Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics

Aline S. De Paula*, Marcelo A. Savi, Marian Wiercigroch, Ekaterina Pavlovskaia

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper deals with the application of chaos controlmethods 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.

Original languageEnglish
Title of host publicationIUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design - Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design
Subtitle of host publicationProceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010
EditorsMarian Wiercigroch, Giuseppe Rega
PublisherSpringer
Pages387-395
Number of pages9
ISBN (Electronic)9789400757424
ISBN (Print)9789400757417
DOIs
Publication statusPublished - 1 Jan 2013
EventIUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010 - Aberdeen, United Kingdom
Duration: 27 Jul 201030 Jul 2010

Publication series

NameIUTAM Bookseries
PublisherSpringer
Volume32
ISSN (Print)1875-3507
ISSN (Electronic)1875-3493

Conference

ConferenceIUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010
CountryUnited Kingdom
CityAberdeen
Period27/07/1030/07/10

Fingerprint

Pendulums
Chaos theory
Energy harvesting
Feedback control
Dynamical systems

Keywords

  • Delayed feedback control
  • Pendulum dynamics
  • Rotating solutions

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

De Paula, A. S., Savi, M. A., Wiercigroch, M., & Pavlovskaia, E. (2013). Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics. In M. Wiercigroch, & G. Rega (Eds.), IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design - Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010 (pp. 387-395). (IUTAM Bookseries; Vol. 32). Springer . https://doi.org/10.1007/978-94-007-5742-4_30

Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics. / De Paula, Aline S.; Savi, Marcelo A.; Wiercigroch, Marian; Pavlovskaia, Ekaterina.

IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design - Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010. ed. / Marian Wiercigroch; Giuseppe Rega. Springer , 2013. p. 387-395 (IUTAM Bookseries; Vol. 32).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

De Paula, AS, Savi, MA, Wiercigroch, M & Pavlovskaia, E 2013, Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics. in M Wiercigroch & G Rega (eds), IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design - Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010. IUTAM Bookseries, vol. 32, Springer , pp. 387-395, IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010, Aberdeen, United Kingdom, 27/07/10. https://doi.org/10.1007/978-94-007-5742-4_30
De Paula AS, Savi MA, Wiercigroch M, Pavlovskaia E. Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics. In Wiercigroch M, Rega G, editors, IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design - Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010. Springer . 2013. p. 387-395. (IUTAM Bookseries). https://doi.org/10.1007/978-94-007-5742-4_30
De Paula, Aline S. ; Savi, Marcelo A. ; Wiercigroch, Marian ; Pavlovskaia, Ekaterina. / Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics. IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design - Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010. editor / Marian Wiercigroch ; Giuseppe Rega. Springer , 2013. pp. 387-395 (IUTAM Bookseries).
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