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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2answers
160 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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1answer
196 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 ...
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1answer
384 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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1answer
61 views

Multiple Rotations via Matrix Multiplication

so I am having an issue understanding why you right multiply for current frame rotation vs left multiply for fixed frame. Let us say you want to: Rotate about x, then Rotate about current y, then ...
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1answer
65 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
41 views

Derive the system's dynamics function and the Jacobian Matrix G of Extended Kalman Filter of a differential drive robot on a 2D plane

I have found the following answer on the system's dynamics function and what the Jacobian matrix G of the Extended Kalman Filter look like for a 2D robot with a differential drive. Taken from slides ...
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1answer
68 views

Multiplication of rotation matrix help

I'm Watching Angela Sodemann video on 6DOF robots and am following her example, but I'm getting a different answer for my R3_6 matrix and I'm not sure where I'm going wrong. She uses this as her ...
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3answers
53 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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0answers
36 views

IK Jacobian is always a singular matrix

I am trying to solve an inverse kinematics equation for 6DOF system, 3 rotation and 3 prismatic joints. I am trying to solve using perturbation method, by adjusting each joint and calculating the ...
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0answers
26 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
149 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?