Suppressing spatial bifurcations and chaos in one-way open coupled map lattices

Author

Konishi, K. ; Kokame, H. ; Hirata, K.

Author_Institution

Dept. of Electr. & Electron. Syst., Osaka Prefectural Univ., Sakai, Japan

Volume

3

fYear

2000

fDate

2000

Firstpage

2042

Abstract

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 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_∞-norm of the transfer function is less than 1. We provide a simple systematic procedure for the design of a delayed-feedback controller. It is confirmed that our theoretical results agree well with the numerical simulations

Keywords

bifurcation; chaos; control system synthesis; delays; feedback; poles and zeros; stability; transfer functions; chaos suppression; chaotic behavior; delayed-feedback control scheme; one-way open coupled map lattices; open-flow models; poles; spatial bifurcations suppression; systematic design procedure; transfer function; Bifurcation; Chaos; Control systems; Delay; Digital-to-frequency converters; Lattices; Numerical simulation; Spatiotemporal phenomena; Stability; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics Society, 2000. IECON 2000. 26th Annual Confjerence of the IEEE

Conference_Location

Nagoya

Print_ISBN

0-7803-6456-2

Type

conf

DOI

10.1109/IECON.2000.972590

Filename

972590