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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 .24 Time Derivatives of Euler Angles ZXZ Angular Velocity .24 Time Derivative of Rotation Quaternion Angular Velocity .24 Time Derivative of Angle Axis Angular Velocity ..25 Time Derivative of Rotation Vector Angular Velocity.

Calculation of geometric Jacobian using Rigid Body Formulation38 ... 3.10 Inverse Dynamics for Floating-Base Systems . . . . . . . . . . . . .79 ... This lecture script gives a compact overview about the underlying theory. As the course is still in development, …

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