Update for Hugo blog
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../paper/figs
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../journal/figs
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#+TITLE: Active Damping of Rotating Platforms using Integral Force Feedback - Matlab Computation
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#+hugo_section: research/dehaeze21_activ_dampin_rotat_platf_using
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#+hugo_bundle: matlab
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#+export_file_name: index
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:DRAWER:
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#+HTML_LINK_HOME: ../index.html
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#+HTML_LINK_UP: ../index.html
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@@ -25,14 +28,8 @@
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#+PROPERTY: header-args:matlab+ :output-dir figs
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:END:
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#+begin_export html
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<hr>
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<p>This report is also available as a <a href="./index.pdf">pdf</a>.</p>
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<hr>
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#+end_export
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* Introduction :ignore:
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This document gathers the Matlab code used to for the conference paper cite:dehaeze20_activ_dampin_rotat_platf_integ_force_feedb and the journal paper cite:dehaeze21_activ_dampin_rotat_platf_using.
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This document gathers the Matlab code used to for the conference paper [[cite:&dehaeze20_activ_dampin_rotat_platf_integ_force_feedb]] and the journal paper [[cite:&dehaeze21_activ_dampin_rotat_platf_using]].
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It is structured in several sections:
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- Section [[sec:system_description]]: presents a simple model of a rotating suspended platform that will be used throughout this study.
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@@ -42,7 +39,7 @@ It is structured in several sections:
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- Section [[sec:comparison]]: compares both proposed modifications to the classical IFF in terms of damping authority and closed-loop system behavior.
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- Section [[sec:notations]]: contains the notations used for both the Matlab code and the paper
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The matlab code is accessible on [[https://zenodo.org/record/3894343][Zonodo]] and [[https://github.com/tdehaeze/dehaeze20_contr_stewa_platf][Github]] cite:dehaeze20_activ_dampin_rotat_posit_platf. It can also be download as a =.zip= file [[file:matlab.zip][here]].
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The matlab code is accessible on [[https://zenodo.org/record/3894343][Zonodo]] and [[https://github.com/tdehaeze/dehaeze20_contr_stewa_platf][Github]] [[cite:&dehaeze20_activ_dampin_rotat_posit_platf]]. It can also be download as a =.zip= file [[file:matlab.zip][here]].
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To run the Matlab code, go in the =matlab= directory and run the following Matlab files corresponding to each section.
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@@ -80,7 +77,7 @@ 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-paper/system.png]]
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[[file:figs/fig04.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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@@ -439,7 +436,7 @@ Two identical controllers $K_F$ are used to feedback each of the sensed force to
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#+name: fig:system_iff
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#+caption: System with added Force Sensor in series with the actuators
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[[file:figs-paper/system_iff.png]]
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[[file:figs/fig01.png]]
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** Matlab Init :noexport:ignore:
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#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
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@@ -1180,7 +1177,7 @@ In this section additional springs in parallel with the force sensors are added
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#+name: fig:system_parallel_springs
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#+caption: Studied system with additional springs in parallel with the actuators and force sensors
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[[file:figs-paper/system_parallel_springs.png]]
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[[file:figs/fig12.png]]
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In order to keep the overall stiffness $k = k_a + k_p$ constant, a scalar parameter $\alpha$ ($0 \le \alpha < 1$) is defined to describe the fraction of the total stiffness in parallel with the actuator and force sensor
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\begin{equation}
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