end{tikzpicture}
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#+end_src
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#+begin_src latex :file control_diagram_iff.pdf
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\tikzset{block/.default={0.8cm}{0.8cm}}
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\tikzset{addb/.append style={scale=0.7}}
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@ -140,73 +126,6 @@ Configuration file is accessible [[file:config.org][here]].
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#+RESULTS:
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[[file:figs/control_diagram_iff.png]]
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* X-Y Rotating Positioning Platform with Force Sensors
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#+begin_src latex :file system_force_sensors.pdf
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\begin{tikzpicture}
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% Angle
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\def\thetau{25}
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% Rotational Stage
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\draw[fill=black!60!white] (0, 0) circle (4.3);
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\draw[fill=black!40!white] (0, 0) circle (3.8);
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% Label
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\node[anchor=north west, rotate=\thetau] at (-2.5, 2.5) {\small Rotating Stage};
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% Rotating Scope
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\begin{scope}[rotate=\thetau]
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% Rotating Frame
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\draw[fill=black!20!white] (-2.6, -2.6) rectangle (2.6, 2.6);
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% Label
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\node[anchor=north west, rotate=\thetau] at (-2.6, 2.6) {\small X-Y Stage};
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% Mass
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\draw[fill=white] (-1, -1) rectangle (1, 1);
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% Label
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\node[anchor=south west, rotate=\thetau] at (-1, -1) {\small Payload};
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% Attached Points
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\node[] at (-1, 0){$\bullet$};
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\draw[] (-1, 0) -- ++(-0.2, 0) coordinate(au);
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\node[] at (0, -1){$\bullet$};
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\draw[] (0, -1) -- ++(0, -0.2) coordinate(av);
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% Force Sensors
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\draw[fill=white] ($(au) + (-0.2, -0.5)$) rectangle ($(au) + (0, 0.5)$);
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\draw[] ($(au) + (-0.2, -0.5)$)coordinate(actu) -- ($(au) + (0, 0.5)$);
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\draw[] ($(au) + (-0.2, 0.5)$)coordinate(ku) node[above=0.1, rotate=\thetau]{$f_{u}$} -- ($(au) + (0, -0.5)$);
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\draw[fill=white] ($(av) + (-0.5, -0.2)$) rectangle ($(av) + (0.5, 0)$);
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\draw[] ($(av) + ( 0.5, -0.2)$)coordinate(actv) -- ($(av) + (-0.5, 0)$);
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\draw[] ($(av) + (-0.5, -0.2)$)coordinate(kv) node[left=0.1, rotate=\thetau]{$f_{v}$} -- ($(av) + ( 0.5, 0)$);
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% Spring and Actuator for U
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\draw[actuator={0.6}{0.2}] (actu) -- node[above=0.1, rotate=\thetau]{$F_u$} (actu-|-2.6,0);
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\draw[spring=0.2] (ku) -- node[above=0.1, rotate=\thetau]{$k$} (ku-|-2.6,0);
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\draw[actuator={0.6}{0.2}] (actv) -- node[left, rotate=\thetau]{$F_v$} (actv|-0,-2.6);
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\draw[spring=0.2] (kv) -- node[left, rotate=\thetau]{$k$} (kv|-0,-2.6);
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\end{scope}
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% Inertial Frame
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\draw[->] (-4, -4) -- ++(2, 0) node[below]{$\vec{i}_x$};
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\draw[->] (-4, -4) -- ++(0, 2) node[left]{$\vec{i}_y$};
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\draw[fill, color=black] (-4, -4) circle (0.06);
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\node[draw, circle, inner sep=0pt, minimum size=0.3cm, label=left:$\vec{i}_z$] at (-4, -4){};
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\draw[->] (0, 0) -- ++(\thetau:2) node[above, rotate=\thetau]{$\vec{i}_u$};
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\draw[->] (0, 0) -- ++(\thetau+90:2) node[left, rotate=\thetau]{$\vec{i}_v$};
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\draw[dashed] (0, 0) -- ++(2, 0);
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\draw[] (1.5, 0) arc (0:\thetau:1.5) node[midway, right]{$\theta$};
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\node[] at (0,0) {$\bullet$};
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\draw[->] (3.5, 0) arc (0:40:3.5) node[midway, left]{$\Omega$};
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\end{tikzpicture}
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#+end_src
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#+RESULTS:
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[[file:figs/system_force_sensors.png]]
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* Decentralized Integral Force Feedback
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#+begin_src latex :file system_iff.pdf
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\begin{tikzpicture}
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@ -284,88 +203,6 @@ Configuration file is accessible [[file:config.org][here]].
