From 5e17867857538c60341912a2c46dac72a1adefe5 Mon Sep 17 00:00:00 2001 From: Christos Choutouridis Date: Sun, 26 Oct 2025 00:28:24 +0300 Subject: [PATCH] HW2: Assignment 2 added --- .gitmodules | 3 + Work 1/report/Work1_report.pdf | Bin 1313176 -> 1313257 bytes Work 1/report/Work1_report.tex | 4 +- Work 2/report/.gitignore | 6 + Work 2/report/AUThReport | 1 + Work 2/report/Work2_report.pdf | Bin 0 -> 466283 bytes Work 2/report/Work2_report.tex | 209 +++++++++++++++++++++++++ Work 2/report/img/FLC_Rules.png | Bin 0 -> 87526 bytes Work 2/report/img/Terain.png | Bin 0 -> 55044 bytes Work 2/source/.gitignore | 3 + Work 2/source/CarFLC.fis | 73 +++++++++ Work 2/source/CarMovement_theta-45.png | Bin 0 -> 36832 bytes Work 2/source/CarMovement_theta0.png | Bin 0 -> 35865 bytes Work 2/source/CarMovement_theta45.png | Bin 0 -> 36179 bytes Work 2/source/FLC_surface.png | Bin 0 -> 284068 bytes Work 2/source/FLC_surface_edit.png | Bin 0 -> 128681 bytes Work 2/source/mkFIS.m | 77 +++++++++ Work 2/source/moveCar.m | 15 ++ Work 2/source/runSimulation.m | 88 +++++++++++ Work 2/source/wallDistance.m | 45 ++++++ 20 files changed, 522 insertions(+), 2 deletions(-) create mode 100644 Work 2/report/.gitignore create mode 160000 Work 2/report/AUThReport create mode 100644 Work 2/report/Work2_report.pdf create mode 100644 Work 2/report/Work2_report.tex create mode 100644 Work 2/report/img/FLC_Rules.png create mode 100644 Work 2/report/img/Terain.png create mode 100644 Work 2/source/.gitignore create mode 100644 Work 2/source/CarFLC.fis create mode 100644 Work 2/source/CarMovement_theta-45.png create mode 100644 Work 2/source/CarMovement_theta0.png create mode 100644 Work 2/source/CarMovement_theta45.png create mode 100644 Work 2/source/FLC_surface.png create mode 100644 Work 2/source/FLC_surface_edit.png create mode 100644 Work 2/source/mkFIS.m create mode 100644 Work 2/source/moveCar.m create mode 100644 Work 2/source/runSimulation.m create mode 100644 Work 2/source/wallDistance.m diff --git a/.gitmodules b/.gitmodules index 7164337..022ac4b 100644 --- a/.gitmodules +++ b/.gitmodules @@ -1,3 +1,6 @@ [submodule "Work 1/report/AUThReport"] path = Work 1/report/AUThReport url = ssh://git@git.hoo2.net:222/hoo2/AUThReport.git +[submodule "Work 2/report/AUThReport"] + path = Work 2/report/AUThReport + url = ssh://git@git.hoo2.net:222/hoo2/AUThReport.git diff --git a/Work 1/report/Work1_report.pdf b/Work 1/report/Work1_report.pdf index 81370950ee8414a567601bddc374b20abe45889a..4d311ac6e323a2f246db74120afc9f3d02c3a0d1 100644 GIT binary patch delta 31749 zcmY(KLzrg4(yhz3ZQHhO+qV6cZQHhO+cvt`Wpugv_Ib`7oPY3+_GCYi5i4^=WM-x) zU8X2Cy6XYhxdjAZT-{vEjqPE)w#(F~99D&p`kv6gK|QLwebOWZh@`+e3cH9A+AYIX zLl6HV_Fj#hAQ43sD_3prwe{5w(*!Lr14DCXcKfxc#4LIWOAv! zN-pQ)D{PTa29rT9&+RaX`np|3RjnswP|Y?0~7a*s{mW|Ryb&K|O` z_1b_Qi0=2C9J8mB5wnvbYdUuRUgSFRx*T2R^l_wGMsO$7cB$mC<9hNe1+xq>k9^_7 zn8!j(E_oc5p1IBXY*0wZTCmI^yW90eN?0p{nz2*3;5Kqj+fxtn-Ok&JfnpDjDE92) 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Τομέας Ηλεκτρονικής} \ClassName{Ασαφή