Open AccessControlling chaos using half period delay-nonlinear feedback
Author(s) -
Hongjie Yu,
Ning Zheng
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.3782
Subject(s) - control theory (sociology) , nonlinear system , duffing equation , chaotic , control of chaos , perturbation (astronomy) , moment (physics) , feedback control , stability (learning theory) , describing function , nonlinear control , signal (programming language) , computer simulation , computer science , physics , control (management) , synchronization of chaos , classical mechanics , simulation , control engineering , quantum mechanics , artificial intelligence , machine learning , engineering , programming language
A method of chaos control using half period delayed-nonlinear feedback based on stability criterion is proposed in present paper. By a suitable separation of chaotic system, a special nonlinear function is obtained. Using the sum of nonlinear function about the chaotic output signal and its half period delayed output signal a continuous feedback input perturbation is constructed. Self-symmetric directly unstable periodic orbits can be stabilized by the method without using any external force. The method retains the advantages of performing the self-control of delay feedback control and overcomes its limitations. Beside, the validity of control is ensured due to the stability criterion. The control can be started at any moment, and it is convenient and flexible. The coupled coupling Duffing oscillator is taken as a numerical example. The results of numerical simulation show the validity of the method.