Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/61740
Title: Adaptive backstepping control of a class of chaotic systems
Authors: Ge, S.S. 
Wang, C.
Lee, T.H. 
Issue Date: May-2000
Source: Ge, S.S.,Wang, C.,Lee, T.H. (2000-05). Adaptive backstepping control of a class of chaotic systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 (5) : 1149-1156. ScholarBank@NUS Repository.
Abstract: This paper is concerned with the control of a class of chaotic systems using adaptive backstepping, which is a systematic design approach for constructing both feedback control laws and associated Lyapunov functions. Firstly, we show that many chaotic systems as paradigms in the research of chaos can be transformed into a class of nonlinear systems in the so-called nonautonomous "strict-feedback" form. Secondly, an adaptive backstepping control scheme is extended to the nonautonomous "strict-feedback" system, and it is shown that the output of the nonautonomous system can asymptotically track the output of any known, bounded and smooth nonlinear reference model. Finally, the Duffing oscillator with key constant parameters unknown, is used as an example to illustrate the feasibility of the proposed control scheme. Simulation studies are conducted to show the effectiveness of the proposed method.
Source Title: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/61740
ISSN: 02181274
Appears in Collections:Staff Publications

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