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Lab01: Switch to Lab0x naming convension + small changes

tags/v1.0
parent
commit
d536d202f9
34 changed files with 25 additions and 7 deletions
  1. +4
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      .gitmodules
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      Lab01/Choutouridis_Christos_8997_Lab01.zip
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      Lab01/lab01_2025.pdf
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      Lab01/report/AUThReport
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      Lab01/report/Work1_report.pdf
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      Lab01/report/Work1_report.tex
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      Lab01/scripts/Problem1.m
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      Lab01/scripts/Problem2a.m
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      Lab01/scripts/Problem2b.m
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      Lab01/scripts/Problem3a.m
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      Lab01/scripts/Problem3b.m
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      Lab01/scripts/Problem3c.m
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      Lab01/scripts/output/Prob1_responce_20s.png
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      Lab01/scripts/output/Prob1_responce_90s.png
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      Lab01/scripts/output/Prob2_20s_Ts0.1.png
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      Lab01/scripts/output/Prob2b_20s_Ts0.1.png
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      Lab01/scripts/output/Prob3_Error_vs_Duration.png
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      Lab01/scripts/output/Prob3a_ComparisonPlot.png
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      Lab01/scripts/output/Prob3a_NoiseEffect.png
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      Lab01/scripts/output/Prob3a_NoiseStd0.0010.png
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      Lab01/scripts/output/Prob3a_NoiseStd0.0025.png
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      Lab01/scripts/output/Prob3b_SamplingPeriodEffect.png
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      Lab01/scripts/output/Prob3c_AmplitudeEffect.png
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      Lab01/scripts/output/problem1_data.csv
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      Lab01/scripts/output/problem3_data_T10s.csv
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      Lab01/scripts/output/problem3_data_T20s.csv
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      Lab01/scripts/output/problem3_data_T40s.csv
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      Lab01/scripts/output/problem3_data_T60s.csv
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      Lab01/scripts/output/problem3_data_T90s.csv
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      Lab01/scripts/sample_data.m
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      Work 1/report/Work1_report.pdf
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      Work 1/scripts/output/Prob1_responce_20s.png
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      Work 1/scripts/output/Prob3a_NoiseStd0.0010.png
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      Work 1/scripts/output/Prob3a_NoiseStd0.0025.png

+ 4
- 1
.gitmodules View File

@@ -1,3 +1,6 @@
[submodule "Work 1/report/AUThReport"]
path = Work 1/report/AUThReport
path = Lab01/report/AUThReport
url = ssh://git@git.hoo2.net:222/hoo2/AUThReport.git
[submodule "Lab01/report/AUThReport"]
path = Lab01/report/AUThReport
url = ssh://git@git.hoo2.net:222/hoo2/AUThReport.git

Work 1/Choutouridis_Christos_8997_Lab01.zip → Lab01/Choutouridis_Christos_8997_Lab01.zip View File


Work 1/lab01_2025.pdf → Lab01/lab01_2025.pdf View File


Work 1/report/AUThReport → Lab01/report/AUThReport View File


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Work 1/Work1_report.pdf → Lab01/report/Work1_report.pdf View File


Work 1/report/Work1_report.tex → Lab01/report/Work1_report.tex View File

@@ -98,7 +98,7 @@
\[
mL^2 \ddot{q}(t) + c \dot{q}(t) + mgL q(t) = u(t)
\]
όπου $q(t)$ είναι η γωνία του εκκρεμούς, $u(t)$ η ροπή εισόδου, και $m$, $L$, $c$, $g$ φυσικές σταθερές του συστήματος.
όπου $q(t)$ είναι η γωνία του εκκρεμούς, $u(t)$ η ροπή εισόδου, και $m$, $L$, $c$, $g$ φυσικές σταθερές του συστήματος που αντιστοιχούν στη μάζα, το μήκος του εκκρεμούς, το συντελεστή απόσβεσης και την επιτάχυνση της βαρύτητας.

Ορίζοντας ως διάνυσμα κατάστασης:
\[
@@ -218,9 +218,9 @@
\begin{tabular}{c|c|c|c|c|c}
Παράμετρος & Πραγματική Τιμή & Εκτίμηση 2α & Σφάλμα 2α (\%) & Εκτίμηση 2β & Σφάλμα 2β (\%) \\
\hline
$mL^2$ & 1.1719 & 1.1007 & $-6.07\%$ & 1.0977 & $-6.33\%$ \\
$c$ & 0.1500 & 0.1690 & $+12.7\%$ & 0.1569 & $+4.6\%$ \\
$mgL$ & 9.1969 & 8.8157 & $-4.15\%$ & 8.8002 & $-4.31\%$ \\
$mL^2$ & 1.1719 & 1.1007 & $6.07\%$ & 1.0977 & $6.33\%$ \\
$c$ & 0.1500 & 0.1690 & $12.7\%$ & 0.1569 & $4.6\%$ \\
$mgL$ & 9.1969 & 8.8157 & $4.15\%$ & 8.8002 & $4.31\%$ \\
\end{tabular}
\end{center}

