Stabilizing unstable steady states using extended time-delay autosynchronization.


Journal Article

We describe a method for stabilizing unstable steady states in nonlinear dynamical systems using a form of extended time-delay autosynchronization. Specifically, stabilization is achieved by applying a feedback signal generated by high-pass-filtering in real time the dynamical state of the system to an accessible system parameter or variables. Our technique is easy to implement, does not require knowledge of the unstable steady state coordinates in phase space, automatically tracks changes in the system parameters, and is more robust to broadband noise than previous schemes. We demonstrate the controller's efficacy by stabilizing unstable steady states in an electronic circuit exhibiting low-dimensional temporal chaos. The simplicity and robustness of the scheme suggests that it is ideally suited for stabilizing unstable steady states in ultra-high-speed systems. (c) 1998 American Institute of Physics.

Full Text

Cited Authors

  • Chang, A; Bienfang, JC; Hall, GM; Gardner, JR; Gauthier, DJ

Published Date

  • December 1998

Published In

Volume / Issue

  • 8 / 4

Start / End Page

  • 782 - 790

PubMed ID

  • 12779784

Pubmed Central ID

  • 12779784

Electronic International Standard Serial Number (EISSN)

  • 1089-7682

International Standard Serial Number (ISSN)

  • 1054-1500

Digital Object Identifier (DOI)

  • 10.1063/1.166357


  • eng