Export to PDF

This commit is contained in:
Thomas Dehaeze 2020-11-20 09:47:00 +01:00
parent c507b1d3f5
commit 9905b0412e
4 changed files with 2370 additions and 3 deletions

263
.gitignore vendored Normal file
View File

@ -0,0 +1,263 @@
figs/*.svg
.auctex-auto/
.log/
## Core latex/pdflatex auxiliary files:
*.aux
*.lof
*.log
*.lot
*.fls
*.out
*.toc
*.fmt
*.fot
*.cb
*.cb2
.*.lb
## Intermediate documents:
*.dvi
*.xdv
*-converted-to.*
# these rules might exclude image files for figures etc.
# *.ps
# *.eps
# *.pdf
## Generated if empty string is given at "Please type another file name for output:"
.pdf
## Bibliography auxiliary files (bibtex/biblatex/biber):
*.bbl
*.bcf
*.blg
*-blx.aux
*-blx.bib
*.run.xml
## Build tool auxiliary files:
*.fdb_latexmk
*.synctex
*.synctex(busy)
*.synctex.gz
*.synctex.gz(busy)
*.pdfsync
## Build tool directories for auxiliary files
# latexrun
latex.out/
## Auxiliary and intermediate files from other packages:
# algorithms
*.alg
*.loa
# achemso
acs-*.bib
# amsthm
*.thm
# beamer
*.nav
*.pre
*.snm
*.vrb
# changes
*.soc
# comment
*.cut
# cprotect
*.cpt
# elsarticle (documentclass of Elsevier journals)
*.spl
# endnotes
*.ent
# fixme
*.lox
# feynmf/feynmp
*.mf
*.mp
*.t[1-9]
*.t[1-9][0-9]
*.tfm
#(r)(e)ledmac/(r)(e)ledpar
*.end
*.?end
*.[1-9]
*.[1-9][0-9]
*.[1-9][0-9][0-9]
*.[1-9]R
*.[1-9][0-9]R
*.[1-9][0-9][0-9]R
*.eledsec[1-9]
*.eledsec[1-9]R
*.eledsec[1-9][0-9]
*.eledsec[1-9][0-9]R
*.eledsec[1-9][0-9][0-9]
*.eledsec[1-9][0-9][0-9]R
# glossaries
*.acn
*.acr
*.glg
*.glo
*.gls
*.glsdefs
# gnuplottex
*-gnuplottex-*
# gregoriotex
*.gaux
*.gtex
# htlatex
*.4ct
*.4tc
*.idv
*.lg
*.trc
*.xref
# hyperref
*.brf
# knitr
*-concordance.tex
# TODO Comment the next line if you want to keep your tikz graphics files
*.tikz
*-tikzDictionary
# listings
*.lol
# makeidx
*.idx
*.ilg
*.ind
*.ist
# minitoc
*.maf
*.mlf
*.mlt
*.mtc[0-9]*
*.slf[0-9]*
*.slt[0-9]*
*.stc[0-9]*
# minted
_minted*
*.pyg
# morewrites
*.mw
# nomencl
*.nlg
*.nlo
*.nls
# pax
*.pax
# pdfpcnotes
*.pdfpc
# sagetex
*.sagetex.sage
*.sagetex.py
*.sagetex.scmd
# scrwfile
*.wrt
# sympy
*.sout
*.sympy
sympy-plots-for-*.tex/
# pdfcomment
*.upa
*.upb
# pythontex
*.pytxcode
pythontex-files-*/
# tcolorbox
*.listing
# thmtools
*.loe
# TikZ & PGF
*.dpth
*.md5
*.auxlock
# todonotes
*.tdo
# vhistory
*.hst
*.ver
# easy-todo
*.lod
# xcolor
*.xcp
# xmpincl
*.xmpi
# xindy
*.xdy
# xypic precompiled matrices
*.xyc
# endfloat
*.ttt
*.fff
# Latexian
TSWLatexianTemp*
## Editors:
# WinEdt
*.bak
*.sav
# Texpad
.texpadtmp
# LyX
*.lyx~
# Kile
*.backup
# KBibTeX
*~[0-9]*
# auto folder when using emacs and auctex
./auto/*
*.el
# expex forward references with \gathertags
*-tags.tex
# standalone packages
*.sta

154
notes.org
View File

@ -1,5 +1,10 @@
#+TITLE: EUSPEN #+TITLE: EUSPEN
:DRAWER: :DRAWER:
#+LATEX_CLASS: scrartcl
#+LATEX_CLASS_OPTIONS: [a4paper,10pt,twoside,DIV=14]
#+OPTIONS: toc:2 todo:nil
#+STARTUP: overview #+STARTUP: overview
#+LANGUAGE: en #+LANGUAGE: en
@ -38,6 +43,20 @@
#+PROPERTY: header-args:latex+ :post pdf2svg(file=*this*, ext="png") #+PROPERTY: header-args:latex+ :post pdf2svg(file=*this*, ext="png")
:END: :END:
* Build :noexport:
#+NAME: startblock
#+BEGIN_SRC emacs-lisp :results none
(add-to-list 'org-latex-classes
'("scrartcl"
"\\documentclass{scrartcl}"
("\\section{%s}" . "\\section*{%s}")
("\\subsection{%s}" . "\\subsection*{%s}")
("\\subsubsection{%s}" . "\\subsubsection*{%s}")
("\\paragraph{%s}" . "\\paragraph*{%s}")
("\\subparagraph{%s}" . "\\subparagraph*{%s}"))
)
#+END_SRC
* Tutorial: Design concepts for sub-micrometer positioning :@huub_janssen: * Tutorial: Design concepts for sub-micrometer positioning :@huub_janssen:
** Positioning Terminology ** Positioning Terminology
- *Accuracy*: - *Accuracy*:
@ -52,14 +71,17 @@
#+name: fig:position_terminology #+name: fig:position_terminology
#+caption: Accuracy and Repeatability #+caption: Accuracy and Repeatability
#+attr_latex: :scale 0.5
[[file:./figs/position_terminology.png]] [[file:./figs/position_terminology.png]]
#+name: fig:position_resolution #+name: fig:position_resolution
#+caption: Position Resolution #+caption: Position Resolution
#+attr_latex: :scale 0.5
[[file:./figs/position_resolution.png]] [[file:./figs/position_resolution.png]]
#+name: fig:position_stability #+name: fig:position_stability
#+caption: Position Stability #+caption: Position Stability
#+attr_latex: :scale 0.5
[[file:./figs/position_stability.png]] [[file:./figs/position_stability.png]]
** Principles of accuracy ** Principles of accuracy
@ -69,6 +91,7 @@ The hysteresis can actually help estimating the play and friction present in the
#+name: fig:stiffness_friction #+name: fig:stiffness_friction
#+caption: Stiffness, play and Friction #+caption: Stiffness, play and Friction
#+attr_latex: :width \linewidth
[[file:figs/stiffness_friction.png]] [[file:figs/stiffness_friction.png]]
Ways to make the hysteresis smaller: Ways to make the hysteresis smaller:
@ -87,6 +110,7 @@ where the virtual play can be estimated as follow:
#+name: fig:position_uncertainty #+name: fig:position_uncertainty
#+caption: Hysterestis, play and virtual play #+caption: Hysterestis, play and virtual play
#+attr_latex: :scale 0.5
[[file:figs/position_uncertainty.png]] [[file:figs/position_uncertainty.png]]
When considering dynamics, the goal is to make the first resonance frequency much higher than the frequency of the wanted motion. When considering dynamics, the goal is to make the first resonance frequency much higher than the frequency of the wanted motion.
