Questions tagged [matrix]

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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, $M(q)$, $...
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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 ...
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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 ...
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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 ...
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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?
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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 ...
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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 $$P = {\begin{bmatrix} 0 & -1 & 0 \\ 0 & 0 & -1 \\ 1 & 0 & 0 \end{bmatrix}}^{-1}$$ ...
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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 ...
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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 ...