Robust active sliding mode anti-synchronization of hyperchaotic systems with uncertainties and external disturbances

Wafaa Jawaada, Mohd. Salmi Md. Noorani, M. Mossa Al-Sawalha

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

In this paper, we demonstrate that anti-synchronization can coexist in two different hyperchaotic systems with terms of parametric uncertainty and external disturbances using the robust active sliding mode control method. By using rigorous mathematical theory, the sufficient condition is drawn for the stability of error dynamics based on the Lyapunov stability theory, where the controllers are designed by using the sum of the relevant variables in hyperchaotic systems. Numerical results are presented to justify the theoretical analysis.

Original languageEnglish
Pages (from-to)2403-2413
Number of pages11
JournalNonlinear Analysis: Real World Applications
Volume13
Issue number5
DOIs
Publication statusPublished - Oct 2012

Fingerprint

Anti-synchronization
Hyperchaotic System
Sliding Mode
Uncertainty
Synchronization
Disturbance
Parametric Uncertainty
Lyapunov Stability Theory
Active Control
Sliding mode control
Sliding Mode Control
Justify
Theoretical Analysis
Controller
Numerical Results
Controllers
Sufficient Conditions
Term
Demonstrate
Lyapunov stability

Keywords

  • Active sliding mode control
  • Anti-synchronization
  • Hyperchaotic systems

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics
  • Engineering(all)
  • Medicine(all)
  • Economics, Econometrics and Finance(all)

Cite this

Robust active sliding mode anti-synchronization of hyperchaotic systems with uncertainties and external disturbances. / Jawaada, Wafaa; Md. Noorani, Mohd. Salmi; Mossa Al-Sawalha, M.

In: Nonlinear Analysis: Real World Applications, Vol. 13, No. 5, 10.2012, p. 2403-2413.

Research output: Contribution to journalArticle

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