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

BEYHAN S.

ISA Transactions, cilt.52, sa.4, ss.501-509, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 4
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.isatra.2013.04.005
  • Dergi Adı: ISA Transactions
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.501-509
  • Anahtar Kelimeler: Chaos synchronization, Gradient observer, Observer-based chaos control, Runge-Kutta model, Stability
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

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.