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1
.gitattributes
vendored
Normal file
@@ -0,0 +1 @@
|
||||
*.eps binary
|
12
.gitignore
vendored
@@ -1,5 +1,6 @@
|
||||
auto/
|
||||
*.tex
|
||||
_minted*
|
||||
|
||||
nohup.out
|
||||
|
||||
@@ -36,3 +37,14 @@ octave-workspace
|
||||
|
||||
# Simulink Cache
|
||||
*.slxc
|
||||
|
||||
## Build tool auxiliary files:
|
||||
*.fdb_latexmk
|
||||
*.synctex
|
||||
*.synctex(busy)
|
||||
*.synctex.gz
|
||||
*.synctex.gz(busy)
|
||||
*.pdfsync
|
||||
|
||||
.auctex-auto/
|
||||
_minted-index/
|
||||
|
145
css/htmlize.css
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.org-org-document-info { /* org-document-info */ color: #191970; }
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.org-org-document-title { /* org-document-title */ color: #191970; font-size: 144%; font-weight: bold; }
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.org-org-done { /* org-done */ color: #228b22; font-weight: bold; }
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|
1095
css/readtheorg.css
BIN
docs/Comparison.docx
Normal file
BIN
docs/Group_meeting_6.pdf
Normal file
BIN
docs/Group_meeting_6.pptx
Normal file
BIN
docs/MIMOmeetingSummary.pdf
Normal file
BIN
docs/Modal decomposition for control of MIMO system.pptx
Normal file
BIN
docs/exercise 2.pdf
Normal file
103
docs/modal_control_gravimeter_numerical.m
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|
||||
clc
|
||||
clear all
|
||||
close all
|
||||
|
||||
%% System properties
|
||||
g = 100000;
|
||||
w0 = 2*pi*.5; % MinusK BM1 tablle
|
||||
l = 0.5; %[m]
|
||||
la = 1; %[m]
|
||||
h = 1.7; %[m]
|
||||
ha = 1.7;% %[m]
|
||||
m = 400; %[kg]
|
||||
k = 15e3;%[N/m]
|
||||
kv = k;
|
||||
kh = 15e3;
|
||||
I = 115;%[kg m^2]
|
||||
dampv = 0.03;
|
||||
damph = 0.03;
|
||||
s = tf('s');
|
||||
|
||||
%% State-space model
|
||||
M = [m 0 0
|
||||
0 m 0
|
||||
0 0 I];
|
||||
|
||||
la = l;
|
||||
ha = h;
|
||||
kv = k;
|
||||
kh = k;
|
||||
|
||||
%Jacobian of the bottom sensor
|
||||
Js1 = [1 0 h/2
|
||||
0 1 -l/2];
|
||||
|
||||
%Jacobian of the top sensor
|
||||
Js2 = [1 0 -h/2
|
||||
0 1 0];
|
||||
|
||||
%Jacobian of the actuators
|
||||
Ja = [1 0 ha/2 %Left horizontal actuator
|
||||
%1 0 h/2 %Right horizontal actuator
|
||||
0 1 -la/2 %Left vertical actuator
|
||||
0 1 la/2]; %Right vertical actuator
|
||||
Jah = [1 0 ha/2];
|
||||
Jav = [0 1 -la/2 %Left vertical actuator
|
||||
0 1 la/2]; %Right vertical actuator
|
||||
Jta = Ja';
|
||||
Jtah = Jah';
|
||||
Jtav = Jav';
|
||||
K = kv*Jtav*Jav + kh*Jtah*Jah;
|
||||
C = dampv*kv*Jtav*Jav+damph*kh*Jtah*Jah;
|
||||
|
||||
E = [1 0 0
|
||||
0 1 0
|
||||
0 0 1]; %projecting ground motion in the directions of the legs
|
||||
|
||||
AA = [zeros(3) eye(3)
|
||||
-M\K -M\C];
|
||||
|
||||
BB = [zeros(3,3)
|
||||
M\Jta ];
|
||||
|
||||
% CC = [[Js1;Js2] zeros(4,3)];
|
||||
CC = [[Jah;Jav] zeros(3,3)];
|
||||
|
||||
% DD = zeros(4,3);
|
||||
DD = zeros(3);
|
||||
|
||||
G = ss(AA,BB,CC,DD);
|
||||
%% Modal coordinates
|
||||
[V,D] = eig(M\K);
|
||||
Mm = V'*M*V; % Modal mass matrix
|
||||
Dm = V'*C*V; % Modal damping matrix
|
||||
Km = V'*K*V; % Modal stiffness matrix
|
||||
|
||||
Bm = inv(Mm)*V'*Jta;
|
||||
% Cm = [Js1;Js2]*V;
|
||||
Cm = [Jah;Jav]*V;
|
||||
|
||||
|
||||
omega = real(sqrt(inv(Mm)*Km));
|
||||
zeta = real(0.5*inv(Mm)*Dm*inv(omega));
|
||||
|
||||
Gm = [1/(s^2+2*zeta(1,1)*omega(1,1)*s+omega(1,1)^2),0,0;
|
||||
0,1/(s^2+2*zeta(2,2)*omega(2,2)*s+omega(2,2)^2),0;
|
||||
0,0,1/(s^2+2*zeta(3,3)*omega(3,3)*s+omega(3,3)^2)];
|
||||
figure(1)
|
||||
bode(G,Cm*Gm*Bm)
|
||||
figure(2)
|
||||
bode(G,Gm)
|
||||
|
||||
%% Controller
|
||||
s = tf('s');
|
||||
w0 = 2*pi*0.1;
|
||||
Kc = 100/(1+s/w0);
|
||||
Knet = inv(Bm)*Kc*inv(Cm);
|
||||
Gc = -lft(G,Knet);
|
||||
isstable(Gc)
|
||||
|
||||
|
||||
|
||||
|
||||
|
BIN
docs/obpsm_design_of_the_control_law_new.pdf
Normal file
BIN
docs/svd.pptx
Normal file
BIN
figs/3dof_model_fully_parallel.pdf
Normal file
BIN
figs/3dof_model_fully_parallel.png
Normal file
