Observer-based adaptive control of chaos in nonlinear discrete-time systems using time-delayed state feedback

A new approach to adaptive control of chaos in a class of nonlinear discrete-time-varying systems, using a delayed state feedback scheme, is presented. It is discussed that such systems can show chaotic behavior as their parameters change. A strategy is employed for on-line calculation of the Lyapun...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2009-09, Vol.41 (5), p.2448-2455
Main Authors: Goharrizi, Amin Yazdanpanah, Khaki-Sedigh, Ali, Sepehri, Nariman
Format: Article
Language:English
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Summary:A new approach to adaptive control of chaos in a class of nonlinear discrete-time-varying systems, using a delayed state feedback scheme, is presented. It is discussed that such systems can show chaotic behavior as their parameters change. A strategy is employed for on-line calculation of the Lyapunov exponents that will be used within an adaptive scheme that decides on the control effort to suppress the chaotic behavior once detected. The scheme is further augmented with a nonlinear observer for estimation of the states that are required by the controller but are hard to measure. Simulation results for chaotic control problem of Jin map are provided to show the effectiveness of the proposed scheme.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2008.09.033