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Inverse Kinematics for a General Purpose Robot Arm That Moves in 3D

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For real robots such as those with 6 joints that move in 3D space the inverse kinematics is quite complex, but for many of these robots the solutions have been helpfully derived by others and published. Let’s explore the inverse kinematics of the classical Puma 560 robot.

Robots in fiction

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Much of what we know about robots comes from fiction. Let’s look at fictional robots and the underlying reality.

Angle-axis representation of rotation in 3D

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The orientation of a body in 3D can also be described by a single rotation about a particular axis in space.

2-vector representation of rotation in 3D

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The orientation of a body in 3D can also be described by two vectors, often called the approach and orientation vectors.

Describing rotation in 2D

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We learn how to describe the orientation of an object by a 2×2 rotation matrix which has some special properties. Try your hand at some online MATLAB problems. You’ll need to watch all the 2D “Spatial Maths” lessons to complete the problem set.

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