scholarly journals Synchronization of a class of uncertain chaotic systems utilizing a new finite-time fractional adaptive sliding mode control

2020 ◽  
Vol 5 ◽  
pp. 100042
Author(s):  
Zahra Rashidnejad ◽  
Paknosh Karimaghaee
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Uncertain Chaotic Systems

Adaptive sliding mode control of uncertain chaotic systems with input nonlinearity

2013 ◽  
Vol 76 (4) ◽  
pp. 1857-1865 ◽  
Author(s):  
Leipo Liu ◽  
Jiexin Pu ◽  
Xiaona Song ◽  
Zhumu Fu ◽  
Xiaohong Wang
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Input Nonlinearity ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Uncertain Chaotic Systems

scholarly journals Reduced-Order Antisynchronization of Chaotic Systems via Adaptive Sliding Mode Control

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Wafaa Jawaada ◽  
M. S. M. Noorani ◽  
M. Mossa Al-Sawalha ◽  
M. Abdul Majid
Keyword(s):  
Sliding Mode Control ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Dynamical Evolution ◽  
Adaptive Sliding Mode Control ◽  
Reduced Order ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Adaptive Sliding Mode Controller

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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