[AMR] Summarize W4 content

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2026-03-17 16:45:49 +01:00
parent 28d0696091
commit b36cb31b75
8 changed files with 39 additions and 2 deletions
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\bi{Meas. Model}: $\vec{z} = \vec{h}(\vec{x}) + \vec{v} + \vec{o}$, with $\vec{h}(\vec{x})$ deterministic mean,
$\vec{v}$ zero-mean noise, $\vec{o}$ unmodelled effects, $\vec{x}$ true state
\bi{Motor encoders} Typ. 64-2048 incrm. per rev; Estim. rot
\bi{Rolling-Shutter} Most CMOS sensors don't take full image at once, need time stamp for each row
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\subsection{GNSS}
Need ultra-precise time sync ($c \approx 0.3\; m/ns$). \bi{Errors}
\begin{itemize}
\item Multipath problem (signal bounce) (0.5 - 100m)
\item Ionosphere delays (10m)
\item Satellite pos. err, trop. delay (1m)
\end{itemize}
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\subsection{Actuators}
\bi{Hydraulic} {\color{ForestGreen} acc., easy control, power}; {\color{red} maint., speed, price}
\bi{Pneumatic} {\color{ForestGreen} price, shock abs., speed}; {\color{red} acc., loud, maint.}
\subsubsection{DC Motor}
\begin{wrapfigure}[4]{r}{0.32\columnwidth}
\includegraphics[width=0.32\columnwidth]{assets/dc-motor.png}
\end{wrapfigure}
(Kirchoff) $U_a = L_a \dot{I_a} + R_a I_a + U_i$
(Torque, Lorenz Force) $T = k_T I_a$
(Induced V, Faraday) $U_i = k_i \omega$
(Mech. pow. eq. el. pow)\\
$U_i I_a = k_i \omega I_a = T_\omega = k_T I_a \omega \Rightarrow k_i = k_T =: k$