Questions tagged [rotation]
The rotation tag has no usage guidance.
75
questions
2
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1answer
29 views
Inertial frame's angular velocity expression
I'm following a robotics course on coursera which talks about aerial robotics and more specifically quadrotors.
I'm trying to understand the logic behind the relationship between the angular velocity ...
3
votes
1answer
87 views
Calculating rotation matrix efficiently
I'm trying to efficiently calculate the vertical offset of each corner of a rectangular base. I have an accelerometer mounted in the middle of the base, ADXL345. The steps I have taken, and seems to ...
1
vote
1answer
56 views
How to handle robot movement close to coordinates x=0 with atan2
I am working on controlling a robot to various points on an x,y grid. The robot starts at random locations and I can control it's velocity and angular velocity.
Currently, I am using the technique of ...
2
votes
2answers
85 views
How can I draw a line using rotation of two circles?
I’m building a drawbot with a self imposed constraint that it’s method of motion is just two rotating disks. One holding the paper and one holding the pen. However, the math to calculate the right ...
0
votes
1answer
27 views
How do I calculate components of an angular rate on end effector frame?
I’ve helped develop the forward kinematic chain for a two-axis gimbal. The Denavit-Hartenberg parameter table for the kinematic chain is given below.
$\theta$
$\alpha$
$r$
$d$
$90^{\circ}$
$90^{\...
0
votes
1answer
75 views
IMU Change of reference frame
Im trying to rotate one accelerometer vector from body frame to ned frame, but i cant found what im doing wrong. For now, im using an online dataset that provides me roll, pitch and heading ...
0
votes
1answer
48 views
How to make two frames relative to each other
I have a Velodyne and camera that both have transformations specified relative to the origin of the robot.
The original transformations were specified as yaw, roll, pitch, x, y, z. I wrote a script to ...
1
vote
0answers
43 views
Rotate while strafing with mecanum wheels
I have a robot with a drivetrain that is comprised of 4 mecanum wheels. These wheels are able to move vertically and horizontally, as well as rotate. The robot is square (18in x 18in) with the front 2 ...
1
vote
2answers
43 views
What type of rigid body rotation can best be learned by neural networks?
I am training a reinforcement learning network in simulation for a robot which at the current stage learns Euler Angles to rotate the end-effector based on the actual state. The performance is overall ...
1
vote
0answers
17 views
What could cause quaternion error to go up drastically when a gyroscope is rotated on more than one axis at a time?
Alright, I'm working on a small Arduino script that determines orientation using a a gyroscope and a quaternion. My hardware:
LSM9DS1 IMU (Gyroscope, Accelerometer, Magnetometer)
Teensy 4.0
My basic ...
0
votes
1answer
38 views
Does every rotation vector has an one-to-one corresponding rotation matrix?
Given a rotation vector, can we always get the same corresponding rotation matrix computed by the Rodrigue's rotation formula?
0
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0answers
30 views
Angular movement of a controlled arm relative to an object via Two IMUs
I've been tasked to use two YEI 3-space sensors (IMUs) to detect the azimuth and elevation (altitude in the image below) angle of a moving arm with respect to a fixed object, with a sensor on the end ...
2
votes
2answers
57 views
Compute path in absolute frame from sequence of measurements
I have a sequence of measurements $\{(x_i, y_i, \theta_i)\}_{i = 1 \:...\: N}$. Each of these represents the new pose of the robot seen from the previous pose, i.e. a measurement $(x', y', \theta')$ ...
0
votes
1answer
35 views
Motion model and homogeneous transformation issue on a drone
I am trying to develop a EKF-SLAM algorithm for a drone, and I want to estimate its position in the inertial/world reference frame. I have as control variables the linear and angular velocities in the ...
1
vote
1answer
121 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 ...
0
votes
1answer
40 views
what are shoulder ball and socket joints called? (i am trying to design and build a hydraulic assistance mech suit)
I'm having problems finding the right sort of joint for my shoulder connection. It is a flat surface on the side of the mech body and I need to create a joint with maximum movement rotating: up, down ...
1
vote
2answers
55 views
Understanding Twists as 3D Velocities
I am just learning about twists to represent 3D velocities (e.g. of a robot's end-effector), and I have two questions:
1) Wikipedia defines a twist as "an angular velocity around an axis and a linear ...
0
votes
1answer
148 views
How to calculate rotation angle from 3D points
I have 4 3d points(x, y, z). Using these points how can I calculate rotation angle? Consequently, I want to have a 4x4 transformation matrix including rotation and translation information.
