A delayed-feedback control scheme is presented to suppress spatial bifurcation and chaotic behavior in open-flow models. It is shown that spatial bifurcation and chaotic behavior never occur when the delayedfeedback 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∞-norm of the transfer function is less than 1. We provide a simple systematic procedure for the design of delayed-feedback controller. It is confirmed that our theoretical results agree well with the numerical simulations.
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering