Reduced-order antisynchronization of chaotic systems via adaptive sliding mode control

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

Research output: Contribution to journalArticle

Abstract

A novel reduced-order adaptive sliding mode controller is developed and experimented in this paper to antisynchronize two different chaotic systems with different order. Based upon the parameters modulation and the adaptive sliding mode control techniques, we show that dynamical evolution of third-order chaotic system can be antisynchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to two examples: firstly Lorenz (4th-order) and Lorenz (3rd-order) and secondly the hyperchaotic Lü (4th-order) and Chen (3rd-order). Theoretical analysis and numerical simulations are shown to verify the results.

Original languageEnglish
Article number415652
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013

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Anti-synchronization
Adaptive Sliding Mode Control
Chaotic systems
Sliding mode control
Chaotic System
Modulation
Controllers
Computer simulation
Sliding Mode
Fourth Order
Theoretical Analysis
Projection
Verify
Controller
Unknown
Numerical Simulation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Reduced-order antisynchronization of chaotic systems via adaptive sliding mode control. / Jawaada, Wafaa; Md. Noorani, Mohd. Salmi; Al-Sawalha, M. Mossa; Abdul Majid, M.

In: Abstract and Applied Analysis, Vol. 2013, 415652, 2013.

Research output: Contribution to journalArticle

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