A global steering method for general dynamical nonholonomic systems

Yacine Chitour, Frédéric Jean, Ruixing Long

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we extend the globally convergent steering algorithm for regular nonholonomic systems presented in [7] to a much larger class of systems which contain singularities. This extension is based on the construction of a continuous first order approximation of the control system. We also propose an exact motion planning method for nilpotent systems. The method makes use of sinusoidal control laws and generalizes the algorithm presented in [12] for steering chained-form systems. It gives rise to C1 trajectories, then makes easy dynamical extension.

Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages27-32
Number of pages6
ISBN (Print)9781424438716
DOIs
Publication statusPublished - 1 Jan 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: 15 Dec 200918 Dec 2009

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country/TerritoryChina
CityShanghai
Period15/12/0918/12/09

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