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Paths and trajectories

lesson

Time varying coordinate frames are required to describe how the end-effector of a robot should move to grab an object, or to describe objects that are moving in the world. We make an important distinction between a path and a trajectory.

Rotation angle sequences in 3D

lesson

The orientation of a body in 3D can be described by three angles, examples of which are Euler angles and roll-pitch-yaw angles. Note that in the MATLAB example at 8:24 note that recent versions of the Robotics Toolbox (9.11, 10.x) give a different result: >> rpy2r(0.1,0.2,0.3)ans = 0.9363 -0.2751 0.2184 0.2896 0.9564 -0.0370 -0.1987 0.0978 […]

Analyzing a robot arm that moves in 3D

lesson

We consider a robot with four joints that moves its end-effector in 3D space.

Introduction to inverse kinematics

lesson

We will learn about inverse kinematics, that is, how to compute the robot’s joint angles given the desired pose of their end-effector and knowledge about the dimensions of its links. We will also learn about how to generate paths that lead to smooth coordinated motion of the end-effector.

Robots in history

lesson

Humans have long been fascinated by machines that mimic people and animals. These and several other technologies are the precursors of modern robots.

Multi-dimensional trajectory

lesson

We learn to compute a trajectory that involves simultaneous smooth motion of many robot joints.

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