scholarly journals Sliding mode control of fractional order chaotic system based on an online error correction adaptive SVR

2015 ◽  
Vol 64 (7) ◽  
pp. 070502
Author(s):  
Xue Kai-Jia ◽  
Wang Cong-Qing
Keyword(s):  
Sliding Mode Control ◽  
Error Correction ◽  
Fractional Order ◽  
Chaotic System ◽  
Sliding Mode ◽  
Mode Control

scholarly journals Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Junbiao Guan ◽  
Kaihua Wang
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic System ◽  
Secure Communication ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Control Technique ◽  
Order System ◽  
Mode Control ◽  
The Stability

A new fractional-order chaotic system is addressed in this paper. By applying the continuous frequency distribution theory, the indirect Lyapunov stability of this system is investigated based on sliding mode control technique. The adaptive laws are designed to guarantee the stability of the system with the uncertainty and external disturbance. Moreover, the modified generalized projection synchronization (MGPS) of the fractional-order chaotic systems is discussed based on the stability theory of fractional-order system, which may provide potential applications in secure communication. Finally, some numerical simulations are presented to show the effectiveness of the theoretical results.

Sliding Mode Control of Fractional-Order Delayed Memristive Chaotic System with Uncertainty and Disturbance

2017 ◽  
Vol 68 (6) ◽  
pp. 741 ◽  
Author(s):  
Da-Wei Ding ◽  
Fang-Fang Liu ◽  
Hui Chen ◽  
Nian Wang ◽  
Dong Liang
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic System ◽  
Sliding Mode ◽  
Mode Control
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