4 points ...
1
vote
1answer
68 views
Rotate coordinate frame using 2-axis inclinometer angles
How to rotate coordinate frame (transform point or vector coordinates) using angles from 2-axis inclination sensor if both X and Y angles are non-zero?
0
votes
1answer
30 views
Doubt about axis\angle representation
I am trying to understand the axis/angle representation.
So far, I have understood that the main idea is that every rotation can be represented as a rotation around an arbitrary axis of an angle $\...
0
votes
0answers
24 views
2-axis inclinometer angles to quaterion angles
How to derive quaterion angles (3 angles of the rotation vector with respect to the inertial coordinate frame and the rotation angle around that vector) knowing X and Y angles from a 2-axis ...
1
vote
1answer
68 views
Reset coordinate system of robot while maintaining relationship to the previous
I am currently estimating a robot's pose (3d position and rotation matrix) with an IMU and I want to reset the localizer in the middle of the run while keeping the relationship to the pose it had when ...
0
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0answers
21 views
Convert point coordinates from inclined to inertial coordinate system using inclinometer angles
I have a point (red dot) coordinates given as [vector magnitude, azimuth angle (blue), elevation angle (yellow)] in the inclined local system X'Y'Z', which must be converted into coordinates [x, y, z] ...
0
votes
1answer
111 views
What is my last rotation matrix for the last three angles when i have found the first three when doing inverse kinematics to a 6dof robot?
I am doing inverse kinematics for a 6dof robot.
I have used the geometrical method to describe the angles from one to three. I have trouble doing the next part. I know I that I have found the ...
0
votes
1answer
31 views
Finding quaternion Q, where Y = q * X * q.inv()
Problem
Quaternions $X$, $Y$, which represents 3-dimensional points are given.
Quaternion $q$ is what is to be solved.
I want to know unknown rotation between $X$ and $Y$.
In other words, I want to ...
0
votes
0answers
51 views
What's the result of multiplying a rotation matrix having only ψ components by another which has (−φ,θ,−ψ) components?
Given the following rotation matrix:
$
R(φ, θ, ψ) = \left( \begin{smallmatrix}
cos(θ)*cos(ψ) & -sin(φ)*sin(θ)*cos(ψ)-cos(φ)*sin(ψ) & -cos(φ)*sin(θ)*cos(ψ)+sin(φ)*sin(ψ) \\
...
1
vote
1answer
100 views
Solving for rotation matrix: Aligning vector a with vector b and then rotating around vector b
Currently working on a quadcopter simulation. I have a desired thrust vector,
t =sin(30)cos(45)a1+sin(30)sin(45)a2+cos(30)a3
and desired yaw angle,
...
3
votes
2answers
110 views
How to compute the orientation error between two 3D coordinate frames?
For my master thesis in robotics I have to compute the orientation error between two coordinate frames, called E and H. Their orientation is expressed through rotation matrices (3x3) with respect to a ...
1
vote
1answer
64 views
Rotating a lever with a small servo
I'm trying to rotate a lever link to gently "offload" a load using a servo. Here's a drawing:
Here, the red is a lever, yellow pivot and black is the load. To offload, the lever needs to be turned 90 ...
0
votes
0answers
26 views
MPU6050 Gyro rotaion always around Y axis
I am using an MPU6050 IMU. I did a small experiment having Z-axis pointing upwards.
1. Rotate 90deg around Z-axis (yaw) and back to the original position
2. Rotate 90deg around X-axis (roll) and back ...
1
vote
0answers
28 views
Moment of Inertia of a planar rotation link with a 6-DOF base
I'm interested in analytic calculation of a moment of inertia of a robot's arm in the following situation.
Let us assume the following:
Stationary reference frame $ \{b\} = \{X_B, Y_B, Z_B\}$ and ...
4
votes
2answers
223 views
How to calculate heading more accurately using dead wheels?
I am trying to figure out a more accurate way to calculate the change in the heading of a robot. I have two small omni wheels on either side of the robot facing forward and one on the right side ...
0
votes
1answer
1k views
Rotating NED to ENU
I have an IMU in NED of which I need to rotate to ENU to conform with ROS. I know its a roll of pi and a yaw of pi/2 but what ...
0
votes
1answer
64 views
Does Vehicle Yaw angle measures same at every point on it? If not, how to translate yaw rotation to COG of the vehicle from different point?
I am using an IMU to measure the yaw rotation angle of a car. I need to translate the rotation measured to COG of the vehicle. I can ignore roll and pitch as I am driving it on a flat surface. So, ...
