Questions tagged [matrix]
The matrix tag has no usage guidance.
9
questions
1
vote
2answers
72 views
Equations of motion in matrix form and energy consumption
I am working on Lagrangian derived high-dimensional motion equations for a robot in matrix form. The structure of such an equation is known:
$M(q)\ddot{q}+C(q,\dot{q})\dot{q}+G(q)=0$
In here, $M(q)$, $...
1
vote
1answer
88 views
Matrix Algebra vs Trigonometry for Inverse Kinematics
What method is “better” for solving inverse kinematics for a robot arm: matrix algebra or trigonometry?
To define “better”:
efficiency/performance vs memory usage
generality (how well can it be ...
0
votes
0answers
24 views
How to compute linear speed on scooter without gps and wheel odometry
My project is to be able to compute my linear speed on my scooter only with my IMU.
I have a IMU build with my arduino which is in my backpack.
I want first to compensate the acceleration measurement ...
0
votes
1answer
24 views
calculation sequences when using RPY-transformation vs Euler-transformation
I have trouble understanding calculation sequences for RPY-transformation and Euler-transformation.
Let's assume that there are 3 (rotation/translation) instructions.
I will notate transformation ...
-1
votes
1answer
132 views
The modulus of each columns of the rotation matrix is
The modulus of each columns of the rotation matrix is
1, 0.5, 0.866 or 1.366
which one is correct?
1
vote
1answer
205 views
Questions about time derivative of jacobian matrix
I find that in some robotic toolboxs(e.g. FROST https://ayonga.github.io/frost-dev/index.html) they use
to calculate time derivative of jacobian matrix.
Here is my guess about the reason of using ...
0
votes
0answers
21 views
When a permutation matrix is desired for transforming camera frame to world frame?
When dealing with rectified images, why would the inverse of a simple permutation matrix $$P =
{\begin{bmatrix}
0 & -1 & 0 \\
0 & 0 & -1 \\
1 & 0 & 0
\end{bmatrix}}^{-1}$$
...
1
vote
0answers
45 views
Caculate/Specify the covariance matrix for a omniwheel robot
I have an omnidirectional robot (x, y and rotation around z), which I would like to use the SLAM-algorithm from ROS. But the odometry from the robot has a drift, which makes some error. To improve the ...
1
vote
1answer
167 views
Conveyor Belt Calibration for a Robot - Rotation Matrix
Short Question:
As demonstrated in the image below, how can I calculate the rotation matrix that relates the base coordinate and the rectangle coordinate, given 3 known points P1, P2, P3 on the ...
