update docs

This commit is contained in:
Atsushi Sakai
2018-12-12 22:34:18 +09:00
parent 4220c6db40
commit 90598716fb
2 changed files with 3 additions and 3 deletions

View File

@@ -124,8 +124,8 @@
"$\\begin{equation*}\n",
"B=\n",
"\\begin{bmatrix}\n",
"sin(\\phi)dt & 0\\\\\n",
"cos(\\phi)dt & 0\\\\\n",
"sin(\\phi)dt & 0\\\\\n",
"0 & dt\\\\\n",
"1 & 0\\\\\n",
"\\end{bmatrix}\n",

View File

@@ -91,7 +91,7 @@ where
:math:`\begin{equation*} F= \begin{bmatrix} 1 & 0 & 0 & 0\\ 0 & 1 & 0 & 0\\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 \\ \end{bmatrix} \end{equation*}`
:math:`\begin{equation*} B= \begin{bmatrix} sin(\phi)dt & 0\\ cos(\phi)dt & 0\\ 0 & dt\\ 1 & 0\\ \end{bmatrix} \end{equation*}`
:math:`\begin{equation*} B= \begin{bmatrix} cos(\phi)dt & 0\\ sin(\phi)dt & 0\\ 0 & dt\\ 1 & 0\\ \end{bmatrix} \end{equation*}`
:math:`dt` is a time interval.
@@ -102,7 +102,7 @@ Its Jacobian matrix is
:math:`\begin{equation*} J_F= \begin{bmatrix} \frac{dx}{dx}& \frac{dx}{dy} & \frac{dx}{d\phi} & \frac{dx}{dv}\\ \frac{dy}{dx}& \frac{dy}{dy} & \frac{dy}{d\phi} & \frac{dy}{dv}\\ \frac{d\phi}{dx}& \frac{d\phi}{dy} & \frac{d\phi}{d\phi} & \frac{d\phi}{dv}\\ \frac{dv}{dx}& \frac{dv}{dy} & \frac{dv}{d\phi} & \frac{dv}{dv}\\ \end{bmatrix} \end{equation*}`
:math:`\begin{equation*}  = \begin{bmatrix} 1& 0 & -v sin(\phi)dt & cos(\phi)dt\\ 0 & 1 & v cos(\phi)dt & sin(\phi) dt\\ 0 & 0 & 1 & 0\\ 0 & 0 & 0 & 1\\ \end{bmatrix} \end{equation*}`
:math:`\begin{equation*}  = \begin{bmatrix} 1& 0 & -v cos(\phi)dt & sin(\phi)dt\\ 0 & 1 & v cos(\phi)dt & sin(\phi) dt\\ 0 & 0 & 1 & 0\\ 0 & 0 & 0 & 1\\ \end{bmatrix} \end{equation*}`
Observation Model
~~~~~~~~~~~~~~~~~