Active Adaptive Sliding Mode Control of Fractional-Order Hyperchaotic Systems with Uncertainties and External Disturbances

2015 ◽  
Vol 8 (7) ◽  
pp. 75-84
Author(s):  
Minxiu Yan ◽  
Liping Fan ◽  
Zhuyin Xue
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
External Disturbances ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Hyperchaotic Systems

scholarly journals On The Anti-Synchronization Of Fractional-Order Chaotic And Hyperchaotic Systems Via Modified Adaptive Sliding-Mode Control

2021 ◽  
Vol 12 (6) ◽  
pp. 1112-1123
Author(s):  
A .Othman Almatroud, Et. al.
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Uncertain System ◽  
Lyapunov Stability Theory ◽  
Control Technique ◽  
Adaptive Sliding Mode Control ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Hyperchaotic Systems

This paper investigates the anti–synchronization problem between two different fractional-order chaotic and hyperchaotic systems using the modified adaptive sliding mode control technique in the presence of uncertain system parameters. To construct the proposed scheme, a simple sliding surface is first designed. Then, the modified adaptive sliding-mode controller is derived to guarantee the occurrence of sliding motion. Based on the Lyapunov stability theory, the adaptive controllers with corresponding parameter update laws are designed such that the different chaotic and hyperchaotic systems can be anti–synchronized asymptotically. Finally, numerical simulations are presented to demonstrate the efficiency of the proposed anti–synchronization scheme.

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