@ -110,6 +134,7 @@ Estimate the virtual play of the system in Figure [[fig:case_1]] with following
#+name: fig:case_1 #+name: fig:case_1
#+caption: Studied system for "Case 1" #+caption: Studied system for "Case 1"
#+attr_latex: :scale 0.5
[[file:./figs/case_1.png]] [[file:./figs/case_1.png]]
First the friction force can be calculated as the vertical mass times the friction coefficient: First the friction force can be calculated as the vertical mass times the friction coefficient:
@ -142,18 +167,22 @@ Some of them are:
#+name: fig:ball_joint #+name: fig:ball_joint
#+caption: Ball Joint #+caption: Ball Joint
#+attr_latex: :scale 0.5
[[file:./figs/ball_joint.png]] [[file:./figs/ball_joint.png]]
#+name: fig:ball_bearing #+name: fig:ball_bearing
#+caption: Ball Bearing #+caption: Ball Bearing
#+attr_latex: :scale 0.5
[[file:./figs/ball_bearing.png]] [[file:./figs/ball_bearing.png]]
#+name: fig:roller_bearing #+name: fig:roller_bearing
#+caption: Roller Bearing #+caption: Roller Bearing
#+attr_latex: :scale 0.5
[[file:./figs/roller_bearing.png]] [[file:./figs/roller_bearing.png]]
#+name: fig:roller_rail_guide #+name: fig:roller_rail_guide
#+caption: Roller Rail Guide #+caption: Roller Rail Guide
#+attr_latex: :scale 0.5
[[file:./figs/roller_rail_guide.png]] [[file:./figs/roller_rail_guide.png]]
** Compliant elements for constraining DoFs ** Compliant elements for constraining DoFs
@ -163,6 +192,7 @@ An example of a complaint element is shown in Figure [[fig:compliant_leaf]].
#+name: fig:compliant_leaf #+name: fig:compliant_leaf
#+caption: Example of 1dof constrained compliant element #+caption: Example of 1dof constrained compliant element
#+attr_latex: :scale 0.5
[[file:figs/compliant_1dof.png]] [[file:figs/compliant_1dof.png]]
Other types of compliant elements include: Other types of compliant elements include:
@ -173,14 +203,17 @@ Other types of compliant elements include:
#+name: fig:leaf_springs #+name: fig:leaf_springs
#+caption: Leaf springs #+caption: Leaf springs
#+attr_latex: :scale 0.5
[[file:./figs/leaf_springs.png]] [[file:./figs/leaf_springs.png]]
#+name: fig:folded_leaf_springs #+name: fig:folded_leaf_springs
#+caption: Folded Leaf springs #+caption: Folded Leaf springs
#+attr_latex: :scale 0.5
[[file:./figs/folded_leaf_springs.png]] [[file:./figs/folded_leaf_springs.png]]
#+name: fig:flexure_pivots #+name: fig:flexure_pivots
#+caption: Flexure Pivots (5dof constrained) #+caption: Flexure Pivots (5dof constrained)
#+attr_latex: :scale 0.5
[[file:./figs/flexure_pivots.png]] [[file:./figs/flexure_pivots.png]]
*** 1dof Parallel Guiding *** 1dof Parallel Guiding
@ -199,14 +232,17 @@ Parallel guiding can be made using two leaf springs (Figure [[fig:parallel_guidi
#+name: fig:parallel_guiding #+name: fig:parallel_guiding
#+caption: Parallel guiding #+caption: Parallel guiding
#+attr_latex: :scale 0.5
[[file:./figs/parallel_guiding.png]] [[file:./figs/parallel_guiding.png]]
#+name: fig:buckling #+name: fig:buckling
#+caption: Example of bucklink #+caption: Example of bucklink
#+attr_latex: :scale 0.5
[[file:./figs/buckling.png]] [[file:./figs/buckling.png]]
#+name: fig:reinforced_leaf_springs #+name: fig:reinforced_leaf_springs
#+caption: Reinforced leaf springs #+caption: Reinforced leaf springs
#+attr_latex: :scale 0.5
[[file:./figs/reinforced_leaf_springs.png]] [[file:./figs/reinforced_leaf_springs.png]]
*** Rotation Compliant Mechanism *** Rotation Compliant Mechanism
@ -217,6 +253,7 @@ Figure [[fig:rotation_leaf_springs]] shows a rotation compliant mechanism:
#+name: fig:rotation_leaf_springs #+name: fig:rotation_leaf_springs
#+caption: Example of rotation stage using leaf springs #+caption: Example of rotation stage using leaf springs
#+attr_latex: :scale 0.5
[[file:./figs/rotation_leaf_springs.png]] [[file:./figs/rotation_leaf_springs.png]]
*** Z translation *** Z translation
@ -229,12 +266,14 @@ This parasitic rotation is however predictable.
#+name: fig:vertical_stage_compliant #+name: fig:vertical_stage_compliant
#+caption: Z translation using 5 struts #+caption: Z translation using 5 struts
#+attr_latex: :scale 0.5
[[file:./figs/vertical_stage_compliant.png]] [[file:./figs/vertical_stage_compliant.png]]
An alternative is to use folder leaf springs (Figure [[fig:vertical_stage_leafs]]), and this avoid the parasitic rotation. An alternative is to use folder leaf springs (Figure [[fig:vertical_stage_leafs]]), and this avoid the parasitic rotation.
#+name: fig:vertical_stage_leafs #+name: fig:vertical_stage_leafs
#+caption: Z translation using 5 folded leaf springs #+caption: Z translation using 5 folded leaf springs
#+attr_latex: :scale 0.5
[[file:./figs/vertical_stage_leafs.png]] [[file:./figs/vertical_stage_leafs.png]]
*** X-Y-Rz Stage *** X-Y-Rz Stage
@ -242,10 +281,12 @@ An X-Y-Rz stage can be done either using 3 struts (Figure [[fig:x_y_rz_stage]])
#+name: fig:x_y_rz_stage #+name: fig:x_y_rz_stage
#+caption: X,Y,Rz using 3 struts #+caption: X,Y,Rz using 3 struts
#+attr_latex: :scale 0.5
[[file:./figs/x_y_rz_stage.png]] [[file:./figs/x_y_rz_stage.png]]
#+name: fig:x_y_rz_leafs #+name: fig:x_y_rz_leafs
#+caption: X,Y,Rz using 3 folded leaf springs #+caption: X,Y,Rz using 3 folded leaf springs
#+attr_latex: :scale 0.5
[[file:./figs/x_y_rz_leafs.png]] [[file:./figs/x_y_rz_leafs.png]]
*** Compliant mechanism with only one fixed dof *** Compliant mechanism with only one fixed dof
@ -254,6 +295,7 @@ The compliant mechanism shown in Figure [[fig:case_1_leaf_springs]] only constra
#+name: fig:case_1_leaf_springs #+name: fig:case_1_leaf_springs
#+caption: 5dof motion, only the Ry is constrained #+caption: 5dof motion, only the Ry is constrained
#+attr_latex: :scale 0.5
[[file:./figs/case_1_leaf_springs.png]] [[file:./figs/case_1_leaf_springs.png]]
*** Summary *** Summary
@ -268,12 +310,14 @@ An example of a complex compliant mechanism is shown in Figure [[fig:compliant_e
#+name: fig:compliant_example_1 #+name: fig:compliant_example_1
#+caption: Design concept #+caption: Design concept
#+attr_latex: :scale 0.5
[[file:./figs/compliant_example_1.png]] [[file:./figs/compliant_example_1.png]]
Figure [[fig:linear_bearing_leafs]] shown a reinforced part to avoid buckling and improve vertical stiffness. Figure [[fig:linear_bearing_leafs]] shown a reinforced part to avoid buckling and improve vertical stiffness.
#+name: fig:linear_bearing_leafs #+name: fig:linear_bearing_leafs
#+caption: Use leaf springs instead of linear roller bearings #+caption: Use leaf springs instead of linear roller bearings
#+attr_latex: :scale 0.5
[[file:./figs/linear_bearing_leafs.png]] [[file:./figs/linear_bearing_leafs.png]]
*** Mechatronics positioning challenge *** Mechatronics positioning challenge
@ -299,6 +343,7 @@ To make this stage usable for nano-metric positioning, the following ideas where
#+name: fig:xyRz_positioning_challenge #+name: fig:xyRz_positioning_challenge
#+caption: Example of X-Y-Rz positioning stage #+caption: Example of X-Y-Rz positioning stage
#+attr_latex: :scale 0.5
[[file:./figs/xyRz_positioning_challenge.png]] [[file:./figs/xyRz_positioning_challenge.png]]
yt:OjNnHa6O9A8 yt:OjNnHa6O9A8
@ -315,6 +360,7 @@ Its characteristics are:
#+name: fig:play_free_parallel_stage #+name: fig:play_free_parallel_stage
#+caption: Example of a parallel stage that should be converting to a compliant mechanism #+caption: Example of a parallel stage that should be converting to a compliant mechanism
#+attr_latex: :scale 0.5
[[file:./figs/play_free_parallel_stage.png]] [[file:./figs/play_free_parallel_stage.png]]
The goals are to: The goals are to:
@ -326,6 +372,7 @@ The solution is shown in Figure [[fig:play_free_parallel_stage_solution]].
