Persistent excitation in adaptive parameter identification of uncertain chaotic system

doi:10.1088/1674-1056/20/5/050507

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: parameter identification adaptive control persistent excitation chaotic system

Received: 28 September 2010
Revised: 13 December 2010
Accepted manuscript online:

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(赵军产), Zhang Qun-Jiao(张群娇), and Lu Jun-An(陆君安) Persistent excitation in adaptive parameter identification of uncertain chaotic system 2011 Chin. Phys. B 20 050507

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Persistent excitation in adaptive parameter identification of uncertain chaotic system

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