Robust synchronization of chaotic systems via adaptive sliding mode control

This Letter investigates the synchronization problem for a general class of chaotic systems. Using the sliding mode control technique, an adaptive control law is established to guarantee synchronization of the master and slave systems even when unknown parameters and external disturbances are presen...

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Bibliographic Details
Published in:Physics letters. A 2006-08, Vol.356 (3), p.220-225
Main Authors: Yan, Jun-Juh, Hung, Meei-Ling, Chiang, Tsung-Ying, Yang, Yi-Sung
Format: Article
Language:English
Subjects:
Adaptive sliding mode control
Chua's circuit
Proportional-integral switching surface
Synchronization
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Summary:This Letter investigates the synchronization problem for a general class of chaotic systems. Using the sliding mode control technique, an adaptive control law is established to guarantee synchronization of the master and slave systems even when unknown parameters and external disturbances are present. In contrast to the previous works, the structure of slave system is simple and need not be identical to the master system. Furthermore, a novel proportional-integral (PI) switching surface is proposed to simplify the task of assigning the performance of the closed-loop error system in sliding mode. An illustrative example of Chua's circuit is given to demonstrate the effectiveness of the proposed synchronization scheme.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2006.03.047