#+name: fig:play_free_parallel_stage_solution #+name: fig:play_free_parallel_stage_solution
#+caption: Case Solution #+caption: Case Solution
#+attr_latex: :width \linewidth
[[file:./figs/play_free_parallel_stage_solution.png]] [[file:./figs/play_free_parallel_stage_solution.png]]
** Thin plate design ** Thin plate design
@ -350,6 +397,7 @@ where $A$ is the area of the cross section.
#+name: fig:thin_plate_torsion #+name: fig:thin_plate_torsion
#+caption: A plate under torsion #+caption: A plate under torsion
#+attr_latex: :scale 0.5
[[file:./figs/thin_plate_torsion.png]] [[file:./figs/thin_plate_torsion.png]]
*** Difference between open and close profile *** Difference between open and close profile
@ -359,6 +407,7 @@ Just by opening the tube, we have a much smaller torsional stiffness (but almost
#+name: fig:open_close_profil_torsion_stiffness #+name: fig:open_close_profil_torsion_stiffness
#+caption: Stiffness comparison open and closed tube (torsion) #+caption: Stiffness comparison open and closed tube (torsion)
#+attr_latex: :scale 0.5
[[file:./figs/open_close_profil_torsion_stiffness.png]] [[file:./figs/open_close_profil_torsion_stiffness.png]]
@ -367,12 +416,14 @@ If we remove one side of the cube shown in Figure [[fig:closed_box]], we would h
#+name: fig:closed_box #+name: fig:closed_box
#+caption: Closed box. #+caption: Closed box.
#+attr_latex: :scale 0.5
[[file:./figs/closed_box.png]] [[file:./figs/closed_box.png]]
If we use triangles, we obtain high torsional stiffness as shown in Figure [[fig:torsion_stiffness_box_double_triangle]]. If we use triangles, we obtain high torsional stiffness as shown in Figure [[fig:torsion_stiffness_box_double_triangle]].
#+name: fig:torsion_stiffness_box_double_triangle #+name: fig:torsion_stiffness_box_double_triangle
#+caption: Open box (double triangle) #+caption: Open box (double triangle)
#+attr_latex: :scale 0.5
[[file:./figs/torsion_stiffness_box_double_triangle.png]] [[file:./figs/torsion_stiffness_box_double_triangle.png]]
Frames are usually corresponding to open-boxes with have a small stiffness in torsion. Frames are usually corresponding to open-boxes with have a small stiffness in torsion.
@ -382,6 +433,7 @@ A nice way to have a 1dof flexure guiding with stiff frame is shown in Figure [[
#+name: fig:z_stage_triangles #+name: fig:z_stage_triangles
#+caption: Box with integrated flexure guiding #+caption: Box with integrated flexure guiding
#+attr_latex: :scale 0.5
[[file:./figs/z_stage_triangles.png]] [[file:./figs/z_stage_triangles.png]]
* Keynote: Mechatronic challenges in optical lithography :@hans_butler: * Keynote: Mechatronic challenges in optical lithography :@hans_butler:
@ -400,6 +452,7 @@ In this presentation, only the exposure step is discussed (lithography).
#+name: fig:asml_chip_manufacturing_loop #+name: fig:asml_chip_manufacturing_loop
#+caption: Chip manufacturing loop #+caption: Chip manufacturing loop
#+attr_latex: :width \linewidth
[[file:./figs/asml_chip_manufacturing_loop.png]] [[file:./figs/asml_chip_manufacturing_loop.png]]
** Imaging process - Basics ** Imaging process - Basics
@ -412,6 +465,7 @@ In this presentation, only the exposure step is discussed (lithography).
#+name: fig:asml_imaging_process #+name: fig:asml_imaging_process
#+caption: Imaging process - basics #+caption: Imaging process - basics
#+attr_latex: :scale 0.5
[[file:./figs/asml_imaging_process.png]] [[file:./figs/asml_imaging_process.png]]
** From stepper to scanner ** From stepper to scanner
@ -424,6 +478,7 @@ This implied many requirements in dynamics and accuracy!
#+name: fig:asml_stepper_to_scanner #+name: fig:asml_stepper_to_scanner
#+caption: From stepper to scanner #+caption: From stepper to scanner
#+attr_latex: :width \linewidth
[[file:./figs/asml_stepper_to_scanner.png]] [[file:./figs/asml_stepper_to_scanner.png]]
** Dual stage scanners ** Dual stage scanners
@ -442,6 +497,7 @@ Which are solved by:
#+name: fig:asml_dual_stage_scanners #+name: fig:asml_dual_stage_scanners
#+caption: Machine based on the dual stage scanners #+caption: Machine based on the dual stage scanners
#+attr_latex: :width \linewidth
[[file:./figs/asml_dual_stage_scanners.png]] [[file:./figs/asml_dual_stage_scanners.png]]
** Immersion technology ** Immersion technology
@ -458,10 +514,12 @@ Three solutions are used for the positioning control of the "hood" system (Figur
#+name: fig:asml_hood_system #+name: fig:asml_hood_system
#+caption: Hood System #+caption: Hood System
#+attr_latex: :scale 0.5
[[file:./figs/asml_hood_system.png]] [[file:./figs/asml_hood_system.png]]
#+name: fig:asml_immersion #+name: fig:asml_immersion
#+caption: Control system for the "hood" #+caption: Control system for the "hood"
#+attr_latex: :scale 0.5
[[file:./figs/asml_immersion.png]] [[file:./figs/asml_immersion.png]]
** Multiple Patterning ** Multiple Patterning
@ -481,6 +539,7 @@ The magnet stage can move horizontally (due to reaction forces of the wafer stag
#+name: fig:asml_machine_layout_bis #+name: fig:asml_machine_layout_bis
#+caption: Machine layout #+caption: Machine layout
#+attr_latex: :width \linewidth
[[file:./figs/asml_machine_layout_bis.png]] [[file:./figs/asml_machine_layout_bis.png]]
** EUV Lithography ** EUV Lithography
@ -500,18 +559,21 @@ Wafer stage:
#+name: fig:asml_euv #+name: fig:asml_euv
#+caption: Schematic of the ASML EUV machine #+caption: Schematic of the ASML EUV machine
#+attr_latex: :width \linewidth
[[file:./figs/asml_euv.png]] [[file:./figs/asml_euv.png]]
** The future: high-NA EUV ** The future: high-NA EUV
#+name: fig:asml_na_euv #+name: fig:asml_na_euv
#+caption: The CD will be 8nm #+caption: The CD will be 8nm
#+attr_latex: :width 0.5\linewidth
[[file:./figs/asml_na_euv.png]] [[file:./figs/asml_na_euv.png]]
In order to do so, high "opening" of the optics is required which is very challenges because the reflectiveness of mirror is decreasing as high angle of incidence (Figure [[fig:asml_reflection_angle]]). In order to do so, high "opening" of the optics is required which is very challenges because the reflectiveness of mirror is decreasing as high angle of incidence (Figure [[fig:asml_reflection_angle]]).
#+name: fig:asml_reflection_angle #+name: fig:asml_reflection_angle
#+caption: Change of reflection of a mirror as a function of the angle of indicence #+caption: Change of reflection of a mirror as a function of the angle of indicence
#+attr_latex: :scale 0.5
[[file:./figs/asml_reflection_angle.png]] [[file:./figs/asml_reflection_angle.png]]
** Challenges for future Optical Lithography machines ** Challenges for future Optical Lithography machines
@ -545,6 +607,7 @@ For discrete time controlled systems, there can be an additional limitation: ali
#+name: fig:aliasing_resonances #+name: fig:aliasing_resonances
#+caption: Example of high frequency lighlty damped resonances #+caption: Example of high frequency lighlty damped resonances
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_resonances.png]] [[file:./figs/aliasing_resonances.png]]
The aliasing of signals is well known (Figure [[fig:aliasing_signals]]). The aliasing of signals is well known (Figure [[fig:aliasing_signals]]).
