Robust anti-synchronization for nonlinear chaotic dynamic systems via error passivation

Research output: Contribution to journalArticle

Abstract

This paper proposes a new robust anti-synchronization scheme for nonlinear chaotic systems with external disturbance via passivity theory. The proposed anti-synchronization controller ensures that the anti-synchronization error system is passive from external disturbance to output based on Lyapunov theory and linear matrix inequality (LMI) formulation. Without external disturbance, it guarantees asymptotic stability. Our new controller can be constructed by solving the LMI feasibility problem. Via the simulation study for the Genesio-Tesi chaotic system, we demonstrate the effectiveness of the proposed anti-synchronization scheme.

Original languageEnglish
Pages (from-to)107-114
Number of pages8
JournalCommunications on Applied Nonlinear Analysis
Volume20
Issue number2
Publication statusPublished - 2013 May 8
Externally publishedYes

Fingerprint

Anti-synchronization
Passivation
Chaotic Dynamics
Chaotic System
Nonlinear Dynamics
Dynamic Systems
Synchronization
Dynamical systems
Disturbance
Chaotic systems
Linear matrix inequalities
Matrix Inequality
Linear Inequalities
Controller
Lyapunov Theory
Controllers
Passivity
Asymptotic stability
Asymptotic Stability
Nonlinear Systems

Keywords

  • Linear matrix inequality (LMI)
  • Lyapunov stability theory
  • Nonlinear chaotic systems
  • Passivity based anti-synchronization
  • Robust synchronization

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Robust anti-synchronization for nonlinear chaotic dynamic systems via error passivation. / Ahn, Choon Ki.

In: Communications on Applied Nonlinear Analysis, Vol. 20, No. 2, 08.05.2013, p. 107-114.

Research output: Contribution to journalArticle

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