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Robot Dynamics Lecture Notes - ETH Z

Robot Dynamics Lecture NotesYouJanuary 6, 2017 Contents1 ..32 .. of Positions ..6 Cartesian coordinates ..6 Cylindrical coordinates ..7 Spherical coordinates .. Velocity .. of Linear Velocities ..7 Cartesian Coordinates ..8 Cylindrical Coordinates ..8 Spherical Coordinates .. Matrices .. vs. Passive Rotation ..11 Passive Rotation ..11 Active Rotation .. Rotations .. of Rotations .. of Rotations ..13 Euler Angles ..13 Angle Axis ..18 Unit Quaternions .. Velocity .. Derivatives of Rotation Parameterizations ..22 Time Derivatives of Euler Angles ZYX Angular Velocity .23 Time Derivatives of Euler Angles XYZ Angular Velocity .24 Time Derivatives of Euler Angles ZYZ Angular Velocity.

robots, such as robot arms, legged and wheeled machines, or flying systems, that can be modeled using the same techniques. In fact, most robots can be described (accurately enough) by a single body or a set of bodies on which different forces act. However, these forces can come from different sources. A robot arm moving in free space is

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