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Adaptive H∞ Chaos Anti-synchronization |
| Choon Ki Ahn |
| Faculty of the Division of Electronics and Control Engineering, Wonkwang University, 344-2 Shinyong-dong, Iksan 570-749, Korea |
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| Cite this article: |
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Choon Ki Ahn 2010 Chin. Phys. Lett. 27 030506 |
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Abstract A new adaptive H∞ anti-synchronization (AHAS) method is proposed for chaotic systems in the presence of unknown parameters and external disturbances. Based on the Lyapunov theory and linear matrix inequality formulation, the AHAS controller with adaptive laws of unknown parameters is derived to not only guarantee adaptive anti-synchronization but also reduce the effect of external disturbances to an H∞ norm constraint. As an application of the proposed AHAS method, the H∞anti-synchronization problem for Genesio-Tesi chaotic systems is investigated.
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05.45.Gg
05.45.-a
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Received: 25 August 2009
Published: 09 March 2010
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| PACS: |
05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.-a
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(Nonlinear dynamics and chaos)
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