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 High-Fidelity Quantum Logic in Ca+ by Frédéric Jean
Cover of the book The Variable-Order Fractional Calculus of Variations by Frédéric Jean
Cover of the book The 2-tuple Linguistic Model by Frédéric Jean
Cover of the book Prevention of Cardiovascular Diseases by Frédéric Jean
Cover of the book Macroeconomic Policy Framework for Africa's Structural Transformation by Frédéric Jean
Cover of the book Numerical Software Verification by Frédéric Jean
Cover of the book Digital Storage in Consumer Electronics by Frédéric Jean
Cover of the book Biomechanics of Cycling by Frédéric Jean
Cover of the book Experimental Search for Quantum Gravity by Frédéric Jean
Cover of the book Plasma Cell Dyscrasias by Frédéric Jean
Cover of the book Muslims in Putin's Russia by Frédéric Jean
Cover of the book Electrical Machines and Drives by Frédéric Jean
Cover of the book Design of CMOS RFIC Ultra-Wideband Impulse Transmitters and Receivers by Frédéric Jean
Cover of the book Grapevine Yellows Diseases and Their Phytoplasma Agents by Frédéric Jean
Cover of the book Political Analysis Using R 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