Neural control for synchronization of a chaotic Chua-Chen system

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, the synchronization problem of a master-slave system composed by a Chua's oscillator as the master and a Chen's oscillator as the slave is considered. Although the states of both systems are available for measurement, a complete lack of knowledge about the parameters of the oscillators is assumed. In order to handle this high uncertainty condition, the proposed design is based on differential neural networks approach. A neural identifier approximates the unknown dynamics of Chen's oscillator by using a stable learning law. The exponential convergence of identification error to a bounded zone is guaranteed by means of a Lyapunov-like analysis. Based on the instantaneous mathematical model of Chen's oscillator provided by the neural identifier, a control law is developed in such a way that Chen's oscillator follows the dynamic behavior of Chua's oscillator. The tracking error converges to a bounded zone and all parameters of this neural controller are guaranteed to be bounded. A numeric example illustrates the feasibility of the proposed approach.

Original languageEnglish
Article number7786335
Pages (from-to)3560-3568
Number of pages9
JournalIEEE Latin America Transactions
Volume14
Issue number8
DOIs
StatePublished - 1 Aug 2016
Externally publishedYes

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Synchronization
Mathematical models
Neural networks
Controllers
Uncertainty

Keywords

  • adaptive synchronization
  • chaotic systems
  • neural networks

Cite this

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Neural control for synchronization of a chaotic Chua-Chen system. / Perez, Jose Humberto.

In: IEEE Latin America Transactions, Vol. 14, No. 8, 7786335, 01.08.2016, p. 3560-3568.

Research output: Contribution to journalArticle

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