Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geometry does for linear systems. In particular the usual notions of approximations at the first order, that are essential for control purposes, have to be defined in terms of this geometry.
The aim of these notes is to present these notions of approximation and their application to the motion planning problem for nonholonomic systems.
| ISBN: | 9783319086897 |
| Publication date: | 30th July 2014 |
| Author: | Frédéric Jean |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 104 pages |
| Series: | SpringerBriefs in Mathematics |
| Genres: |
Cybernetics and systems theory Differential and Riemannian geometry Artificial intelligence Computer science Mathematics |
Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geometry does for linear systems.
Control of Nonholonomic Systems features in the following genres: Cybernetics and systems theory, Differential and Riemannian geometry, Artificial intelligence, Computer science, Mathematics
Paperback. Not Available.
Control of Nonholonomic Systems was written by Frédéric Jean and published by Springer an imprint of Springer International Publishing
Control of Nonholonomic Systems has 104 pages
Yes it is part of SpringerBriefs in Mathematics series