@@ -262,7 +262,22 @@
\]

Η εκτίμηση έγινε με τον ίδιο τρόπο όπως στο Θέμα~2β.
Παρακάτω παρουσιάζονται τα σφάλματα εκτίμησης για κάθε παράμετρο:
Παρακάτω παρουσιάζονται τα σφάλματα εκτίμησης για κάθε παράμετρο.
\textit{Το σχετικό σφάλμα υπολογίζεται ως:}
\[
\text{Σφάλμα}_\text{σχετικό} = \left| \frac{\hat{\theta} - \theta_{\text{true}}}{\theta_{\text{true}}} \right| \times 100
\]
όπου:
\[
\theta_{\text{true}} =
\begin{bmatrix}
mL^2 \\\\ c \\\\ mgL
\end{bmatrix}, \quad
\hat{\theta} =
\begin{bmatrix}
\widehat{mL^2} \\\\ \hat{c} \\\\ \widehat{mgL}
\end{bmatrix}
\]
\begin{table}[H]
\centering
\begin{tabular}{c|cc|cc|cc}
@@ -299,7 +314,7 @@
\]

Για κάθε τιμή, πραγματοποιήθηκε εκ νέου προσομοίωση, δειγματοληψία και εκτίμηση παραμέτρων με τη μέθοδο ελαχίστων τετραγώνων, όπως περιγράφεται στο Θέμα~2β.
Παρακάτω παρουσιάζονται τα σφάλματα εκτίμησης για διαφορετικά πλάτη:
Παρακάτω παρουσιάζονται τα σφάλματα εκτίμησης για διαφορετικά πλάτη, \textit{τα οποία υπολογίζονται όπως παραπάνω}:
\begin{table}[H]
\centering
\begin{tabular}{c|cc|cc|cc}

Work 1/scripts/Problem1.m → Lab01/scripts/Problem1.m View File


Work 1/scripts/Problem2a.m → Lab01/scripts/Problem2a.m View File


Work 1/scripts/Problem2b.m → Lab01/scripts/Problem2b.m View File


Work 1/scripts/Problem3a.m → Lab01/scripts/Problem3a.m View File


Work 1/scripts/Problem3b.m → Lab01/scripts/Problem3b.m View File


Work 1/scripts/Problem3c.m → Lab01/scripts/Problem3c.m View File


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Work 1/scripts/output/Prob2_20s_Ts0.1.png → Lab01/scripts/output/Prob2_20s_Ts0.1.png View File

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Work 1/scripts/output/Prob2b_20s_Ts0.1.png → Lab01/scripts/output/Prob2b_20s_Ts0.1.png View File

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Work 1/scripts/output/Prob3_Error_vs_Duration.png → Lab01/scripts/output/Prob3_Error_vs_Duration.png View File


Work 1/scripts/output/Prob3a_ComparisonPlot.png → Lab01/scripts/output/Prob3a_ComparisonPlot.png View File


Work 1/scripts/output/Prob3a_NoiseEffect.png → Lab01/scripts/output/Prob3a_NoiseEffect.png View File


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Lab01/scripts/output/Prob3a_NoiseStd0.0010.png View File

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Lab01/scripts/output/Prob3a_NoiseStd0.0025.png View File

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Work 1/scripts/output/Prob3b_SamplingPeriodEffect.png → Lab01/scripts/output/Prob3b_SamplingPeriodEffect.png View File

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Work 1/scripts/output/Prob3c_AmplitudeEffect.png → Lab01/scripts/output/Prob3c_AmplitudeEffect.png View File

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Work 1/scripts/output/problem1_data.csv → Lab01/scripts/output/problem1_data.csv View File


Work 1/scripts/output/problem3_data_T10s.csv → Lab01/scripts/output/problem3_data_T10s.csv View File


Work 1/scripts/output/problem3_data_T20s.csv → Lab01/scripts/output/problem3_data_T20s.csv View File


Work 1/scripts/output/problem3_data_T40s.csv → Lab01/scripts/output/problem3_data_T40s.csv View File


Work 1/scripts/output/problem3_data_T60s.csv → Lab01/scripts/output/problem3_data_T60s.csv View File


Work 1/scripts/output/problem3_data_T90s.csv → Lab01/scripts/output/problem3_data_T90s.csv View File


Work 1/scripts/sample_data.m → Lab01/scripts/sample_data.m View File


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