Motion, Control, and Geometry: Proceedings of a Symposium
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Motion, Control, and Geometry:
Proceedings of a Symposium
(1997)
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Some of the modem developments described in Motion, Control, and Geometry include the geometric control of robot motion and craft orientation, how high-power precision micromotors are engineered for less invasive surgery and self-focusing lens applications, what a mobile robot on a surface has in common with one moving in three dimensions, and how the motion-control problem is simplified by a coupled oscillator's geometric grouping of degrees of freedom and motion time scales.

The four papers in these proceedings provide a view through the scientific portal of today's motion-control geometric research into tomorrow's technology. The mathematics needed to carry out this research is that of modem differential geometry, and the questions raised in the field of motion-control geometry go directly to the research frontier. Geometry is a mathematical area too often neglected nowadays in a student's education. This publication will help adjust the control initially imposed about 2,300 years ago on one kind of "motion"- that of students entering Plato's Academy, where the following caveat was inscribed above the doorway: "Let no one ignorant of geometry enter here." Readers of these chapters will gain an appreciation of modem geometry and how it continues to play a crucial role in the context of motion control in cutting-edge science and technology.

Topics

  • Math, Chemistry and Physics — Math and Statistics
  • Math, Chemistry and Physics — Physics

Publication Info

80 pages | 8.5 x 11
Paperback
ISBN: 978-0-309-05785-1
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Suggested Citation

National Research Council. Motion, Control, and Geometry: Proceedings of a Symposium. Washington, DC: The National Academies Press, 1997.

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