Συστήματα (Υπολογιστική Νοημοσύνη)} @@ -87,7 +87,7 @@ \section{Εισαγωγή} -Στην εργασία αυτή εξετάζεται ο έλεγχος του συστήματος +Στην εργασία αυτή (Σειρά 15), εξετάζεται ο έλεγχος του συστήματος $G_p(s)=\frac{10}{(s+1)(s+9)}$ με δύο προσεγγίσεις: (i) κλασικός PI και (ii) ασαφής ελεγκτής τύπου Fuzzy–PI (Mamdani). Στόχος είναι η ικανοποίηση προδιαγραφών μεταβατικής απόκρισης (υπερύψωση, χρόνος ανόδου/αποκατάστασης) και η σύγκριση της ικανότητας παρακολούθησης αναφορών. diff --git a/Work 2/report/.gitignore b/Work 2/report/.gitignore new file mode 100644 index 0000000..16091e6 --- /dev/null +++ b/Work 2/report/.gitignore @@ -0,0 +1,6 @@ +# LaTeX auxiliary files +*.aux +*.log +*.out +*.synctex.gz + diff --git a/Work 2/report/AUThReport b/Work 2/report/AUThReport new file mode 160000 index 0000000..74ec4b5 --- /dev/null +++ b/Work 2/report/AUThReport @@ -0,0 +1 @@ +Subproject commit 74ec4b5f6c66382e5f1b6d2e6930897e4ed53ea6 diff --git a/Work 2/report/Work2_report.pdf b/Work 2/report/Work2_report.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ae28018a1f619fd35cbe87e09b1446f1c8c4499d GIT binary patch literal 466283 zcmbTd18`+u^fegUwr$(CZKq@F#kM;g+qTV)I!4E~?PSuw|4dEI)K_2COx3+r=c3MD zcipr1J?p%;$d$w-=$RSVVaWHdFP>r8iI|8SOsrw}_!!l^9L*WE6iuwnOIsY--LZX6|lfYA)$)?8PWz 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+\DocSubTitle{Car Control - Σειρά 3} + +\Department{Τμήμα ΗΜΜΥ. Τομέας Ηλεκτρονικής} +\ClassName{Ασαφή Συστήματα (Υπολογιστική Νοημοσύνη)} + +\InstructorName{Θεοχάρης Ιωάννης} +\InstructorMail{theochar@ece.auth.gr} + +\CoInstructorName{Χαδουλός Χρήστος} +\CoInstructorMail{christgc@auth.gr} + + +\usepackage{float} +\usepackage{minted} +\usepackage{xcolor} % +\usepackage{amsmath, amssymb, amsfonts} +\usepackage{diagbox} +%\usepackage{tabular} + +\setminted[cpp]{ + fontsize=\small, + breaklines, + autogobble, + baselinestretch=1.1, + tabsize=2, + numbersep=8pt, + gobble=0 +} + +\newcommand{\repo}{https://git.hoo2.net/hoo2/FuzzySystems/src/branch/master/Work\%202} + +\begin{document} + +% Request a title page or header +\InsertTitle +%\InsertTitle[img/background.png][0.8\textwidth][2cm] + +\section{Εισαγωγή} + +Στην παρούσα εργασία σχεδιάστηκε και αξιολογήθηκε ένας \textbf{ελεγκτής ασαφούς λογικής (FLC)} τύπου Mamdani για το πρόβλημα \textit{Car Control} (Σειρά~3). Το όχημα κινείται σε επίπεδο με \emph{σκαλοπάτια}/εμπόδια και στόχος είναι να ακολουθεί μια ασφαλή τροχιά, λαμβάνοντας ως πληροφορία μόνο τις \emph{αποστάσεις από τα εμπόδια} και τον \emph{προσανατολισμό} του. + +Ο ελεγκτής υλοποιεί κανόνες της μορφής +\[ + \text{IF } d_V \text{ is } \{S,M,L\} \text{ AND } d_H \text{ is } \{S,M,L\} \text{ AND } \theta \text{ is } \{N,ZE,P\} \text{ THEN } \Delta\theta \text{ is } \{N,ZE,P\}, +\] +με τελεστές $ \mathrm{AND}:\min $, $ \mathrm{OR}:\max $, συνεπαγωγή $\min$, σύνθεση/συσσώρευση $\mathrm{sum}$ και αποασαφοποίηση $\mathrm{centroid}$ (COA), όπως ζητείται. + +Η ανάπτυξη έγινε σε \textit{MATLAB}. +Το FIS δημιουργήθηκε μέσω του \textit{Fuzzy Logic Designer} (GUI) και