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2013 | OriginalPaper | Chapter

Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics

Authors : Aline S. de Paula, Marcelo A. Savi, Marian Wiercigroch, Ekaterina Pavlovskaia

Published in: IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

Publisher: Springer Netherlands

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Abstract

This paper deals with the application of chaos control methods in order to perform bifurcation control of a parametric pendulum-shaker system. The extended time-delayed feedback control method is employed to maintain stable rotational solution of the system avoiding bifurcation to chaos. The considered pendulum system is chosen due to its potential application for extracting energy from sea waves. This alternative concept of energy harvesting is based on exploiting the rotational unbounded solution of the pendulum dynamics. The bifurcation control proposed allows the system to keep the desired rotational solution over extended parameter range avoiding undesirable changes in system dynamics.

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Metadata
Title
Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics
Authors
Aline S. de Paula
Marcelo A. Savi
Marian Wiercigroch
Ekaterina Pavlovskaia
Copyright Year
2013
Publisher
Springer Netherlands
Book
IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

Print ISBN: 978-94-007-5741-7

Electronic ISBN: 978-94-007-5742-4

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-94-007-5742-4_30

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