Delayed-feedback control of spatial bifurcations and chaos in open-flow models
A delayed-feedback control scheme is presented for suppressing spatial bifurcation and chaotic behavior in open-flow models. It is shown that spatial bifurcation and chaotic behavior never occur when the delayed-feedback controller is designed such that the following two conditions are satisfied: all the poles of the transfer function of each site are inside a unit circle and the H(infinity) norm of the transfer function is less than 1. We provide a simple systematic procedure for design of the delayed-feedback controller. It is confirmed that our theoretical results agree well with the numerical simulations.
Konishi
K
Department of Electrical and Electronic Systems, Osaka Prefecture University 1-1 Gakuen-cho, Sakai, Osaka 599-8531, Japan.
Kokame
H
Hirata
K