Inducing oscillations in an inertia wheel pendulum via two-relays controller: Theory and experiments

Luis T. Aguilar, Igor Boiko, Leonid Fridman, Leonid Freidovich

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

8 Scopus citations

Abstract

A tool for generating a self-excited oscillations for an inertia wheel pendulum by means of a variable structure controller is proposed. The original system is transformed into the normal form for exact linearization. The design procedure, based on Describing Function (DF) method, allows for finding the explicit expressions of the two-relays controller gain parameters in terms of the desired frequency and amplitude. Necessary condition for orbital asymptotic stability of the output of the exactly linearized system is derived. Performance issues of the system with self-excited oscillations are validated with experiments.

Original languageBritish English
Title of host publication2009 American Control Conference, ACC 2009
Pages65-70
Number of pages6
DOIs
StatePublished - 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: 10 Jun 200912 Jun 2009

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2009 American Control Conference, ACC 2009
Country/TerritoryUnited States
CitySt. Louis, MO
Period10/06/0912/06/09

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