Chaos synchronization of nonlinear gyros in presence of stochastic excitation via sliding mode control

2008 ◽  
Vol 313 (3-5) ◽  
pp. 760-771 ◽  
Author(s):  
Hassan Salarieh ◽  
Aria Alasty
2011 ◽  
Vol 12 (6) ◽  
pp. 3199-3206 ◽  
Author(s):  
Yan-Qiu Che ◽  
Jiang Wang ◽  
Shi-Gang Cui ◽  
Bin Deng ◽  
Xi-Le Wei ◽  
...  

2012 ◽  
Vol 61 (12) ◽  
pp. 120504
Author(s):  
Li Yu-San ◽  
Wei Lin-Ling ◽  
Yu Miao ◽  
Zhang Meng

2012 ◽  
Vol 21 (10) ◽  
pp. 100507 ◽  
Author(s):  
Ling Lü ◽  
Miao Yu ◽  
Lin-Ling Wei ◽  
Meng Zhang ◽  
Yu-Shan Li

2017 ◽  
Vol 40 (5) ◽  
pp. 1417-1424 ◽  
Author(s):  
Jun-Juh Yan ◽  
Teh-Lu Liao

This paper is concerned with the hybrid synchronization of master-slave Lorenz systems with uncertainties. A new systematic design procedure to synchronize continuous master-slave Lorenz chaotic systems is proposed by using a discrete sliding mode control (DSMC). In contrast to the previous works, the design of DSMC can be simplified and only a single controller is needed to realize chaos synchronization. The proposed DSMC ensures the occurrence of the sliding mode. When the controlled system is in the sliding manifold, the effect of disturbances including matched and unmatched cases are discussed. The proposed results conclude the synchronization error of controlled master-slave systems with matched disturbances can be fully derived to zero or robustly suppressed in an estimated bound even with unmatched disturbances, which is not addressed in the literature. The numerical simulation results demonstrate the success and effectiveness of the proposed DSMC developed in this paper.


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