@ -553,10 +616,12 @@ However, aliasing in systems can also happens and is schematically shown in Figu
#+name: fig:aliasing_signals #+name: fig:aliasing_signals
#+caption: Aliasing of Signals #+caption: Aliasing of Signals
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_signals.png]] [[file:./figs/aliasing_signals.png]]
#+name: fig:aliasing_system #+name: fig:aliasing_system
#+caption: Aliasing of Systems #+caption: Aliasing of Systems
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_system.png]] [[file:./figs/aliasing_system.png]]
The poles of the system will be aliased and their location will change in the complex plane as shown in Figure [[fig:aliasing_poles]]. The poles of the system will be aliased and their location will change in the complex plane as shown in Figure [[fig:aliasing_poles]].
@ -569,6 +634,7 @@ Therefore, the damping of the aliased resonances are foreseen to have larger dam
#+name: fig:aliasing_poles #+name: fig:aliasing_poles
#+caption: Aliasing of poles in the complex plane #+caption: Aliasing of poles in the complex plane
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_poles.png]] [[file:./figs/aliasing_poles.png]]
Let's consider two systems with a resonance: Let's consider two systems with a resonance:
@ -583,10 +649,12 @@ Therefore, when identifying a low damped resonance, it could be that it comes fo
#+name: fig:aliasing_above_nyquist #+name: fig:aliasing_above_nyquist
#+caption: Aliazed resonance shown on the Bode Diagram #+caption: Aliazed resonance shown on the Bode Diagram
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_above_nyquist.png]] [[file:./figs/aliasing_above_nyquist.png]]
#+name: fig:alising_much_above_nyquist #+name: fig:alising_much_above_nyquist
#+caption: Higher resonance frequency #+caption: Higher resonance frequency
#+attr_latex: :scale 0.5
[[file:./figs/alising_much_above_nyquist.png]] [[file:./figs/alising_much_above_nyquist.png]]
** Nature, Modelling and Mitigation of potentially aliasing resonances ** Nature, Modelling and Mitigation of potentially aliasing resonances
@ -594,12 +662,14 @@ The aliased modes can for instance comes from local modes in the actuators that
#+name: fig:alising_nature #+name: fig:alising_nature
#+caption: Local vibration mode that will be alized #+caption: Local vibration mode that will be alized
#+attr_latex: :scale 0.5
[[file:./figs/alising_nature.png]] [[file:./figs/alising_nature.png]]
The proposed idea to better model aliasing resonances is to include more modes in the FEM software as shown in Figure [[fig:aliasing_modeling]] and then perform an order reduction in matlab. The proposed idea to better model aliasing resonances is to include more modes in the FEM software as shown in Figure [[fig:aliasing_modeling]] and then perform an order reduction in matlab.
#+name: fig:aliasing_modeling #+name: fig:aliasing_modeling
#+caption: Common procedure and proposed procedure to include aliazed resonances #+caption: Common procedure and proposed procedure to include aliazed resonances
#+attr_latex: :width \linewidth
[[file:./figs/aliasing_modeling.png]] [[file:./figs/aliasing_modeling.png]]
** Anti aliasing filter design ** Anti aliasing filter design
@ -613,10 +683,12 @@ The proposed idea to better model aliasing resonances is to include more modes i
#+name: fig:alising_filter_introduction #+name: fig:alising_filter_introduction
#+caption: Example of the effect of aliased resonance on the open-loop #+caption: Example of the effect of aliased resonance on the open-loop
#+attr_latex: :scale 0.5
[[file:./figs/alising_filter_introduction.png]] [[file:./figs/alising_filter_introduction.png]]
#+name: fig:aliasing_sensitivity_effect #+name: fig:aliasing_sensitivity_effect
#+caption: Example of the effect of aliased resonance on sensitivity function #+caption: Example of the effect of aliased resonance on sensitivity function
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_sensitivity_effect.png]] [[file:./figs/aliasing_sensitivity_effect.png]]
*** Concept of equivalent delay *** Concept of equivalent delay
@ -644,6 +716,7 @@ The proposed idea to better model aliasing resonances is to include more modes i
#+name: fig:aliasing_equivalent_delay #+name: fig:aliasing_equivalent_delay
#+caption: Magnitude, Phase and Phase delay of 3 filters #+caption: Magnitude, Phase and Phase delay of 3 filters
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_equivalent_delay.png]] [[file:./figs/aliasing_equivalent_delay.png]]
*** Budgeting of phase lag *** Budgeting of phase lag
@ -651,12 +724,14 @@ The budgeting of the phase lag is done by expressing the phase lag of each eleme
#+name: fig:aliasing_budget_phase #+name: fig:aliasing_budget_phase
#+caption: Typical control loop with several phase lag / time delays #+caption: Typical control loop with several phase lag / time delays
#+attr_latex: :width \linewidth
[[file:./figs/aliasing_budget_phase.png]] [[file:./figs/aliasing_budget_phase.png]]
The equivalent delay of each element are listed in Figure [[fig:aliasing_budget_table]]. The equivalent delay of each element are listed in Figure [[fig:aliasing_budget_table]].
#+name: fig:aliasing_budget_table #+name: fig:aliasing_budget_table
#+caption: Equivalent delay for all the elements of the control loop #+caption: Equivalent delay for all the elements of the control loop
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_budget_table.png]] [[file:./figs/aliasing_budget_table.png]]
*** Selecting the filter order *** Selecting the filter order
@ -666,10 +741,12 @@ Some example of Butterworth filters are shown in Figure [[fig:aliasing_filter_or
#+name: fig:aliasing_filter_order_bode #+name: fig:aliasing_filter_order_bode
#+caption: Example of few Butterworth filters #+caption: Example of few Butterworth filters
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_filter_order_bode.png]] [[file:./figs/aliasing_filter_order_bode.png]]
#+name: fig:aliasing_filter_order_table #+name: fig:aliasing_filter_order_table
#+caption: Butterworth filters #+caption: Butterworth filters
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_filter_order_table.png]] [[file:./figs/aliasing_filter_order_table.png]]
*** Reducing the phase lag *** Reducing the phase lag
@ -678,6 +755,7 @@ The equivalent delay of a low pass (here second order) depends on its damping, s
#+name: fig:aliasing_reduce_phase_lag #+name: fig:aliasing_reduce_phase_lag
#+caption: Change of the phase delay with the damping of the filter #+caption: Change of the phase delay with the damping of the filter
#+attr_latex: :scale 0.5
[[file:./figs/aliasing_reduce_phase_lag.png]] [[file:./figs/aliasing_reduce_phase_lag.png]]
** Conclusion ** Conclusion
@ -719,10 +797,12 @@ Anti-aliasing filter design:
#+name: fig:flexure_delta_robot #+name: fig:flexure_delta_robot
#+caption: Picture of the Delta Robot #+caption: Picture of the Delta Robot
#+attr_latex: :scale 0.5
[[file:./figs/flexure_delta_robot.png]] [[file:./figs/flexure_delta_robot.png]]
#+name: fig:flexure_delta_robot_schematic #+name: fig:flexure_delta_robot_schematic
#+caption: x1, x2 x3 are the motor positions. f1,f2 f3 are the force motors. x,y,z are the position of the final point in cartesian coordinates #+caption: x1, x2 x3 are the motor positions. f1,f2 f3 are the force motors. x,y,z are the position of the final point in cartesian coordinates
#+attr_latex: :width \linewidth
[[file:./figs/flexure_delta_robot_schematic.png]] [[file:./figs/flexure_delta_robot_schematic.png]]
*** Modelling and validation of the delta robot *** Modelling and validation of the delta robot
@ -734,18 +814,21 @@ The system is then linearized around the working point (Figure [[fig:flexure_equ
#+name: fig:flexure_equations #+name: fig:flexure_equations
#+caption: Linearized equations of the Delta Robot #+caption: Linearized equations of the Delta Robot
#+attr_latex: :width \linewidth
[[file:./figs/flexure_equations.png]] [[file:./figs/flexure_equations.png]]
Then the parameters are identified from experiment (Figure [[fig:flexure_identification]]). Then the parameters are identified from experiment (Figure [[fig:flexure_identification]]).
