Parameter matching using adaptive synchronization of two Chua's oscillators

Valentin Siderskiy, Vikram Kapila

Research output: Contribution to journalArticle

Abstract

In this paper, we develop a parameter matching technique using adaptive synchronization with a chaotic attractor. Two Chua's oscillators, identical in every parameter except for one, are set-up in a master/slave configuration where the slave's mismatched parameter is adaptable. Using Lyapunov functions and incorporating the presence of chaotic signals, adaptive control laws are designed to ensure exact parameter matching. One of the derived adaptive controllers is experimentally validated by using an adaptive inductor-gyrator composed of current feedback op-amps (CFOAs). The experimental results are compared to high-fidelity SPICE simulations, and performance of adaptive controllers are compared over a wide range of parameter values using MATLAB.

Original languageEnglish (US)
Article number1430032
JournalInternational Journal of Bifurcation and Chaos
Volume24
Issue number11
DOIs
StatePublished - Nov 25 2014

Fingerprint

Chua's Oscillator
Adaptive Synchronization
Synchronization
Gyrators
Controllers
Operational amplifiers
SPICE
Lyapunov functions
MATLAB
Feedback
Controller
Chaotic Attractor
Adaptive Control
Lyapunov Function
Fidelity
Configuration
Experimental Results
Range of data
Simulation

Keywords

  • adaptive synchronization
  • CFOA
  • Chua's oscillator
  • inductor-gyrator
  • parameter matching

ASJC Scopus subject areas

  • Applied Mathematics
  • General
  • Engineering(all)
  • Modeling and Simulation

Cite this

Parameter matching using adaptive synchronization of two Chua's oscillators. / Siderskiy, Valentin; Kapila, Vikram.

In: International Journal of Bifurcation and Chaos, Vol. 24, No. 11, 1430032, 25.11.2014.

Research output: Contribution to journalArticle

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