αποθηκεύτηκε σε αρχείο \texttt{.fis}. +Η προσομοίωση της κίνησης και η παραγωγή των αποτελεσμάτων έγιναν προγραμματιστικά. + + +\subsection{Παραδοτέα} +Τα παραδοτέα της εργασίας αποτελούνται από: +\begin{itemize} + \item Την παρούσα αναφορά. + \item Τον κατάλογο \textbf{source}, με τον κώδικα της matlab. + \item Το \href{\repo}{σύνδεσμο με το αποθετήριο} που περιέχει τον κώδικα της matlab καθώς και αυτόν της αναφοράς. +\end{itemize} + +\section{Υλοποίηση} +Πριν τη στοχοθετημένη αξιολόγηση, περιγράφεται συνοπτικά η αρχιτεκτονική της υλοποίησης. +Στόχος μας ήταν ένα \emph{αυτοτελές} σενάριο προσομοίωσης που να συνδυάζει: +\begin{itemize} + \item Ένα "νοητό" περιβάλλον με σκαλοπάτια/τοίχους + \item Την κινηματική του οχήματος + \item Τον ασαφή ελεγκτή. +\end{itemize} + +Στο σχήμα \ref{fig:fcl_surface} φαίνεται το περιβάλλον της εργασίας. +\InsertFigure{!ht}{0.65}{fig:fcl_surface}{img/Terain.png}{Απεικόνιση του περιβάλλοντος με σκιασμένες περιοχές.} + +Για να διατηρηθεί καθαρή διεπαφή, το περιβάλλον και η κινηματική ενσωματώθηκαν σε δύο βοηθητικές συναρτήσεις, ενώ ο ελεγκτής ορίστηκε σε ανεξάρτητη συνάρτηση/αντικείμενο FIS. +Η προσομοίωση εκτελείται από ένα κύριο script που διακρητοποιεί τον χρόνο, τροφοδοτεί τον ελεγκτή με μετρήσεις και ενημερώνει την κατάσταση. + +\subsection{\texttt{wallDistance}} + +Η \texttt{wallDistance($corners,x,y$)} υλοποιεί τον ``αισθητήρα'' του περιβάλλοντος. +Δεδομένων των \emph{γωνιών} που ορίζουν τα σκαλοπάτια (πίνακας \texttt{corners} με σημεία $(x_i, y_i)$), υπολογίζει: +\begin{itemize} + \item $d_h$: την \emph{οριζόντια} απόσταση μέχρι τον επόμενο τοίχο στα δεξιά του οχήματος ($x$-διεύθυνση), + \item $d_v$: την \emph{κάθετη} απόσταση μέχρι τον πλησιέστερο ``πάτο'' κάτω από το όχημα ($y$-διεύθυνση). +\end{itemize} +Ο αλγόριθμος ταξινομεί κατάλληλα τα \texttt{corners} (με \texttt{sortrows}) και επιλέγει τα \emph{ενεργά} τμήματα τοίχων ανάλογα με την τρέχουσα θέση $(x,y)$. +Τιμές $d_h,d_v \le 0$ αντιστοιχούν σε σύγκρουση, ενώ $\infty$ δηλώνει απουσία τοίχου προς την εξεταζόμενη κατεύθυνση. +Οι μετρήσεις κατόπιν \emph{κορεσμού} $[0,1]$ χρησιμοποιούνται αυτούσιες ως είσοδοι του FIS, όπως ορίζει η εκφώνηση. + +\subsection{\texttt{moveCar}} +Η \texttt{moveCar($x,y,\theta,\Delta\theta$)} υλοποιεί τη στοιχειώδη κινηματική: πρώτα εφαρμόζεται η διόρθωση γωνίας $\theta \leftarrow \theta+\Delta\theta$, έπειτα ενημερώνεται η θέση +\[ + x \leftarrow x + v\,T_s \cos(\theta), \quad + y \leftarrow y + v\,T_s \sin(\theta), +\] +με σταθερό μέτρο ταχύτητας $v$ και περίοδο δειγματοληψίας $T_s$. +Η γωνία χρησιμοποιείται σε \emph{μοίρες} ώστε να είναι συμβατή με τα διαστήματα της εκφώνησης. + +\subsection{\texttt{carFLC}} +Ο ασαφής ελεγκτής είναι Mamdani με: +\begin{itemize} + \item \textbf{Εισόδους:} $d_h\in[0,1]$, $d_v\in[0,1]$, $\theta\in[-180,180]$ (μοίρες). + \item \textbf{Έξοδο:} $\Delta\theta\in[-130,130]$ (μοίρες). +\end{itemize} +Για $d_h,d_v$ χρησιμοποιούνται τριγωνικές MF $\{S,M,L\}$, ενώ για $\theta$ και $\Delta\theta$ οι MF $\{N,ZE,P\}$ όπως δίνονται στην