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Control of Nonholonomic Systems: From Sub-Riemannian Geometry to Motion Planning

Control of Nonholonomic Systems: From Sub-Riemannian Geometry to Motion Planning

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Product Details
Author:
Frédéric Jean
Publisher:
Springer
Publication Date:
Jul 30, 2014
Number of pages:
104 pages
Binding:
Paperback or Softback
ISBN-10:
3319086898
ISBN-13:
9783319086897

Overview

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.


  • | Author: Frédéric Jean
  • | Publisher: Springer
  • | Publication Date: Jul 30, 2014
  • | Number of Pages: 104 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 3319086898
  • | ISBN-13: 9783319086897

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