Control of Nonholonomic Systems: From Sub-Riemannian Geometry to Motion Planning
Frederic Jean
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Description for Control of Nonholonomic Systems: From Sub-Riemannian Geometry to Motion Planning
Paperback. Series: SpringerBriefs in Mathematics. Num Pages: 114 pages, 1 colour illustrations, biography. BIC Classification: GPFC; PBMP; UYQ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 6. Weight in Grams: 191.
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.
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.
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
114
Condition
New
Series
SpringerBriefs in Mathematics
Number of Pages
104
Place of Publication
Cham, Switzerland
ISBN
9783319086897
SKU
V9783319086897
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Control of Nonholonomic Systems: From Sub-Riemannian Geometry to Motion Planning
“The main objective of the book under review is to introduce the readers to nonholonomic systems from the point of view of control theory. … the book is a concise survey of the methods for motion planning of nonholonomic control systems by means of nilpotent approximation. It contains both the theoretical background and the explicit computational algorithms for solving this ... Read more