Robust Controlling Chaos for Unified Chaotic Systems via Sliding Mode Control

Author(s):  
Tsung-Ying Chiang ◽  
Meei-Ling Hung ◽  
Jun-Juh Yan
2007 ◽  
Vol 34 (2) ◽  
pp. 437-442 ◽  
Author(s):  
Tsung-Ying Chiang ◽  
Meei-Ling Hung ◽  
Jun-Juh Yan ◽  
Yi-Sung Yang ◽  
Jen-Fuh Chang

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Zhi-ping Shen ◽  
Jian-dong Xiong ◽  
Yi-lin Wu

This paper studies the stabilization problem for a class of unified chaotic systems subject to uncertainties and input nonlinearity. Based on the sliding mode control theory, we present a new method for the sliding mode controller design and the control law algorithm for such systems. In order to achieve the goal of stabilization unified chaotic systems, the presented controller can make the movement starting from any point in the state space reach the sliding mode in limited time and asymptotically reach the origin along the switching surface. Compared with the existing literature, the controller designed in this paper has many advantages, such as small chattering, good stability, and less conservative. The analysis of the motion equation and the simulation results all demonstrate that the method is effective.


2007 ◽  
Vol 34 (3) ◽  
pp. 947-954 ◽  
Author(s):  
Jun-Juh Yan ◽  
Yi-Sung Yang ◽  
Tsung-Ying Chiang ◽  
Ching-Yuan Chen

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Jian Yuan ◽  
Bao Shi ◽  
Xiaoyun Zeng ◽  
Wenqiang Ji ◽  
Tetie Pan

This paper deals with robust synchronization of the fractional-order unified chaotic systems. Firstly, control design for synchronization of nominal systems is proposed via fractional sliding mode technique. Then, systematic uncertainties and external disturbances are considered in the fractional-order unified chaotic systems, and adaptive sliding mode control is designed for the synchronization issue. Finally, numerical simulations are carried out to verify the effectiveness of the two proposed control techniques.


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