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Quaternions representation of rotation in 3D

lesson

The orientation of a body in 3D can also be described by a unit-Quaternion, an unusual but very useful mathematical object.   In the MATLAB example starting at 3:48 I use the Quaternion class.  For Toolbox version 10 (2017) please use UnitQuaternion instead.

Summary of paths and trajectories

lesson

We summarise the important points from this lecture.

Motion in 3D

lesson

A body moving in 3D space has a translational velocity and a rotational velocity. The combination is called spatial velocity and is described by a 6-element vector.

Velocity of 6-Joint Robot Arm – Rotation

lesson

We resume our analysis of the 6-link robot Jacobian and focus on the rotational velocity part.

Second Order Dynamic Systems

lesson

If your knowledge of dynamics is a bit rusty then let’s quickly revise the basics of second-order systems and the Laplace operator. Not rusty? Then go straight to the next section.

Analyzing a 2-joint planar robot arm

lesson

We consider a robot, which has two rotary joints and an arm.

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