Runge-Kutta model-based nonlinear observer for synchronization and control of chaotic systems

BEYHAN S.

ISA Transactions, vol.52, no.4, pp.501-509, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 4
  • Publication Date: 2013
  • Doi Number: 10.1016/j.isatra.2013.04.005
  • Journal Name: ISA Transactions
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.501-509
  • Keywords: Chaos synchronization, Gradient observer, Observer-based chaos control, Runge-Kutta model, Stability
  • Yıldız Technical University Affiliated: No

Abstract

This paper proposes a novel nonlinear gradient-based observer for synchronization and observer-based control of chaotic systems. The model is based on a Runge-Kutta model of the chaotic system where the evolution of the states or parameters is derived based on the error-square minimization. The stability and convergence conditions of observer and control methods are analyzed using a Lyapunov stability approach. In numerical simulations, the proposed observer and well-known sliding-mode observer are compared for the synchronization of a Lü chaotic system and observer-based stabilization of a Chen chaotic system. The noisy case for synchronization and parameter uncertainty case for stabilization are also considered for both observer-based methods. © 2013 ISA. Published by Elsevier Ltd. All rights reserved.