Terminal observer and disturbance observer for the class of fractional-order chaotic systems

2019 ◽  
Vol 24 (12) ◽  
pp. 8881-8898
Author(s):  
Mohammad Reza Soltanpour ◽  
Mehrdad Shirkavand
Keyword(s):  
Fractional Order ◽  
Disturbance Observer ◽  
Chaotic Systems

scholarly journals Robust Synchronization Control of Uncertain Fractional-Order Chaotic Systems via Disturbance Observer

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Kaijuan Xue ◽  
Yongbing Huangfu
Keyword(s):  
Fractional Order ◽  
Disturbance Observer ◽  
Chaotic Systems ◽  
Control Method ◽  
Observer Design ◽  
Synchronization Error ◽  
Synchronization Control ◽  
Compact Set ◽  
Control Scheme ◽  
Unknown Disturbances

This paper studies the synchronization of two different fractional-order chaotic systems through the fractional-order control method, which can ensure that the synchronization error converges to a sufficiently small compact set. Afterwards, the disturbance observer of the synchronization control scheme based on adaptive parameters is designed to predict unknown disturbances. The Lyapunov function method is used to verify the appropriateness of the disturbance observer design and the convergence of the synchronization error, and then the feasibility of the control scheme is obtained. Finally, our simulation studies verify and clarify the proposed method.

A Review: Comparative Analysis of Chaotic Systems With Their Fractional Order Counterparts

2020 ◽  
Author(s):  
Niyojeet Shrirao ◽  
Alpana Pandey ◽  
Vijayshri Chaurasia ◽  
Ramji Gupta ◽  
Nancy Modi ◽  
...  
Keyword(s):  
Comparative Analysis ◽  
Fractional Order ◽  
Chaotic Systems

scholarly journals Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 31908-31920
Author(s):  
Lixiong Lin ◽  
Qing Wang ◽  
Bingwei He ◽  
Yanjie Chen ◽  
Xiafu Peng ◽  
...  
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Time Synchronization
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