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#+RESULTS:
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||||
[[file:figs/system_iff.png]]
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||||
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||||
* Decentralized Direct Velocity Feedback
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#+begin_src latex :file system_dvf.pdf
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||||
\begin{tikzpicture}
|
||||
% Angle
|
||||
\def\thetau{25}
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||||
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||||
% Rotational Stage
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||||
\draw[fill=black!60!white] (0, 0) circle (4.3);
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||||
\draw[fill=black!40!white] (0, 0) circle (3.8);
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||||
|
||||
% Label
|
||||
\node[anchor=north west, rotate=\thetau] at (-2.5, 2.5) {\small Rotating Stage};
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||||
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||||
% Rotating Scope
|
||||
\begin{scope}[rotate=\thetau]
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||||
% Rotating Frame
|
||||
\draw[fill=black!20!white] (-2.6, -2.6) rectangle (2.6, 2.6);
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||||
% Label
|
||||
\node[anchor=north west, rotate=\thetau] at (-2.6, 2.6) {\small X-Y Stage};
|
||||
|
||||
% Mass
|
||||
\draw[fill=white] (-1, -1) rectangle (1, 1);
|
||||
% Label
|
||||
\node[anchor=south west, rotate=\thetau] at (-1, -1) {\small Payload};
|
||||
|
||||
% Attached Points
|
||||
\node[] at (-1, 0){$\bullet$};
|
||||
\draw[] (-1, 0) -- ++(-0.2, 0) coordinate(au);
|
||||
\node[] at (0, -1){$\bullet$};
|
||||
\draw[] (0, -1) -- ++(0, -0.2) coordinate(av);
|
||||
|
||||
% Attached Points
|
||||
\node[] at (-1, 0){$\bullet$};
|
||||
\draw[] (-1, 0) -- ++(-0.2, 0) coordinate(cu);
|
||||
\draw[] ($(cu) + (0, -0.5)$) coordinate(actu) -- ($(cu) + (0, 0.5)$) coordinate(ku);
|
||||
\node[] at (0, -1){$\bullet$};
|
||||
\draw[] (0, -1) -- ++(0, -0.2) coordinate(cv);
|
||||
\draw[] ($(cv) + (-0.5, 0)$)coordinate(kv) -- ($(cv) + (0.5, 0)$) coordinate(actv);
|
||||
|
||||
% Spring and Actuator for U
|
||||
\draw[actuator={0.6}{0.2}] (actu) -- coordinate[midway](actumid) (actu-|-2.6,0);
|
||||
\draw[spring=0.2] (ku) -- node[above=0.1, rotate=\thetau]{$k$} (ku-|-2.6,0);
|
||||
|
||||
\draw[actuator={0.6}{0.2}] (actv) -- coordinate[midway](actvmid) (actv|-0,-2.6);
|
||||
\draw[spring=0.2] (kv) -- node[left, rotate=\thetau]{$k$} (kv|-0,-2.6);
|
||||
|
||||
% Displacement measurement
|
||||
\draw[<->, dashed] (-2.6, -0.8) -- (-1 , -0.8) coordinate(dutop);
|
||||
\draw[<->, dashed] ( 0.8, -2.6) -- ( 0.8, -1) coordinate(dvtop);
|
||||
|
||||
% Controllers
|
||||
\node[block={0.6cm}{0.6cm}, rotate=\thetau] (Ku) at ($(actumid) + (0, -1.2)$) {$K_{V}$};
|
||||
\draw[->] ($(dutop) + (-0.1, 0)$) node[below left, rotate=\thetau]{$v_u$} |- (Ku.east);
|
||||
\draw[->] (Ku.north) -- ($(actumid) + (0, -0.1)$);
|
||||
|
||||
\node[block={0.6cm}{0.6cm}, rotate=\thetau] (Kv) at ($(actvmid) + (1.2, 0)$) {$K_{V}$};
|
||||
\draw[->] ($(dvtop) + (0, -0.1)$) node[below right, rotate=\thetau]{$v_v$} -| (Kv.north);
|
||||
\draw[->] (Kv.west) -- ($(actvmid) + (0.1, 0)$);
|
||||
|
||||
\node[above=0.1, rotate=\thetau] at (actumid) {$F_u$};
|
||||
\node[left=0.1, rotate=\thetau] at (actvmid) {$F_v$};
|
||||
\end{scope}
|
||||
|
||||
% Inertial Frame
|
||||
\draw[->] (-4, -4) -- ++(2, 0) node[below]{$\vec{i}_x$};
|
||||
\draw[->] (-4, -4) -- ++(0, 2) node[left]{$\vec{i}_y$};
|
||||
\draw[fill, color=black] (-4, -4) circle (0.06);
|
||||
\node[draw, circle, inner sep=0pt, minimum size=0.3cm, label=left:$\vec{i}_z$] at (-4, -4){};
|
||||
|
||||
\draw[->] (0, 0) -- ++(\thetau:2) node[above, rotate=\thetau]{$\vec{i}_u$};
|
||||
\draw[->] (0, 0) -- ++(\thetau+90:2) node[left, rotate=\thetau]{$\vec{i}_v$};
|
||||
\draw[dashed] (0, 0) -- ++(2, 0);
|
||||
\draw[] (1.5, 0) arc (0:\thetau:1.5) node[midway, right]{$\theta$};
|
||||
\node[] at (0,0) {$\bullet$};
|
||||
|
||||
\draw[->] (3.5, 0) arc (0:40:3.5) node[midway, left]{$\Omega$};
|
||||
\end{tikzpicture}
|
||||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:figs/system_dvf.png]]
|
||||
|
||||
* Springs in parallel
|
||||
#+begin_src latex :file system_parallel_springs.pdf
|
||||
\begin{tikzpicture}
|
||||
|