Robust Synchronization of Fractional Chaotic Systems via Adaptive Sliding Mode Control

Author(s):  
Yi-Sung Yang ◽  
Jen-Fuh Chang ◽  
Teh-Lu Liao ◽  
Jun-Juh Yan
2006 ◽  
Vol 356 (3) ◽  
pp. 220-225 ◽  
Author(s):  
Jun-Juh Yan ◽  
Meei-Ling Hung ◽  
Tsung-Ying Chiang ◽  
Yi-Sung Yang

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Wafaa Jawaada ◽  
M. S. M. Noorani ◽  
M. Mossa Al-Sawalha ◽  
M. Abdul Majid

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.


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