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Adaptive synchronization for uncertain chaotic systems with external disturbance

✍ Scribed by Choon Ki Ahn; Sung-Tae Jung; Sun-Kyung Kang; Su-Chong Joo

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
448 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, we propose a new adaptive H 1 synchronization scheme for chaotic systems with unknown parameter and external disturbance. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the adaptive H 1 synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H 1 norm constraint. The proposed controller with adaptive law can be obtained by solving the LMI problem. The adaptive H 1 synchronization problems for Chua's chaotic system and hyperchaotic RΓΆssler system are presented to show the effectiveness of the proposed chaos synchronization scheme.

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