TY - JOUR
T1 - Controlling hyperchaos of the rössler system
AU - Hsieh, Jin Yuan
AU - Hwang, Chi Chuan
AU - Wang, An Pei
AU - Li, Woei Jong
PY - 1999
Y1 - 1999
N2 - A feedback control is designed to regulate the hyperchaotic behaviour of the Rossler oscillator. Two inputs are added to the system for the control where each of the inputs contains two portions of feedback. One of the feedbackparts is to construct an equilibrium manifold by modifying the dynamics of the system, while the other is the proportional feedback part which will control the hyperchaotic state to desired states on the manifold. In the design, the desired states include fixed points as well as limit cycles. Some numerical experiments are presented to perform the control. As expected, and also verified by the numerical results, the hyperchaotic system can be well tracked to the desired state by the present design. Furthermore, the settling times of the tracking can be improved by increasing the proportional gains of the control.
AB - A feedback control is designed to regulate the hyperchaotic behaviour of the Rossler oscillator. Two inputs are added to the system for the control where each of the inputs contains two portions of feedback. One of the feedbackparts is to construct an equilibrium manifold by modifying the dynamics of the system, while the other is the proportional feedback part which will control the hyperchaotic state to desired states on the manifold. In the design, the desired states include fixed points as well as limit cycles. Some numerical experiments are presented to perform the control. As expected, and also verified by the numerical results, the hyperchaotic system can be well tracked to the desired state by the present design. Furthermore, the settling times of the tracking can be improved by increasing the proportional gains of the control.
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U2 - 10.1080/002071799220614
DO - 10.1080/002071799220614
M3 - Article
AN - SCOPUS:0032668685
SN - 0020-7179
VL - 72
SP - 882
EP - 886
JO - International Journal of Control
JF - International Journal of Control
IS - 10
ER -