Control of the Furuta Pendulum by using a Lyapunov function

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Abstract

A Lyapunov based control approach is proposed for the stabilization of the under actuated Furuta Pendulum. First, by a suitable partial feedback linearization that allows to linearize only the actuated coordinate of the system, it proceeds to find a candidate Lyapunov function, and them, a stabilizing controller is derived from the obtained candidate function. The proposed closed-loop system is locally and asymptotically stable around the unstable vertical equilibrium rest, with a computable domain of attraction.

Original languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6128-6132
Number of pages5
ISBN (Print)1424401712, 9781424401710
DOIs
StatePublished - 2006
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: 13 Dec 200615 Dec 2006

Publication series

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

Conference

Conference45th IEEE Conference on Decision and Control 2006, CDC
Country/TerritoryUnited States
CitySan Diego, CA
Period13/12/0615/12/06

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