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

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Mathematics, Geometry, Reference & Language, Reference
Cover of the book Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning by Frédéric Jean, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Frédéric Jean ISBN: 9783319086903
Publisher: Springer International Publishing Publication: July 17, 2014
Imprint: Springer Language: English
Author: Frédéric Jean
ISBN: 9783319086903
Publisher: Springer International Publishing
Publication: July 17, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book The Orthopedic Educator by Frédéric Jean
Cover of the book Faith Schools, Tolerance and Diversity by Frédéric Jean
Cover of the book Synthetic Biology – Metabolic Engineering by Frédéric Jean
Cover of the book Game Theory for Networking Applications by Frédéric Jean
Cover of the book Controlling the Morphology of Polymers by Frédéric Jean
Cover of the book Media Transatlantic: Developments in Media and Communication Studies between North American and German-speaking Europe by Frédéric Jean
Cover of the book Food Waste at Consumer Level by Frédéric Jean
Cover of the book Acoustics of the Seabed as a Poroelastic Medium by Frédéric Jean
Cover of the book Ad-hoc, Mobile, and Wireless Networks by Frédéric Jean
Cover of the book HIV-associated Hematological Malignancies by Frédéric Jean
Cover of the book Proceedings of the 9th International Symposium on Superalloy 718 & Derivatives: Energy, Aerospace, and Industrial Applications by Frédéric Jean
Cover of the book Intelligent Computer Systems in Engineering Design by Frédéric Jean
Cover of the book Biocultural Diversity in Europe by Frédéric Jean
Cover of the book Psychological Mechanisms in Animal Communication by Frédéric Jean
Cover of the book Midwifery, Childbirth and the Media by Frédéric Jean
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy