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Adaptive Control on a Class of Uncertain Chaotic Systems |
LIU Guo-Gang;ZHAO Yi |
Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275 |
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Cite this article: |
LIU Guo-Gang, ZHAO Yi 2005 Chin. Phys. Lett. 22 1069-1071 |
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Abstract By using a simple combination of feedback entrainment control (with an updating feedback strength) and adaptive scheme, for a large class of chaotic systems, it is proven rigorously by using the invariance principle of differential equations that all unknown model parameters can be estimated dynamically and the uncertain system can be controlled to an arbitrary desired smooth orbit. The illustration of the Lorenz system and the corresponding numerical results on the effect of noise are given.
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Keywords:
05.45.Gg
05.45.Xt
47.52.+j
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Published: 01 May 2005
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PACS: |
05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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47.52.+j
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(Chaos in fluid dynamics)
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