#+name: fig:flexure_identification #+name: fig:flexure_identification
#+caption: Identification fo the transfer function from $F_1$ to $x_1$ #+caption: Identification fo the transfer function from $F_1$ to $x_1$
#+attr_latex: :width \linewidth
[[file:./figs/flexure_identification.png]] [[file:./figs/flexure_identification.png]]
The measurement of the coupling is move complicated as shown in Figure [[fig:flexure_identification_coupling]]. The measurement of the coupling is move complicated as shown in Figure [[fig:flexure_identification_coupling]].
#+name: fig:flexure_identification_coupling #+name: fig:flexure_identification_coupling
#+caption: Problem of identifying the coupling between F1 and x2 at low frequency #+caption: Problem of identifying the coupling between F1 and x2 at low frequency
#+attr_latex: :scale 0.5
[[file:./figs/flexure_identification_coupling.png]] [[file:./figs/flexure_identification_coupling.png]]
*** Control design for high trajectory tracking *** Control design for high trajectory tracking
@ -758,6 +841,7 @@ Control requirements:
#+name: fig:flexure_control_concept #+name: fig:flexure_control_concept
#+caption: Control concept used for the Delta robot #+caption: Control concept used for the Delta robot
#+attr_latex: :width \linewidth
[[file:./figs/flexure_control_concept.png]] [[file:./figs/flexure_control_concept.png]]
*** Electronic board *** Electronic board
@ -767,6 +851,7 @@ A 3 axis servo control board as been developed (Figure [[fig:flexure_electronics
#+name: fig:flexure_electronics_board #+name: fig:flexure_electronics_board
#+caption: Servo control board #+caption: Servo control board
#+attr_latex: :scale 0.5
[[file:./figs/flexure_electronics_board.png]]] [[file:./figs/flexure_electronics_board.png]]]
** Results ** Results
@ -776,6 +861,7 @@ Step response of the current control loop is shown in Figure [[fig:flexure_curre
#+name: fig:flexure_current_control_results #+name: fig:flexure_current_control_results
#+caption: Step response for the current control loop #+caption: Step response for the current control loop
#+attr_latex: :scale 0.5
[[file:./figs/flexure_current_control_results.png]] [[file:./figs/flexure_current_control_results.png]]
*** Trajectory tracking: results with laser interferometer and encoder *** Trajectory tracking: results with laser interferometer and encoder
@ -784,20 +870,24 @@ XY renishaw interferometers used to verify the performance of the system (Figure
#+name: fig:flexure_sensors #+name: fig:flexure_sensors
#+caption: Experimental setup to verify the performances of the system #+caption: Experimental setup to verify the performances of the system
#+attr_latex: :width \linewidth
[[file:./figs/flexure_sensors.png]] [[file:./figs/flexure_sensors.png]]
Some results are shown in Figures [[fig:flexure_results]], [[fig:flexure_steps]] and [[fig:flexure_dynamics_errors]]. Some results are shown in Figures [[fig:flexure_results]], [[fig:flexure_steps]] and [[fig:flexure_dynamics_errors]].
#+name: fig:flexure_results #+name: fig:flexure_results
#+caption: Circuit motion results and point to point motion results #+caption: Circuit motion results and point to point motion results
#+attr_latex: :width \linewidth
[[file:./figs/flexure_results.png]] [[file:./figs/flexure_results.png]]
#+name: fig:flexure_steps #+name: fig:flexure_steps
#+caption: Step response of the system #+caption: Step response of the system
#+attr_latex: :width \linewidth
[[file:./figs/flexure_steps.png]] [[file:./figs/flexure_steps.png]]
#+name: fig:flexure_dynamics_errors #+name: fig:flexure_dynamics_errors
#+caption: Measured dynamical errors #+caption: Measured dynamical errors
#+attr_latex: :width \linewidth
[[file:./figs/flexure_dynamics_errors.png]] [[file:./figs/flexure_dynamics_errors.png]]
** Conclusion ** Conclusion
@ -821,16 +911,19 @@ Flexible eigenmodes are present in every system component and leads to::
#+name: fig:mimo_flexible_modes #+name: fig:mimo_flexible_modes
#+caption: Limitation of the control bandwidth due to flexible eigenmodes #+caption: Limitation of the control bandwidth due to flexible eigenmodes
#+attr_latex: :width \linewidth
[[file:./figs/mimo_flexible_modes.png]] [[file:./figs/mimo_flexible_modes.png]]
#+name: fig:mimo_flexible_modes_coupling #+name: fig:mimo_flexible_modes_coupling
#+caption: Coupling due to flexible eigenmodes #+caption: Coupling due to flexible eigenmodes
#+attr_latex: :scale 0.5
[[file:./figs/mimo_flexible_modes_coupling.png]] [[file:./figs/mimo_flexible_modes_coupling.png]]
In order to estimate the performances of a system, the sensitivity function can be used (Figure [[fig:mimo_sensitivity_performance]]). In order to estimate the performances of a system, the sensitivity function can be used (Figure [[fig:mimo_sensitivity_performance]]).
#+name: fig:mimo_sensitivity_performance #+name: fig:mimo_sensitivity_performance
#+caption:Bode plot of a typical Sensitivity function #+caption:Bode plot of a typical Sensitivity function
#+attr_latex: :scale 0.5
[[file:./figs/mimo_sensitivity_performance.png]] [[file:./figs/mimo_sensitivity_performance.png]]
** Performance analysis with different sensitivity functions ** Performance analysis with different sensitivity functions
@ -848,6 +941,7 @@ One loop is closed at a time, and the coupling effects are taken into account.
#+name: fig:mimo_sensitivity_functions #+name: fig:mimo_sensitivity_functions
#+caption: Visual representation of the three systems #+caption: Visual representation of the three systems
#+attr_latex: :scale 0.5
[[file:./figs/mimo_sensitivity_functions.png]] [[file:./figs/mimo_sensitivity_functions.png]]
** Example system ** Example system
@ -858,6 +952,7 @@ A diagonal PID controller is used.
#+name: fig:mimo_example_system #+name: fig:mimo_example_system
#+caption: Schematic representation of the example system #+caption: Schematic representation of the example system
#+attr_latex: :scale 0.5
[[file:./figs/mimo_example_system.png]] [[file:./figs/mimo_example_system.png]]
@ -865,6 +960,7 @@ The bode plot of the MIMO system is shown in Figure [[fig:mimo_example_bode]] wh
#+name: fig:mimo_example_bode #+name: fig:mimo_example_bode
#+caption: Bode plot of the full MIMO system #+caption: Bode plot of the full MIMO system
#+attr_latex: :width \linewidth
[[file:./figs/mimo_example_bode.png]] [[file:./figs/mimo_example_bode.png]]
In Figure [[fig:mimo_example_sensitivity]] is shown that the sensitivity function computed from the SISO system is not correct. In Figure [[fig:mimo_example_sensitivity]] is shown that the sensitivity function computed from the SISO system is not correct.
@ -873,6 +969,7 @@ However, as expected, the off-diagonal sensibilities are not modelled.
#+name: fig:mimo_example_sensitivity #+name: fig:mimo_example_sensitivity
#+caption: Bode plots of sensitivity functions #+caption: Bode plots of sensitivity functions
#+attr_latex: :width \linewidth
[[file:./figs/mimo_example_sensitivity.png]] [[file:./figs/mimo_example_sensitivity.png]]
** Conclusion ** Conclusion
@ -887,6 +984,7 @@ The conclusion are the following and summarized in Figure [[fig:mimo_results]]:
#+name: fig:mimo_results #+name: fig:mimo_results
#+caption: Comparison of the three methods to deal with a MIMO system #+caption: Comparison of the three methods to deal with a MIMO system
#+attr_latex: :width \linewidth
[[file:./figs/mimo_results.png]] [[file:./figs/mimo_results.png]]
* High-precision motion system design by topology optimization considering additive manufacturing :@arnoud_delissen: * High-precision motion system design by topology optimization considering additive manufacturing :@arnoud_delissen:
@ -900,6 +998,7 @@ The goal here is to make the eigen-frequency higher as this will allow more band
#+name: fig:mimoopt_6dof_stage #+name: fig:mimoopt_6dof_stage
#+caption: Schematic of the 6dof levitating stage #+caption: Schematic of the 6dof levitating stage
#+attr_latex: :scale 0.5
[[file:./figs/mimoopt_6dof_stage.png]] [[file:./figs/mimoopt_6dof_stage.png]]
** Case ** Case
@ -908,6 +1007,7 @@ More precisely, the goal is to automatically maximize the three eigen-frequencie
#+name: fig:mimoopt_case #+name: fig:mimoopt_case
#+caption: System to be optimized #+caption: System to be optimized
#+attr_latex: :scale 0.3
[[file:./figs/mimoopt_case.png]] [[file:./figs/mimoopt_case.png]]
** Manufacturing process ** Manufacturing process
@ -917,6 +1017,7 @@ The process is shown in Figure [[fig:mimoopt_process]].
#+name: fig:mimoopt_process #+name: fig:mimoopt_process
#+caption: Manufacturing process #+caption: Manufacturing process
#+attr_latex: :scale 0.3
[[file:./figs/mimoopt_process.png]] [[file:./figs/mimoopt_process.png]]
** Topology optimization ** Topology optimization
@ -932,6 +1033,7 @@ The number of elements is 1 million (=> 15 minutes per iteration to compute the
#+name: fig:mimoopt_3d_opti #+name: fig:mimoopt_3d_opti
#+caption: Results of the topology optimization and zoom to see individual elements #+caption: Results of the topology optimization and zoom to see individual elements
#+attr_latex: :width \linewidth
[[file:./figs/mimoopt_3d_opti.png]] [[file:./figs/mimoopt_3d_opti.png]]
** Performance Comparison ** Performance Comparison
@ -940,12 +1042,14 @@ The obtained mass and eigen-frequencies of the optimized system and the solid eq
#+name: fig:mimoopt_performance #+name: fig:mimoopt_performance
#+caption: Comparison of the obtained performances #+caption: Comparison of the obtained performances
#+attr_latex: :width \linewidth
[[file:./figs/mimoopt_performance.png]] [[file:./figs/mimoopt_performance.png]]
Identification on the realized system shown that the obtained eigen-frequencies are very closed to the estimated ones (Figure [[fig:mimoopt_frf_identification]]). Identification on the realized system shown that the obtained eigen-frequencies are very closed to the estimated ones (Figure [[fig:mimoopt_frf_identification]]).
#+name: fig:mimoopt_frf_identification #+name: fig:mimoopt_frf_identification
#+caption: Results very close to simulation (~1% for the eigen frequencies) #+caption: Results very close to simulation (~1% for the eigen frequencies)
#+attr_latex: :scale 0.5
[[file:./figs/mimoopt_frf_identification.png]] [[file:./figs/mimoopt_frf_identification.png]]
** Conclusion ** Conclusion
@ -973,6 +1077,7 @@ The design trade-off is:
#+name: fig:frf_introduction #+name: fig:frf_introduction
#+caption: schematic of the identification of the FRF #+caption: schematic of the identification of the FRF
#+attr_latex: :scale 0.5
[[file:./figs/frf_introduction.png]] [[file:./figs/frf_introduction.png]]
For SISO systems: For SISO systems:
@ -994,12 +1099,14 @@ This lead to non-optimal FRFs estimation.
#+name: fig:frf_direction_excitation #+name: fig:frf_direction_excitation
#+caption: Example of a SISO approach to identify MIMO FRFs #+caption: Example of a SISO approach to identify MIMO FRFs
#+attr_latex: :width \linewidth
[[file:./figs/frf_direction_excitation.png]] [[file:./figs/frf_direction_excitation.png]]
When having a MIMO approach and choosing both the direction and gain of the excitation inputs, we can obtained much better FRFs uncertainty while still fulfilling the constraints (Figure [[fig:frf_mimo]]). When having a MIMO approach and choosing both the direction and gain of the excitation inputs, we can obtained much better FRFs uncertainty while still fulfilling the constraints (Figure [[fig:frf_mimo]]).
#+name: fig:frf_mimo #+name: fig:frf_mimo
#+caption: Example of the MIMO approach that gives much better FRFs #+caption: Example of the MIMO approach that gives much better FRFs
#+attr_latex: :width \linewidth
[[file:./figs/frf_mimo.png]] [[file:./figs/frf_mimo.png]]
** Solving the optimization problem ** Solving the optimization problem
@ -1016,6 +1123,7 @@ In this work, two algorithms are proposed and not further detailed here.
#+name: fig:frf_optimization_steps #+name: fig:frf_optimization_steps
#+caption: Two step optimization process #+caption: Two step optimization process
#+attr_latex: :scale 0.5
[[file:./figs/frf_optimization_steps.png]] [[file:./figs/frf_optimization_steps.png]]
** Experimental validation ** Experimental validation
@ -1029,6 +1137,7 @@ The obtained FRFs are shown in Figure [[fig:frf_experiment]].
#+name: fig:frf_experiment #+name: fig:frf_experiment
#+caption: Obtained MIMO FRFs #+caption: Obtained MIMO FRFs
#+attr_latex: :width \linewidth
[[file:./figs/frf_experiment.png]] [[file:./figs/frf_experiment.png]]
A comparison of one of the obtained FRFs is shown in Figure [[fig:frf_experiment_optimized]]. A comparison of one of the obtained FRFs is shown in Figure [[fig:frf_experiment_optimized]].
@ -1037,6 +1146,7 @@ The RR proposed algorithm is giving the best results
#+name: fig:frf_experiment_optimized #+name: fig:frf_experiment_optimized
#+caption: Example of one of the obtained FRF #+caption: Example of one of the obtained FRF
#+attr_latex: :width \linewidth
[[file:./figs/frf_experiment_optimized.png]] [[file:./figs/frf_experiment_optimized.png]]
** Conclusion ** Conclusion
@ -1055,6 +1165,7 @@ Examples of Nano Coordinate Measuring Machines are shown in Figure [[fig:prec_cm
#+name: fig:prec_cmm #+name: fig:prec_cmm
#+caption: Example of Coordinate Measuring Machines #+caption: Example of Coordinate Measuring Machines
#+attr_latex: :width \linewidth
[[file:./figs/prec_cmm.png]] [[file:./figs/prec_cmm.png]]
** Difference between CMM and nano-CMM ** Difference between CMM and nano-CMM
@ -1074,7 +1185,8 @@ which is not compatible with nano-meter precisions.
