An I&I-Based Observer to Solve the Output-Feedback Synchronization Problem for a Class of Chaotic Systems

Carlos Aguilar-Ibañez, Eloísa García-Canseco, Rafael Martínez-García, Juan Carlos Martínez-García, Miguel Santiago Suarez-Castañon

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

A novel robust observer, intended to solve the output-feedback chaos synchronization problem for the Master/Slave Configuration, is proposed here. Assuming that the given Master system belongs to a specific class of feedback-linearized systems, our solution is based on the well-known Immersion and Invariance (I&I) method. The proposed observer is devoted to the asymptotic estimation of the Master system's underlying dynamics, and its effectiveness is illustrated via computer-based simulations that involve both the so-called Duffing's oscillator and the Genesio & Tesi system.

Original languageEnglish
Pages (from-to)1491-1503
Number of pages13
JournalAsian Journal of Control
Volume20
Issue number4
DOIs
StatePublished - Jul 2018

Keywords

  • Chaos synchronization
  • differential primitive element
  • immersion and invariance observer

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