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Robot Dynamics

In: Geometric Algebra Applications Vol. II

Author

Listed:
  • Eduardo Bayro-Corrochano

    (CINVESTAV, Electrical Engineering and Computer Science Department)

Abstract

The study of the kinematics and dynamics of robot mechanisms has employed different frameworks, such as vector calculus, quaternion algebra, or linear algebra; the last is used most often. However, in these frameworks, handling the kinematics and dynamics involving only points and lines is very complicated. In previous chapter, the motor algebra was used to treat the kinematics of robot manipulators using the points, lines, and planes. We also used the conformal geometric algebra which includes for the representation also circles and spheres. The use of additional geometric entities helps even more to reduce the representation and computational difficulties.

Suggested Citation

  • Eduardo Bayro-Corrochano, 2020. "Robot Dynamics," Springer Books, in: Geometric Algebra Applications Vol. II, chapter 0, pages 297-357, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-34978-3_11
    DOI: 10.1007/978-3-030-34978-3_11
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