
Motion, Control, and Geometry
Proceedings of a Symposium
National Academies Press
Published on 7. May 1997
Book
Paperback/Softback
80 pages
978-0-309-05785-1 (ISBN)
Description
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.
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.
More details
Language
English
Place of publication
Washington
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 279 mm
Width: 216 mm
ISBN-13
978-0-309-05785-1 (9780309057851)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

National Research Council | Division on Engineering and Physical Sciences | Commission on Physical Sci
Motion, Control, and Geometry
Proceedings of a Symposium
E-Book
05/1997
1st Edition
National Academies Press
€65.99
Available for download
Persons
Board on Mathematical Sciences, National Research Council
Content
1 FRONT MATTER; 2 INTRODUCTION; 3 1: GEOMETRIC FOUNDATIONS OF MOTION AND CONTROL; 4 2: CYCLES THAT EFFECT CHANGE; 5 3: GEOMETRIC PHASES, CONTROL THEORY, AND ROBOTICS; 6 4: MOTION CONTROL AND COUPLED OSCILLATORS; 7 APPENDIX A; 8 APPENDIX B