Skip to main content
Proceedings

VIEW LARGER COVER

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.

Suggested Citation

National Research Council. 1997. Motion, Control, and Geometry: Proceedings of a Symposium. Washington, DC: The National Academies Press. https://doi.org/10.17226/5772.

Import this citation to:

Publication Info

80 pages |  8.5 x 11 | 

ISBNs: 
  • Paperback:  978-0-309-05785-1
  • Ebook:  978-0-309-17475-6
DOI: https://doi.org/10.17226/5772

What is skim?

The Chapter Skim search tool presents what we've algorithmically identified as the most significant single chunk of text within every page in the chapter. You may select key terms to highlight them within pages of each chapter.

Copyright Information

The National Academies Press (NAP) has partnered with Copyright Clearance Center's Marketplace service to offer you a variety of options for reusing NAP content. Through Marketplace, you may request permission to reprint NAP content in another publication, course pack, secure website, or other media. Marketplace allows you to instantly obtain permission, pay related fees, and print a license directly from the NAP website. The complete terms and conditions of your reuse license can be found in the license agreement that will be made available to you during the online order process. To request permission through Marketplace you are required to create an account by filling out a simple online form. The following list describes license reuses offered by the NAP through Marketplace:

  • Republish text, tables, figures, or images in print
  • Post on a secure Intranet/Extranet website
  • Use in a PowerPoint Presentation
  • Distribute via CD-ROM
  • Photocopy

Click here to obtain permission for the above reuses. If you have questions or comments concerning the Marketplace service, please contact:

Marketplace Support
International +1.978.646.2600
US Toll Free +1.855.239.3415
E-mail: support@copyright.com
marketplace.copyright.com

To request permission to distribute a PDF, please contact our Customer Service Department at customer_service@nap.edu.

loading iconLoading stats for Motion, Control, and Geometry: Proceedings of a Symposium...