Robust synchronization of chaotic systems subject to parameter uncertainties

Chaos
He HuangYonghui Sun

Abstract

The robust synchronization problem is studied in this paper for uncertain chaotic Lur'e systems. It is assumed that the mismatched parameter uncertainties appear in the master system and are norm bounded. An integral sliding mode control approach is developed to address this problem. First, a suitable integral sliding surface is constructed, and a delay-dependent condition by means of linear matrix inequalities is derived under which the resulting error system is globally asymptotically stable in the specified switching surface. Then, an integral sliding mode controller is designed guaranteeing the reachability of the specified sliding surface. When the bounds of the mismatched parameter uncertainties are unknown, an adaptive integral sliding mode controller is further designed. Finally, the Chua's circuit is provided as an example to demonstrate the effectiveness of the developed approach.

References

Feb 19, 1990·Physical Review Letters·L M Pecora, T L Carroll
Jun 5, 2003·Chaos·Reggie Brown, Ljupco Kocarev
Sep 28, 2004·Chaos·Alexander E Hramov, Alexey A Koronovskii
Jan 1, 1993·IEEE Transactions on Neural Networks·M Vidyasagar
Dec 3, 2008·Chaos·He Huang, Gang Feng

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Feedback - System Communication
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Chaos Theory
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