Then, the classical CMM will not work for nano precision Then, the classical CMM will not work for nano precision
#+name: fig:prec_cmm_nano_cmm #+name: fig:prec_cmm_nano_cmm
#+caption: #+caption: Schematic of a CMM
#+attr_latex: :scale 0.5
[[file:./figs/prec_cmm_nano_cmm.png]] [[file:./figs/prec_cmm_nano_cmm.png]]
** How to do nano-CMM ** How to do nano-CMM
@ -1097,6 +1209,7 @@ The 3D-realization of Abbe-principle is as follows:
#+name: fig:prec_nano_cmm_concept #+name: fig:prec_nano_cmm_concept
#+caption: Error minimal measuring principle #+caption: Error minimal measuring principle
#+attr_latex: :scale 0.5
[[file:./figs/prec_nano_cmm_concept.png]] [[file:./figs/prec_nano_cmm_concept.png]]
** Minimization of residual Abbe error ** Minimization of residual Abbe error
@ -1105,6 +1218,7 @@ Still some residual Abbe error can happen as shown in Figure [[fig:prec_abbe_min
#+name: fig:prec_abbe_min #+name: fig:prec_abbe_min
#+caption: Residual Abbe error #+caption: Residual Abbe error
#+attr_latex: :width \linewidth
[[file:./figs/prec_abbe_min.png]] [[file:./figs/prec_abbe_min.png]]
** Compare of long travel guiding systems ** Compare of long travel guiding systems
@ -1113,6 +1227,7 @@ In order to have the Abbe error compatible with nano-meter precision, the precis
#+name: fig:prec_comp_guid #+name: fig:prec_comp_guid
#+caption: Characteristics of guidings #+caption: Characteristics of guidings
#+attr_latex: :scale 0.5
[[file:./figs/prec_comp_guid.png]] [[file:./figs/prec_comp_guid.png]]
** Extended 6 DoF Abbe comparator principle ** Extended 6 DoF Abbe comparator principle
@ -1128,6 +1243,7 @@ Without an error-minimal approach, nano-meter precision cannot be achieved in la
#+name: fig:prec_6dof_abbe #+name: fig:prec_6dof_abbe
#+caption: Use of additional autocollimator and actuators for Abbe minimization #+caption: Use of additional autocollimator and actuators for Abbe minimization
#+attr_latex: :width \linewidth
[[file:./figs/prec_6dof_abbe.png]] [[file:./figs/prec_6dof_abbe.png]]
** Practical Realisation ** Practical Realisation
@ -1136,6 +1252,7 @@ A practical realization of the Extended 6 DoF Abbe comparator principle is shown
#+name: fig:prec_practical_6dof #+name: fig:prec_practical_6dof
#+caption: Practical Realization of the #+caption: Practical Realization of the
#+attr_latex: :width \linewidth
[[file:./figs/prec_practical_6dof.png]] [[file:./figs/prec_practical_6dof.png]]
** Tilt Compensation ** Tilt Compensation
@ -1150,10 +1267,12 @@ To measure compensate for any tilt, two solutions are proposed:
#+name: fig:prec_tilt_corection #+name: fig:prec_tilt_corection
#+caption: Auto-Collimator #+caption: Auto-Collimator
#+attr_latex: :scale 0.5
[[file:./figs/prec_tilt_corection.png]] [[file:./figs/prec_tilt_corection.png]]
#+name: fig:prec_tilt_corection_bis #+name: fig:prec_tilt_corection_bis
#+caption: 6 Interferometers to measure tilts #+caption: 6 Interferometers to measure tilts
#+attr_latex: :scale 0.5
[[file:./figs/prec_tilt_corection_bis.png]] [[file:./figs/prec_tilt_corection_bis.png]]
** Comparison of long travail guiding systems - Bis ** Comparison of long travail guiding systems - Bis
@ -1167,6 +1286,7 @@ Now, if we actively compensate the tilts are shown previously, we can fulfill th
#+name: fig:prec_comp_guid_bis #+name: fig:prec_comp_guid_bis
#+caption: Characteristics of the tilt compensation system #+caption: Characteristics of the tilt compensation system
#+attr_latex: :width \linewidth
[[file:./figs/prec_comp_guid_bis.png]] [[file:./figs/prec_comp_guid_bis.png]]
** Drive concept ** Drive concept
@ -1180,6 +1300,7 @@ Only one linear voice coil actuator is used which with large moving range and su
#+name: fig:prec_drive_concept #+name: fig:prec_drive_concept
#+caption: Voice Coil Actuator #+caption: Voice Coil Actuator
#+attr_latex: :scale 0.5
[[file:./figs/prec_drive_concept.png]] [[file:./figs/prec_drive_concept.png]]
@ -1198,12 +1319,14 @@ Characteristics:
#+name: fig:prec_mechanics #+name: fig:prec_mechanics
#+caption: Picture of the NPMM-200 #+caption: Picture of the NPMM-200
#+attr_latex: :width \linewidth
[[file:./figs/prec_mechanics.png]] [[file:./figs/prec_mechanics.png]]
The NPMM-200 actually operates inside a Vacuum chamber as shown in Figure [[fig:prec_vacuum_cham]]. The NPMM-200 actually operates inside a Vacuum chamber as shown in Figure [[fig:prec_vacuum_cham]].
#+name: fig:prec_vacuum_cham #+name: fig:prec_vacuum_cham
#+caption: Vacuum chamber used #+caption: Vacuum chamber used
#+attr_latex: :scale 0.5
[[file:./figs/prec_vacuum_cham.png]] [[file:./figs/prec_vacuum_cham.png]]
** measurement capability ** measurement capability
@ -1212,12 +1335,14 @@ Some step responses are shown in Figure [[fig:prec_results_meas]] and show the n
#+name: fig:prec_results_meas #+name: fig:prec_results_meas
#+caption: Sub nano-meter position accuracy #+caption: Sub nano-meter position accuracy
#+attr_latex: :width \linewidth
[[file:./figs/prec_results_meas.png]] [[file:./figs/prec_results_meas.png]]
Picometer steps can even be achieved as shown in Figure [[fig:prec_results_pico]]. Picometer steps can even be achieved as shown in Figure [[fig:prec_results_pico]].
#+name: fig:prec_results_pico #+name: fig:prec_results_pico
#+caption: Picometer level control #+caption: Picometer level control
#+attr_latex: :width 0.6\linewidth
[[file:./figs/prec_results_pico.png]] [[file:./figs/prec_results_pico.png]]
** Extension of the measuring range (700mm) ** Extension of the measuring range (700mm)
@ -1245,6 +1370,7 @@ This fulfills the Abbe principe but:
#+name: fig:prec_inverse_kin #+name: fig:prec_inverse_kin
#+caption: Tetrahedrical concept #+caption: Tetrahedrical concept
#+attr_latex: :scale 0.5
[[file:./figs/prec_inverse_kin.png]] [[file:./figs/prec_inverse_kin.png]]
** Inverse kinematic concept - Scanning probe principle ** Inverse kinematic concept - Scanning probe principle
@ -1257,6 +1383,7 @@ An other concept, the scanning probe principle is shown in Figure [[fig:prec_inv
#+name: fig:prec_inverse_kin_scan #+name: fig:prec_inverse_kin_scan
#+caption: Scanning probe principle #+caption: Scanning probe principle
#+attr_latex: :scale 0.5
[[file:./figs/prec_inverse_kin_scan.png]] [[file:./figs/prec_inverse_kin_scan.png]]
** Inverse kinematic concept - Compact measuring head ** Inverse kinematic concept - Compact measuring head
@ -1268,6 +1395,7 @@ The interferometer used are fiber coupled laser interferometers with a mass of 3
#+name: fig:prec_interferometers #+name: fig:prec_interferometers
#+caption: Micro Interferometers #+caption: Micro Interferometers
#+attr_latex: :scale 0.5
[[file:./figs/prec_interferometers.png]] [[file:./figs/prec_interferometers.png]]
The concept is shown in Figure [[fig:prec_inverse_meas_head]]: The concept is shown in Figure [[fig:prec_inverse_meas_head]]:
@ -1279,6 +1407,7 @@ There is some abbe offset between measurement axis of probe and of interferomete
#+name: fig:prec_inverse_meas_head #+name: fig:prec_inverse_meas_head
#+caption: #+caption:
#+attr_latex: :scale 0.5
[[file:./figs/prec_inverse_meas_head.png]] [[file:./figs/prec_inverse_meas_head.png]]
** Inverse kinematic concept - Scanning probe principle ** Inverse kinematic concept - Scanning probe principle
@ -1289,6 +1418,7 @@ Thus the tilt and Abbe errors can be compensated for with sub-nm resolution.
#+name: fig:prec_abbe_compensation #+name: fig:prec_abbe_compensation
#+caption: Use of the interferometers to compensate for the Abbe errors #+caption: Use of the interferometers to compensate for the Abbe errors
#+attr_latex: :scale 0.5
[[file:./figs/prec_abbe_compensation.png]] [[file:./figs/prec_abbe_compensation.png]]
** Conclusion ** Conclusion
@ -1300,20 +1430,23 @@ Proposed approaches to push the nano-positioning and nano-measuring technology:
- Abbe-error compensation by closed loop control of angular deviations - Abbe-error compensation by closed loop control of angular deviations
* Reducing control delay times to enhance dynamic stiffness of magnetic bearings :@jan_philipp_schmidtmann: * Reducing control delay times to enhance dynamic stiffness of magnetic bearings :@jan_philipp_schmidtmann:
** Introduction
This projects focuses on reducing the control delay times of a magnetic bearing shown in Figure [[fig:magn_bear_intro]]. This projects focuses on reducing the control delay times of a magnetic bearing shown in Figure [[fig:magn_bear_intro]].
#+name: fig:magn_bear_intro #+name: fig:magn_bear_intro
#+caption: 6 DoF Position System - Concept #+caption: 6 DoF Position System - Concept
#+attr_latex: :width \linewidth
[[file:./figs/magn_bear_intro.png]] [[file:./figs/magn_bear_intro.png]]
Active magnetic bearings are unstable systems and require active control. Active magnetic bearings are unstable systems and require active control.
