Chaos synchronization by Model Reference Adaptive control using fixed point transformations

József K. Tar, Imre J. Rudas, János F. Bitó, Teréz A. Várkonyi

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

2 Citations (Scopus)

Abstract

In this paper a special Model Reference Adaptive Controller (MRAC) is suggested for the synchronization of the signals two Chua circuits of significantly different parameters in the chaotic regime of their motion. One of the circuits has exactly known parameters. This system provides the trajectory that has to be traced by the other circuit the parameters of which are unknown. The known circuit also serves as the reference model the dynamic behavior of which has to be imitated by the controlled system for the external control loop. In contrast to the traditional approaches that normally apply Lyapunov's direct method for designing the controller the suggested method applies Robust Fixed Point Transformations (RFPT) that is far simpler design technique. The results of computer simulations clearly reveal that in spite of significant modeling errors the MRAC idea is well realized and in the same time precise tracking can be achieved. Up to the information of the authors this is the first application of the RFPT-based approach in the synchronization of Chua circuits.

Original languageEnglish
Title of host publicationProceedings of the 13th IASTED International Conference on Intelligent Systems and Control, ISC 2011
Pages23-28
Number of pages6
DOIs
Publication statusPublished - Nov 9 2011
Event13th IASTED International Conference on Intelligent Systems and Control, ISC 2011 - Cambridge, United Kingdom
Duration: Jul 11 2011Jul 13 2011

Publication series

NameProceedings of the IASTED International Conference on Intelligent Systems and Control
ISSN (Print)1025-8973

Other

Other13th IASTED International Conference on Intelligent Systems and Control, ISC 2011
CountryUnited Kingdom
CityCambridge
Period7/11/117/13/11

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Keywords

  • Chaos synchronization
  • Chua circuits
  • Model reference adaptive control
  • Robust fixed point transformations adaptive control

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Modelling and Simulation
  • Artificial Intelligence

Cite this

Tar, J. K., Rudas, I. J., Bitó, J. F., & Várkonyi, T. A. (2011). Chaos synchronization by Model Reference Adaptive control using fixed point transformations. In Proceedings of the 13th IASTED International Conference on Intelligent Systems and Control, ISC 2011 (pp. 23-28). (Proceedings of the IASTED International Conference on Intelligent Systems and Control). https://doi.org/10.2316/P.2011.744-089