After Width: | Height: | Size: 18 KiB |
BIN
figs/SP_assembly.pdf
Normal file
BIN
figs/SP_assembly.png
Normal file
After Width: | Height: | Size: 106 KiB |
BIN
figs/block_diagram_jacobian_decoupling.pdf
Normal file
BIN
figs/block_diagram_jacobian_decoupling.png
Normal file
After Width: | Height: | Size: 12 KiB |
411
figs/centralized_control.eps
Normal file
@@ -0,0 +1,411 @@
|
||||
%!PS-Adobe-3.0 EPSF-3.0
|
||||
%%Creator: cairo 1.17.3 (https://cairographics.org)
|
||||
%%CreationDate: Fri Nov 6 11:30:10 2020
|
||||
%%Pages: 1
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||||
%%DocumentData: Clean7Bit
|
||||
%%LanguageLevel: 2
|
||||
%%BoundingBox: 0 0 152 91
|
||||
%%EndComments
|
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||||
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||||
q
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103 60 34 31 re W n
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||||
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||||
q
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0 g
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||||
0.990354 w
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||||
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||||
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Q
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||||
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39.434 60.199 33 30.801 re W n
|
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q
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39 60 34 31 re W n
|
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[ 1 0 0 1 0 0 ] concat
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q
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0 g
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0.990354 w
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0 J
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|
||||
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|
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Q
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Q
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0 g
|
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|
||||
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|
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|
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Q q
|
||||
0 32.199 34.434 45 re W n
|
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q
|
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0 32 35 46 re W n
|
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[ 1 0 0 1 0 0 ] concat
|
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q
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0.990354 w
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|
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Q
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Q
|
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Q q
|
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|
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36.711 33.676 m 32.293 32 l 33.762 33.676 l 32.293 35.348 l h
|
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36.711 33.676 m f
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0.990354 w
|
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|
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|
||||
c 31.5 26.191 l 30.531 29.363 l 30.484 29.488 30.438 29.691 30.438 29.723
|
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|
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|
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33.938 25.848 c h
|
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33.938 25.848 m f
|
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Q Q
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showpage
|
||||
%%Trailer
|
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end
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%%EOF
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