However, the active control of magnet forces leads to a control delay that limits the performances (stiffness) of the bearing. However, the active control of magnet forces leads to a control delay that limits the performances (stiffness) of the bearing.
** Time Delay Reduction
Typical contributors to the control delay time are shown in Figure [[fig:magn_bear_delay]]. Typical contributors to the control delay time are shown in Figure [[fig:magn_bear_delay]].
#+name: fig:magn_bear_delay #+name: fig:magn_bear_delay
#+caption: Typical Contributors to control delay time #+caption: Typical Contributors to control delay time
#+attr_latex: :width \linewidth
[[file:./figs/magn_bear_delay.png]] [[file:./figs/magn_bear_delay.png]]
The reduction of the control time delay will increase the dynamic stiffness of the bearing as well as decrease the effects of external disturbances and hence improve the positioning errors (Figure [[fig:magn_bear_distur]]). The reduction of the control time delay will increase the dynamic stiffness of the bearing as well as decrease the effects of external disturbances and hence improve the positioning errors (Figure [[fig:magn_bear_distur]]).
@ -1325,12 +1458,15 @@ The steps to reduce the control delay time are:
#+name: fig:magn_bear_distur #+name: fig:magn_bear_distur
#+caption: The effect of control delay on stiffness #+caption: The effect of control delay on stiffness
#+attr_latex: :scale 0.5
[[file:./figs/magn_bear_distur.png]] [[file:./figs/magn_bear_distur.png]]
** Practical Realization
Therefore, the position and current control have been merged into one controller (Figure [[fig:magn_controller]]). Therefore, the position and current control have been merged into one controller (Figure [[fig:magn_controller]]).
#+name: fig:magn_controller #+name: fig:magn_controller
#+caption: Controller for position and current #+caption: Controller for position and current
#+attr_latex: :scale 0.5
[[file:./figs/magn_controller.png]] [[file:./figs/magn_controller.png]]
A dSpace rapid prototyping system is used for fast position and current control. A dSpace rapid prototyping system is used for fast position and current control.
@ -1338,8 +1474,10 @@ Characteristics of the used elements are shown in Figure [[fig:magn_bear_setup]]
#+name: fig:magn_bear_setup #+name: fig:magn_bear_setup
#+caption: Setup for reduced delay times #+caption: Setup for reduced delay times
#+attr_latex: :scale 0.5
[[file:./figs/magn_bear_setup.png]] [[file:./figs/magn_bear_setup.png]]
** Results
Differences between the previous PWM controller and the new SiC controller are shown in Figure [[fig:magn_bear_results]]. Differences between the previous PWM controller and the new SiC controller are shown in Figure [[fig:magn_bear_results]].
The delay time is almost completely eliminated. The delay time is almost completely eliminated.
@ -1347,6 +1485,7 @@ The delay time is almost completely eliminated.
#+caption: Reduction of delay in PWM Driver #+caption: Reduction of delay in PWM Driver
[[file:./figs/magn_bear_results.png]] [[file:./figs/magn_bear_results.png]]
** Conclusion
Due to all the performed modifications, the control delay time could be reduced by 80%. Due to all the performed modifications, the control delay time could be reduced by 80%.
The next steps for this project are shown in Figure [[fig:magn_bear_conclusion]]. The next steps for this project are shown in Figure [[fig:magn_bear_conclusion]].
@ -1362,6 +1501,7 @@ However, these models are usually not used after control system is implemented (
#+name: fig:twins_motivation #+name: fig:twins_motivation
#+caption: Typical of of models in a mechatronic system #+caption: Typical of of models in a mechatronic system
#+attr_latex: :width \linewidth
[[file:./figs/twins_motivation.png]] [[file:./figs/twins_motivation.png]]
Here, the models are exploited to monitor the system and predict future possible failures in the system. Here, the models are exploited to monitor the system and predict future possible failures in the system.
@ -1369,6 +1509,7 @@ Use models as digital twin for *fault detection and Isolation for predictive mai
#+name: fig:twing_fdi #+name: fig:twing_fdi
#+caption: FDI is using the model of the plant #+caption: FDI is using the model of the plant
#+attr_latex: :scale 0.5
[[file:./figs/twing_fdi.png]] [[file:./figs/twing_fdi.png]]
** Predictive Maintenance ** Predictive Maintenance
@ -1376,12 +1517,14 @@ Classical maintenance happens when the system is not working anymore as shown in
#+name: fig:twins_predictive_maintenance #+name: fig:twins_predictive_maintenance
#+caption: Maintenance done when a failure is appearing #+caption: Maintenance done when a failure is appearing
#+attr_latex: :width \linewidth
[[file:./figs/twins_predictive_maintenance.png]] [[file:./figs/twins_predictive_maintenance.png]]
It is possible to perform some preventive maintenance before a failure happens, but this is still not optimal. It is possible to perform some preventive maintenance before a failure happens, but this is still not optimal.
#+name: fig:twins_predictive_maintenance_bis #+name: fig:twins_predictive_maintenance_bis
#+caption: Preventive Maintenance #+caption: Preventive Maintenance
#+attr_latex: :width \linewidth
[[file:./figs/twins_predictive_maintenance_bis.png]] [[file:./figs/twins_predictive_maintenance_bis.png]]
The idea here is to predict when the failure will happen in order to only do maintenance only when really necessary. The idea here is to predict when the failure will happen in order to only do maintenance only when really necessary.
@ -1389,6 +1532,7 @@ This will minimize the down time of the machine.
#+name: fig:twins_predictive_maintenance_ter #+name: fig:twins_predictive_maintenance_ter
#+caption: Predictive maintenance #+caption: Predictive maintenance
#+attr_latex: :width \linewidth
[[file:./figs/twins_predictive_maintenance_ter.png]] [[file:./figs/twins_predictive_maintenance_ter.png]]
** Objectives ** Objectives
@ -1408,6 +1552,7 @@ This should take into account the control loop, interaction in the system and be
#+name: fig:twings_fdi_test #+name: fig:twings_fdi_test
#+caption: Test System #+caption: Test System
#+attr_latex: :scale 0.5
[[file:./figs/twings_fdi_test.png]] [[file:./figs/twings_fdi_test.png]]
The architecture to estimate faults in the system is shown in Figure [[fig:twins_null_space_fdi]]. The architecture to estimate faults in the system is shown in Figure [[fig:twins_null_space_fdi]].
@ -1415,12 +1560,14 @@ The goal is to design $Q_u$ and $Q_y$ such that $\epsilon$ is a representation o
#+name: fig:twins_null_space_fdi #+name: fig:twins_null_space_fdi
#+caption: Residual Generator #+caption: Residual Generator
#+attr_latex: :scale 0.4
[[file:./figs/twins_null_space_fdi.png]] [[file:./figs/twins_null_space_fdi.png]]
When a fault happens (Figure [[fig:twins_results_fdi]]), the outputs signals are not changing that much (because of feedback), however the system is able to find that there is a problem using the residual $\epsilon$. When a fault happens (Figure [[fig:twins_results_fdi]]), the outputs signals are not changing that much (because of feedback), however the system is able to find that there is a problem using the residual $\epsilon$.
#+name: fig:twins_results_fdi #+name: fig:twins_results_fdi
#+caption: Simulation Results #+caption: Simulation Results
#+attr_latex: :width \linewidth
[[file:./figs/twins_results_fdi.png]] [[file:./figs/twins_results_fdi.png]]
*Procedure*: *Procedure*:
@ -1437,9 +1584,10 @@ Moreover, from the fault detection, predictive maintenance should be performed (
#+name: fig:twins_roadmap #+name: fig:twins_roadmap
#+caption: From proof of principle to industrial application #+caption: From proof of principle to industrial application
#+attr_latex: :width \linewidth
[[file:./figs/twins_roadmap.png]] [[file:./figs/twins_roadmap.png]]
#+name: fig:twins_roadmap_bis #+name: fig:twins_roadmap_bis
#+caption: From fault detection to predictive maintenance #+caption: From fault detection to predictive maintenance
#+attr_latex: :width \linewidth
[[file:./figs/twins_roadmap_bis.png]] [[file:./figs/twins_roadmap_bis.png]]

BIN
notes.pdf Normal file

Binary file not shown.

1956
notes.tex Normal file

File diff suppressed because it is too large Load Diff