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

Paperback Engels 2014 2014e druk 9783319086897
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Samenvatting

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.

Specificaties

ISBN13:9783319086897
Taal:Engels
Bindwijze:paperback
Aantal pagina's:104
Uitgever:Springer International Publishing
Druk:2014

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Inhoudsopgave

1 Geometry of nonholonomic systems.- 2 First-order theory.- 3 Nonholonomic motion planning.- 4 Appendix A: Composition of flows of vector fields.- 5 Appendix B: The different systems of privileged coordinates.

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