Title :
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
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;
Conference_Titel :
Industrial Electronics Society, 2000. IECON 2000. 26th Annual Confjerence of the IEEE
Conference_Location :
Nagoya
Print_ISBN :
0-7803-6456-2
DOI :
10.1109/IECON.2000.972590
