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template_ex4.tex
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\documentclass[a4paper,12pt,oneside,onecolumn]{article} % Document type
\usepackage[left=1.0in, right=1.0in, top=1.0in, bottom=1.0in]{geometry}
\usepackage{fontspec}
\setmainfont{cmr12}
\usepackage{amsmath,amssymb} % Contains mathematical symbols
\usepackage{xltxtra}
\defaultfontfeatures{Ligatures=TeX}
\usepackage[english]{babel} % Language
\usepackage[square,numbers]{natbib} %Nice numbered citations
\bibliographystyle{plainnat} %Sorted bibliography
\usepackage{float}
\usepackage{pgfplots}
\usepackage{tikz}
\usepackage{lscape}
\usepackage{graphicx}
\usepackage{pstricks}
\usepackage{subfigure}
\usepackage{multicol}
\usepackage{caption}
\usepackage{rotating}
\usepackage{lastpage}
\usepackage{slantsc}
\usepackage{lmodern}
\usepackage{fancyhdr}
\pagestyle{fancy}
\lhead{Filotheou}
\rhead{EL2520}
\chead{DECOUPLING &
GLOVER-MCFARLANE ROBUST
LOOP-SHAPING}
\rfoot{Page \thepage\ of \pageref{LastPage}}
\cfoot{}
\renewcommand{\footrulewidth}{0.4pt}
\title{
Computer Exercise 4\\
EL2520 Control Theory and Practice
}
\author{
}
\newcommand{\image}[3][width=1.0\columnwidth]{
\begin{figure}[h!]
\centering
\includegraphics[#1]{#2}
\caption{#3}
\label{fig:#2}
\end{figure}
}
\newcommand{\imaget}[3][width=1.0\columnwidth]{
\begin{figure}[H]
\centering
\input{#2}
\caption{#3}
\label{fig:#2}
\end{figure}
}
\begin{document}
\maketitle
% Minimum phase case
\section*{Minimum phase case}
\subsection*{Dynamic decoupling}
The dynamic decoupling in exercise 3.2.1 is
\[
W(s)=
\begin{bmatrix}
1 & -dfrac{0.01476}{s + 0.0213} \\
-dfrac{0.01336}{s + 0.02572} & 1 \\
\end{bmatrix}
\]
%\imaget{figures/bode_mp.tex}{Bode diagram of $\tilde{G}(s)$ derived in exercise 3.2.1}
%\imaget{figures/response_mp.tex}{Simulink plots from exercise 3.2.4}
Is the controller good?
\par\dotfill\par\dotfill\par
Are the output signals coupled?
\par\dotfill\par\dotfill
\subsection*{Glover-MacFarlane robust loop-shaping}
%\image{figure_3.pdf}{Simulink plots from exercise 3.3.4}
What are the similarities and differences compared to the nominal design?
\par\dotfill\par\dotfill
% Non-minimum phase case
\section*{Non-minimum phase case}
\subsection*{Dynamic decoupling}
The dynamic decoupling in exercise 3.2.1 is
\[
W(s) = \ldots
\]
%\imaget{figures/bode_nmp.tex}{Bode diagram of $\tilde{G}(s)$ derived in exercise 3.2.1}
%\imaget{figures/response_nmp.tex}{Simulink plots from exercise 3.2.4}
Is the controller good?
\par\dotfill\par\dotfill\par
Are the output signals coupled?
\par\dotfill\par\dotfill
\subsection*{Glover-MacFarlane robust loop-shaping}
%\image{figure_6.pdf}{Simulink plots from exercise 3.3.4}
What are the similarities and differences compared to the nominal design?
\par\dotfill\par\dotfill
\end{document}