εκφώνηση. +Οι τελεστές είναι: +\[ + \mathrm{AND}=\min,\quad \mathrm{OR}=\max,\quad \mathrm{Implication}=\min,\quad + \mathrm{Aggregation}=\mathrm{sum},\quad \mathrm{Defuzzification}=\mathrm{centroid}. +\] +Το \texttt{.fis} δημιουργήθηκε με το \emph{Fuzzy Logic Designer} και αποθηκεύτηκε ως \texttt{CarFLC.fis}. +Στο σχήμα \ref{fig:fcl_rules} φαίνεται ένα στηγμιότηπο με τους κανόνες που χρησιμοποιήθηκαν για τον ελεγκτή. +Δυστυχώς, από την προηγούμενη εργασία μέχρι και αυτή, δεν προλάβαμε να γίνουμε ειδικοί, επομένως οι κανόνες βασίζονται και πάλι στη δική μας "φτωχή" προσέγγιση. + +\InsertFigure{!ht}{0.95}{fig:fcl_rules}{img/FLC_Rules.png}{Ενδεικτικό στιγμιότυπο κανόνων.} + +Στο σχήμα \ref{fig:fcl_surface} βλέπουμε και την επιφάνεια των κανόνων ως συνάρτηση των εισόδων των αποστάσεων. + +\InsertFigure{!ht}{0.7}{fig:fcl_surface}{../source/FLC_surface_edit.png}{Ενδεικτική επιφάνεια βάσης κανόνων ($\Delta\theta$ ως συνάρτηση δύο εισόδων).} + +\subsection{\texttt{runSimulation}} +Το κύριο script εκτελεί την προσομοίωση: για κάθε χρονικό βήμα καλεί διαδοχικά \texttt{wallDistance} $\rightarrow$ \texttt{evalfis} $\rightarrow$ \texttt{moveCar}, αποθηκεύοντας την τροχιά. +Η διαδικασία επαναλαμβάνεται για τις τρεις αρχικές γωνίες $\theta_0\in\{-45^\circ,0^\circ,45^\circ\}$. +Στην δική μας έκδοση το όχημα εκκινεί από τη θέση $(x_{init},y_{init}) = (3.8, 0.5)$. +Η εκτέλεση τερματίζει είτε σε σύγκρουση (οριακή τιμή $d_H$ ή $d_V\le0$) είτε όταν το όχημα φτάσει στο $(x_d,y_d) = (10, 3.2)$. + +\section{Ζητούμενα} +Τα ζητούμενα (τροχιές για διαφορετικές αρχικές γωνίες) παράγονται αυτόματα από το \texttt{runSimulation} και αποθηκεύονται ως εικόνες. +Παρακάτω παρατίθενται οι τροχιές από την εκτέλεση του script. + +\InsertFigure{!ht}{0.85}{fig:car_track_min45}{../source/CarMovement_theta-45.png}{Πορεία οχήματος για αρχική γωνία $\theta_0=-45^\circ$.} +\InsertFigure{!ht}{0.85}{fig:car_track_0}{../source/CarMovement_theta0.png}{Πορεία οχήματος για αρχική γωνία $\theta_0=0^\circ$.} +\InsertFigure{!ht}{0.85}{fig:car_track_45}{../source/CarMovement_theta45.png}{Πορεία οχήματος για αρχική γωνία $\theta_0=45^\circ$.} + + +\subsection{Σχολιασμός} +Η λειτουργία του ελεγκτή είναι \emph{σταθερή} και \emph{ομαλή}: παρατηρούνται ομαλές καμπύλες χωρίς απότομες γωνίες, καθώς οι MF επικάλυψης εξομαλύνουν τις μεταβάσεις κανόνων. +Η σύγκλιση προς το επιθυμητό $x_d$ επιτυγχάνεται και στις τρεις περιπτώσεις, με την τροχιά να ακολουθεί πρακτικά τα εμπόδια. + +Ωστόσο, η συμπεριφορά δεν είναι ιδανική για δύο λόγους: +\begin{enumerate} + \item Ο ελεγκτής \textbf{δεν} λαμβάνει άμεση πληροφορία για το \emph{στόχο} ($x_d,y_d$). + Bασίζεται μόνο στις αποστάσεις από εμπόδια και στη γωνία, άρα η κάθετη διόρθωση ($y$) δεν ``οδηγείται'' ρητά από το σφάλμα έως τον στόχο. + \item Οι αποστάσεις $d_h,d_v$ \textbf{ψαλιδισμένες} στο $[0,1]$ περιορίζουν τη δυναμική περιοχή (lossy αισθητηριακή πληροφορία σε μεγάλες αποστάσεις), κάτι που επιβαρύνει την προσέγγιση ειδικά σε ύψος. +\end{enumerate} +Παρά τους περιορισμούς, ο FLC επιτυγχάνει αποφυγή