diff --git a/mr/ubB/mrB.pdf b/mr/ubB/mrB.pdf index 161890d..58c697f 100644 --- a/mr/ubB/mrB.pdf +++ b/mr/ubB/mrB.pdf Binary files differ diff --git a/mr/ubB/mrB.tex b/mr/ubB/mrB.tex index 997130f..5d77ae9 100644 --- a/mr/ubB/mrB.tex +++ b/mr/ubB/mrB.tex @@ -91,15 +91,7 @@ \end{enumerate} \Aufgabe{Nonholonomic Constraints}{4} \begin{enumerate}[(a)] - \item $\vec{q}=\begin{pmatrix} - x\\y\\\theta - \end{pmatrix}, f(t,\vec{q},\dot{\vec{q}})=\begin{pmatrix} - 0&1&0 - \end{pmatrix}\begin{pmatrix} - \cos\theta&-\sin\theta&0\\ - \sin\theta&\cos\theta&0\\ - 0&0&1 - \end{pmatrix}\left(q(t)-q(t+1)\right)\\=\begin{pmatrix} + \item $f(t,\vec{q},\dot{\vec{q}})=\begin{pmatrix} 0&1&0 \end{pmatrix}\begin{pmatrix} \cos\theta&-\sin\theta&0\\ @@ -108,7 +100,8 @@ \end{pmatrix}\dot\vec q\\ =\begin{pmatrix} \sin\theta & \cos\theta & 0 - \end{pmatrix}\dot\vec q=0$ + \end{pmatrix}\dot\vec q \\ + = \dot x \sin\theta + \dot y \cos\theta\\=0$ \item nonholonomic, because the derivative of q is used\\ \end{enumerate} \Aufgabe{Reeds-Shepp-Curves}{8}