diff --git a/electives/others/amr/autonomous-mobile-robots-cheatsheet.pdf b/electives/others/amr/autonomous-mobile-robots-cheatsheet.pdf index 63961d0..35cf1f3 100644 Binary files a/electives/others/amr/autonomous-mobile-robots-cheatsheet.pdf and b/electives/others/amr/autonomous-mobile-robots-cheatsheet.pdf differ diff --git a/electives/others/amr/parts/01_kinematics/00_intro.tex b/electives/others/amr/parts/01_kinematics/00_intro.tex index df988ac..63d1bb9 100644 --- a/electives/others/amr/parts/01_kinematics/00_intro.tex +++ b/electives/others/amr/parts/01_kinematics/00_intro.tex @@ -6,21 +6,21 @@ $_{\color{blue}\fbox{W}}\,\vec{t}\,_{\color{red}\fbox{B}} = \, _{\color{blue}\fb \shortdefinition[State vector] $x_R$: $x$, $v$ of rob in $W$, pos of sensors -\shortdefinition[Rot. Mat.] $\mat{R}_{z} = \begin{bmatrix} +\shortdefinition[Rot. Mat.] $\mat{R}_{z}(\psi) = \begin{bmatrix} c(\psi) & -s(\psi) & 0 \\ s(\psi) & c(\psi) & 0 \\ 0 & 0 & 1 \end{bmatrix}$\\ $\mat{R}_y(\theta) = \begin{bmatrix} - c(\psi) & 0 & s(\psi) \\ + c(\theta) & 0 & s(\theta) \\ 0 & 1 & 0 \\ - -s(\psi) & 0 & c(\psi) \\ - \end{bmatrix} + -s(\theta) & 0 & c(\theta) \\ + \end{bmatrix}; \mat{R}_x(\varphi) \begin{bmatrix} 1 & 0 & 0 \\ - 0 & c(\psi) & -s(\psi) \\ - 0 & s(\psi) & c(\psi) + 0 & c(\varphi) & -s(\varphi) \\ + 0 & s(\varphi) & c(\varphi) \end{bmatrix}$ \shortremark Application: ${_W} \vec{a} = \mat{R}_{WB} {_B} \vec{a}$