εμποδίων και καλή ευθυγράμμιση με χαμηλό υπολογιστικό κόστος και υψηλή ερμηνευσιμότητα κανόνων. + +\section {Συμπεράσματα} +Αναπτύξαμε έναν Mamdani FLC για το πρόβλημα \textit{Car Control} (Σειρά~3) με εισόδους $(d_h,d_v,\theta)$ και έξοδο $\Delta\theta$. Ο ελεγκτής, με κανόνες τύπου IF--THEN και COA αποασαφοποίηση, κατεύθυνε το όχημα με ομαλές τροχιές, αποφεύγοντας τα εμπόδια και επιτυγχάνοντας τη μετάβαση στο επιθυμητό επίπεδο. +\textbf{Στα θετικά}, είχαμε την ομαλότητα ελέγχου, ερμηνευσιμότητα κανόνων, επαναληψιμότητα σε διαφορετικές αρχικές γωνίες, απλή παραμετροποίηση. +\textbf{Στα αρνητικά}, είχαμε την έλλειψη ρητής πληροφορίας στόχου $(x_d,y_d)$, περιορισμένη δυναμική πληροφορία αποστάσεων λόγω κορεσμού $[0,1]$. + + +Θεωρούμε πως το σύστημα θα βελτιωνόταν αρκετά με: +\begin{itemize} + \item Προσθήκη επιπλέον εισόδου με σφάλμα προς τον στόχο (πχ.\ $e_x=x_d-x,\ e_y=y_d-y$), + \item Ανακλιμάκωση ή προσαρμοστικό κορεσμό των αποστάσεων, + \item Χρήση υβριδικού ελεγκτής (FLC για αποφυγή εμποδίων + PD/TSK για καθοδήγηση στον στόχο). +\end{itemize} + +\end{document} diff --git a/Work 2/report/img/FLC_Rules.png b/Work 2/report/img/FLC_Rules.png new file mode 100644 index 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zCX1)y7T_Eom==A04UxXShJ#Q8S6m4w^tAns+owP)HXgD zD;ExEd*-`@Uz0X}5rC;tdgd&?cN%YB!8G7T{jL4JE6KayT+_?y6Dowr#{{8S_tKsn3MyqUF$G&l!`qex%=K1s*+R5#q}2pTd}XG~9nnX! z41=qpG*g>~ND#A49$sG`NTcvEoERFk(O~nupOQkl=DYIg2-6pP`3b+d01Ed}kY>xka{%Xge{^=ji%HTI)##b7iOCt+ zVv9HH`->1;=S`Swe&BDJSNJ-ZKFjS}GGG%pz~BPf1}Zs>_)gGfa1+YXY|dFh(GCj_ zr=X>KsnvHOChZF%`vqF^dx`q*UzC<)1q8k{sB@7E0i3q5K=pJnx#4Fe>(QU46-X8D z*DdGXdKajn*_gy=vomamfis +% - defuzzMethod='cos' -> AggregationMethod="sum", DefuzzificationMethod="centroid" +fis = mamfis( ... + AndMethod="min", ... + OrMethod="max", ... + ImplicationMethod="min", ... + AggregationMethod="sum", ... + DefuzzificationMethod="centroid" ); + +% Inputs +fis = addInput(fis,[0 1],'Name','dh'); +fis = addMF(fis,'dh','trimf',[0 0 0.5],'Name','S'); +fis = addMF(fis,'dh','trimf',[0 0.5 1],'Name','M'); +fis = addMF(fis,'dh','trimf',[0.5 1 1],'Name','L'); + +fis = addInput(fis,[0 1],'Name','dv'); +fis = addMF(fis,'dv','trimf',[0 0 0.5],'Name','S'); +fis = addMF(fis,'dv','trimf',[0 0.5 1],'Name','M'); +fis = addMF(fis,'dv','trimf',[0.5 1 1],'Name','L'); + +fis = addInput(fis,[-180 180],'Name','theta'); +fis = addMF(fis,'theta','trimf',[-180 -180 0],'Name','N'); +fis = addMF(fis,'theta','trimf',[-180 0 180],'Name','ZE'); +fis = addMF(fis,'theta','trimf',[ 0 180 180],'Name','P'); + +% Output +fis = addOutput(fis,[-130 130],'Name','dtheta'); +fis = addMF(fis,'dtheta','trimf',[-130 -130 0],'Name','N'); +fis = addMF(fis,'dtheta','trimf',[-130 0 130],'Name','ZE'); +fis = addMF(fis,'dtheta','trimf',[ 0 130 130],'Name','P'); + +% Rules + +fis = addRule(fis, "IF theta IS N dh IS S AND dv IS S AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS N dh IS S AND dv IS M AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS N dh IS S AND dv IS L AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS N dh IS M AND dv IS S AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS N dh IS M AND dv IS M AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS N dh IS M AND dv IS L AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS N dh IS L AND dv IS S AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS N dh IS L AND dv IS M AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS N dh IS L AND dv IS L AND THEN dtheta IS P"); + + +fis = addRule(fis, "IF theta IS ZE dh IS S AND dv IS S AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS ZE dh IS S AND dv IS M AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS ZE dh IS S AND dv IS L AND THEN dtheta IS P"); +fis = addRule(fis, "IF theta IS ZE dh IS M AND dv IS S AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS ZE dh IS M AND dv IS M AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS ZE dh IS M AND dv IS L AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS ZE dh IS L AND dv IS S AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS ZE dh IS L AND dv IS M AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS ZE dh IS L AND dv IS L AND THEN dtheta IS ZE"); + + +fis = addRule(fis, "IF theta IS P dh IS S AND dv IS S AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS P dh IS S AND dv IS M AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS P dh IS S AND dv IS L AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS P dh IS M AND dv IS S AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS P dh IS M AND dv IS M AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS P dh IS M AND dv IS L AND THEN dtheta IS N"); +fis = addRule(fis, "IF theta IS P dh IS L AND dv IS S AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS P dh IS L AND dv IS M AND THEN dtheta IS ZE"); +fis = addRule(fis, "IF theta IS P dh IS L AND dv IS L AND THEN dtheta IS N"); + + +writeFIS(fis,'CarFLC'); + +f1 = figure('Name','FLC surface'); gensurf(fis); grid on; +exportgraphics(f1, sprintf('FLC_surface.png'), 'Resolution', 300); diff --git a/Work 2/source/moveCar.m b/Work 2/source/moveCar.m new file mode 100644 index 0000000..2aada4e --- /dev/null +++ b/Work 2/source/moveCar.m @@ -0,0 +1,15 @@ +function [x_new, y_new, theta_new] = moveCar(x, y, theta, dtheta) +%MOVECAR updates car's position based on previous state +% Detailed explanation goes here + +global Speed_mag; +global Ts; + + +% Stear and then calculate the new position +theta_new = theta + dtheta; + +x_new = x + Speed_mag * Ts * cos(toRadians("degrees", theta_new)); +y_new = y + Speed_mag * Ts * sin(toRadians("degrees", theta_new)); + +end diff --git a/Work 2/source/runSimulation.m b/Work 2/source/runSimulation.m new file mode 100644 index 0000000..ae78d81 --- /dev/null +++ b/Work 2/source/runSimulation.m @@ -0,0 +1,88 @@ +%% Car - Simulation +% +% Assignment 2 in Fuzzy systems +% +% author: +% Christos Choutouridis ΑΕΜ 8997 +% cchoutou@ece.auth.gr +% +clear; clc; close all; + +global Speed_mag; +global Ts; + + +% Configuration +% ---------------------- +Speed_mag = 0.05; +Ts = 1; + +% Givents +% ---------------------- +corners = [5 1 ; 6 2 ; 7 3]; +x_init = 3.8; +y_init = 0.5; +x_final = 10; +y_final = 3.2; +theta_init = [-45 0 45]; + + +% Saturation between min: m and max: M +sat = @(x, m, M) max(m, min(M, x)); + +% Load control +flc = readfis('CarFLC'); + +t = 0:Ts:250; +for i = 1:length(theta_init) + x = x_init; + y = y_init; + theta = theta_init(i); + + X = zeros(size(t)); + Y = zeros(size(t)); + + End=length(t); + for k=1:End + [dh, dv] = wallDistance(corners, x, y); + if isfinite(dh) && ~isfinite(dv) && (dh <=0 || dv <= 0) + End = k-1; + fprintf('Car crashed!! - Stop simulation'); + break; + end + + dtheta = evalfis(flc, [sat(dh, 0, 1) sat(dv, 0, 1) theta]); + [x, y, theta] = moveCar(x, y, theta, dtheta); + X(k) = x; Y(k) = y; + + if x >= x_final + End = k-1; + break; + end + end + + figure(i); clf; hold on; grid on; axis equal; + xlim([2 11]); ylim([-1 4]); + xlabel('x [m]'); ylabel('y [m]'); + title( ... + "Car movement $(\theta_0 =" + theta_init(i)+ "^{\circ})$", ... + 'Interpreter','latex', ... + 'FontSize', 16); + + % Walls + fill([5 6 6 5],[0 0 1 1],[0.5 0.5 0.5],'FaceAlpha',0.4,'EdgeColor','none'); + fill([6 7 7 6],[0 0 2 2],[0.5 0.5 0.5],'FaceAlpha',0.4,'EdgeColor','none'); + fill([7 10 10 7],[0 0 3 3],[0.5 0.5 0.5],'FaceAlpha',0.4,'EdgeColor','none'); + + plot(X(1:End), Y(1:End), '-', 'LineWidth', 1.5); + + hold on; + plot(X(1), Y(1), 'go', 'MarkerFaceColor', 'g'); % begin + plot(X(End), Y(End), 'ro', 'MarkerFaceColor', 'r'); % end + hold off; + + filename = sprintf('CarMovement_theta%d.png', theta_init(i)); + saveas(gcf, filename); +end + + diff --git a/Work 2/source/wallDistance.m b/Work 2/source/wallDistance.m new file mode 100644 index 0000000..6295279 --- /dev/null +++ b/Work 2/source/wallDistance.m @@ -0,0 +1,45 @@ +function [dh, dv] = wallDistance(corners, x, y) +% Calculates the distances from the walls. +% - Negative value means colision +% - Inf value means no wall in this direction +% +% Inputs: +% corners[] : corner matrix (each line is a corner point) +% x: Car's x position +% y: Car's y position +% Outputs: +% dh: Horizontal distance from wall +% dv: Vertical distance from wall + + % Calculate the distances in the x direction + srt_corners = sortrows(corners, 2); + active_corners = -Inf(size(corners)); + + for i=1:length(srt_corners) + if srt_corners(i, 2) >= y + active_corners = srt_corners(i:end, :); + break; + end + end + dx = active_corners(:, 1) - x; % Walls are on the right + dh = min(dx); % Minimum distance in x direction + + % Calculate the distances in the y direction + srt_corners = sortrows(corners, 1, 'descend'); + active_corners = -Inf(size(corners)); + + for i=1:length(srt_corners) + if srt_corners(i, 1) <= x + active_corners = srt_corners(i:end, :); + break; + end + end + dy = y - active_corners(:, 2); % Walls are on the bottom + dv = min(dy); % Minimum distance in y direction + + if ~isfinite(dh) dh = Inf; end + if ~isfinite(dv) dv = Inf; end +end + + +