Chaotic systems synchronization via high order observer design

J. L. Mata-Machuca, R. Martínez-Guerra, R. Aguilar-López

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

In this paper, we consider the synchronization problem via a nonlinear observer design. A new exponential polynomial observer for a class of nonlinear oscillators is proposed, which is robust against output noises. A sufficient condition for synchronization is derived analytically with the help of the Lyapunov stability theory. The proposed technique has been applied to synchronize chaotic systems (Rikitake and Rössler systems) by numerical simulation.

Original languageEnglish
Pages (from-to)57-68
Number of pages12
JournalJournal of Applied Research and Technology
Volume9
Issue number1
DOIs
StatePublished - Apr 2011
Externally publishedYes

Keywords

  • Algebraic observability condition
  • Lipschitz system
  • Polynomial observer
  • Synchronization

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