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Chin. Phys. B, 2011, Vol. 20(5): 050507    DOI: 10.1088/1674-1056/20/5/050507
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Persistent excitation in adaptive parameter identification of uncertain chaotic system

Zhao Jun-Chana, Zhang Qun-Jiaoa, Lu Jun-Anb
a College of Science, Wuhan Textile University, Wuhan 430073, China; b School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Abstract  This paper studies the parameter identification problem of chaotic systems. Adaptive identification laws are proposed to estimate the parameters of uncertain chaotic systems. It proves that the asymptotical identification is ensured by a persistently exciting condition. Additionally, the method can be applied to identify the uncertain parameters with any number. Numerical simulations are given to validate the theoretical analysis.
Keywords:  persistent excitation      chaotic system      parameter identification      adaptive control  
Received:  28 September 2010      Revised:  13 December 2010      Published:  15 May 2011
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
Fund: Project supported in part by National Natural Science Foundation of China (Grant Nos. 11047114 and 60974081) and in part by the Key Project of Chinese Ministry of Education (Grant No. 210141).

Cite this article: 

Zhao Jun-Chan, Zhang Qun-Jiao, Lu Jun-An Persistent excitation in adaptive parameter identification of uncertain chaotic system 2011 Chin. Phys. B 20 050507

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