Non-linear Feedback Control of a Novel Chaotic System

From the classical $L\ddot{u}$ chaotic system a new simple three-dimensional autonomous system is derived, which exhibits a three-scroll chaotic attractor. An approach to control this novel attractor by non-linear feedback functions is proposed. The results obtained reveal that the trajectories of t...

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Bibliographic Details
Published inInternational journal of control, automation, and systems Vol. 7; no. 6; pp. 939 - 944
Main Authors Zhou, Wuneng, Pan, Lin, Li, Zhong, Halang, Wolfgang A
Format Journal Article
LanguageKorean
Published 2009
Subjects
L\ddot{u}$ chaotic system
non-linear feedback control
Chaos control
strange attractors
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Summary:From the classical $L\ddot{u}$ chaotic system a new simple three-dimensional autonomous system is derived, which exhibits a three-scroll chaotic attractor. An approach to control this novel attractor by non-linear feedback functions is proposed. The results obtained reveal that the trajectories of the chaotic attractor can be controlled to reach certain target periodic orbits or points. Finally, some numerical simulations are provided to show the effectiveness and feasibility of the controller design method developed.
Bibliography:KISTI1.1003/JNL.JAKO200909659862816
ISSN:1598-6446
2005-4092