A parametric perturbation method for controlling discrete hyperchaotic systems

Alexander Jimenez-Triana, Carolina Gonzalez-Cotrino, Guanrong Chen

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

  • 2 Citations

Abstract

A new method is developed for controlling hyperchaos in nth-order discrete systems by perturbing one of its parameters n times in a neighborhood of an unstable periodic orbit (UPO) embedded in the chaotic attractor. The method is a generalization of a recent result for controlling two-dimensional systems, and shows some advantages in comparison with classical methods for controlling chaos. Although the method is local by nature, it is shown to be robust, which allows its application in relatively large neighborhoods of the unstable orbits, and may be used in practical situations where noise, uncertainties, and external disturbances are present. To validate the applicability of the method, two different systems where stabilized, a three-dimensional hyperchaotic Hénon-like map, and a hyperchaotic generalized Hénon map, showing good performance as expected.

LanguageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6692-6697
Number of pages6
Volume2016-February
ISBN (Print)9781479978861
DOIs
Publication statusPublished - Feb 8 2016
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period12/15/1512/18/15

Fingerprint

Hyperchaotic System
Perturbation Method
Discrete Systems
Orbits
Chaos theory
Unstable
Hyperchaos
Controlling Chaos
Hénon Map
Chaotic Attractor
Two-dimensional Systems
Periodic Orbits
Disturbance
Orbit
Uncertainty
Three-dimensional

Keywords

  • Analytical models
  • Chaos
  • Control systems
  • Linear approximation
  • Orbits
  • Robustness
  • Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Jimenez-Triana, A., Gonzalez-Cotrino, C., & Chen, G. (2016). A parametric perturbation method for controlling discrete hyperchaotic systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2016-February, pp. 6692-6697). [7403273] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7403273

A parametric perturbation method for controlling discrete hyperchaotic systems. / Jimenez-Triana, Alexander; Gonzalez-Cotrino, Carolina; Chen, Guanrong.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. p. 6692-6697 7403273.

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

Jimenez-Triana, A, Gonzalez-Cotrino, C & Chen, G 2016, A parametric perturbation method for controlling discrete hyperchaotic systems. in Proceedings of the IEEE Conference on Decision and Control. vol. 2016-February, 7403273, Institute of Electrical and Electronics Engineers Inc., pp. 6692-6697, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 12/15/15. https://doi.org/10.1109/CDC.2015.7403273
Jimenez-Triana A, Gonzalez-Cotrino C, Chen G. A parametric perturbation method for controlling discrete hyperchaotic systems. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February. Institute of Electrical and Electronics Engineers Inc. 2016. p. 6692-6697. 7403273 https://doi.org/10.1109/CDC.2015.7403273
Jimenez-Triana, Alexander ; Gonzalez-Cotrino, Carolina ; Chen, Guanrong. / A parametric perturbation method for controlling discrete hyperchaotic systems. Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. pp. 6692-6697
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