[AMR] updated first 4.5 sections

This commit is contained in:
2026-08-08 12:31:01 +02:00
parent 7cdba7dca9
commit c1bdbc64bf
20 changed files with 103 additions and 55 deletions
@@ -11,7 +11,8 @@ $ \begin{bmatrix}
Workspace $W$: $\theta_1, \theta_2 \in [-\pi, \pi]$.
\bi{Computation} Similar for $n$R sys (more angles, more lengths).
Last dim is typically sum of angles (or equiv).
\bi{For velocity kinematics}: Comp. Jacobian of this $nD$ position ($nD$ pos is vec). ${_W}\vec{t}_{WE} \mat{J}(\vec{\theta}) \cdot \vec{\dot{\theta}}$
\bi{Jacobian}: see \ref{sec:ms-lin}.
\bi{For velocity kinematics}: See \ref{sec:manipulator-velocity-kinematics}.
% Comp. Jacobian of this $nD$ position ($nD$ pos is vec). ${_W}\vec{t}_{WE} \mat{J}(\vec{\theta}) \cdot \vec{\dot{\theta}}$
% \bi{Jacobian}: see \ref{sec:ms-lin}.
\shortdefinition[Singularity] Loss of deg of Freedom $\det(\mat{J}(\vec{\theta})) = 0$