0
votes
1answer
457 views
What are wheel ticks and wheel impulses?
I'm tracking the position of a vehicle along a certain trajectory using the Kalman filter and we have odometry data provided to us which gives the x-position of the vehicle, y-position of the vehicle ...
1
vote
0answers
101 views
How to get RPY(Roll, Pitch, Yaw) from directional cosines from a single vector?
I'm trying to find the pose of an 3D vector in terms of RPY. Let's say the two end points of the vector is P0(x0, y0, z0) and P1(x1, y1, z1). So the centered vector I get is V(Vx, Vy, Vz) = P1 - P0 = (...
0
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1answer
65 views
Rotation at SerialLink.teach Robotic Toolbox
Im using robotic toolbox to simulate my robot, but i always confused when i see the value of rpy. It always different if i compare with tr2rpy and tr2eul. What kind of rotation used in SerialLink....
1
vote
1answer
26 views
Observed position update after motion of the robot
The equation (14) in this paper,
$$
P_{Cj}=RP_{Pj}+T+e_j
$$
where $P_{Cj}$ and $P_{Pj}$ are the observed positions of feature $j$ prior to and after the current robot motion, $R$(otation) and $T$(...
2
votes
0answers
18 views
Undo pitching effect of camera when pose (y-axis) is near 90 degrees?
I am using KITTI odometry dataset whereby the camera's axis is pointing X (east), Y (down) and Z (north). It also contain the frame to frame poses of the camera (first pose is fixed as the map frame). ...
0
votes
1answer
19 views
How should I create a Pangolin (Armadillo) structure?
I am new to this forum. I want to create a mechanical structure as depicted in the image A pangolin bag. And further wouls like to automate the closing and opening of the bag. But I am facing issues ...
4
votes
1answer
308 views
Adjusting the PWM frequency and duty cycle to achieve the desired angular velocity in differential drive robots
I am practicing C++ and intro to robotics using a simple differential drive robot and a raspberry pi. Also following along the GA Tech course on control of mobile robotics.
The implementation I am ...
3
votes
2answers
888 views
Finding correct RPY for approaching a known point on a plane
I have a robot with 6 DOF that I want to use to grab a hanging sheet at a specific point near its edge. The grip needs to be perpendicular to the edge and co-planar with the point of course.
I have ...
0
votes
1answer
556 views
How can I attach an arm to a double-flat drive stepper motor?
This is my first robotics experience, outside of one class 10 years ago. I've been Googling this question for about an hour but I can't find an answer!
I'm using a ROHS Step Motor 28BYJ-48 (with an ...
1
vote
3answers
248 views
Forward Kinematics with matrices
From the image, I would like to find out how joint 1, 2 and 3 can be computed by using forward kinematics? (Assuming a theta value was given)
I understand that to get point 3 to origin (...
3
votes
1answer
2k views
Using pre multiply or post multipy for rotational matrix to get a new homogenous transformation matrix?
I am confused about how do I multiply the rotational matrix in this case.
I know that both T1 and T2 needs to be multiplied by a rotational matrix but I don't know how to multiply the rotational ...
2
votes
5answers
4k views
Why Euler Angle is set to be in ZYZ order?
We have 3 DOF for rotation in 3D space. So to describe an arbitrary rotation, we need to describe its 3 DOF. Euler angle does this by dividing a rotation in 3 steps, first rotate along the Z axis of ...
1
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1answer
2k views
2
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0answers
123 views
Equivalence of Alias and Alibi interpretation of Rotation Matrices [closed]
Let's consider two right handed frames $\mathcal R_A$, with coordinate axes $i_A$, $j_A$ and $k_A$ and $\mathcal R_B$, with coordinate axes $i_B$, $j_B$ and $k_B$. Defining the rotation matrix $R^A_B$ ...
2
votes
3answers
129 views
A closed-form solution of $\textbf{R}\textbf{R}_1=\textbf{R}_2\textbf{R}$ w.r.t $\textbf{R}$
Is there a closed-form solution of $\textbf{R}\textbf{R}_1=\textbf{R}_2\textbf{R}$ with respect to $\textbf{R}\in SO(3)$?
$\textbf{R}_1$, $\textbf{R}_2 \in SO(3)$ are given.
Added:
I tried holmeski'...
2
votes
1answer
105 views
SE3 composition operator gives unexpected results
Given Data and Algorithm
I have a stream of SE3 poses supplied by a basic wheel encoder odometry through ROS message passing system. Odometry publishes data in traditional to ROS ENU coordinate frame ...
