Controlling chaos in high dimensions

Celso Grebogi, Ying-Cheng Lai

Research output: Contribution to journalArticle

44 Citations (Scopus)

Abstract

We review the major ideas involved in the control of chaos by considering higher dimensional dynamics. We present the Ott-Grebogi-Yorke (OGY) method of controlling chaos to achieve time periodic motion by utilizing only small feedback control. The time periodic motion results from the stabilization of unstable periodic orbits embedded in the chaotic attractor. We demonstrate that the OGY method, also applicable to high dimensions, is a particular case of the pole placement technique, and we argue that it is the one leading to shortest time to achieve control. Implementation using only a measured time series in experimental situations is described.

Original languageEnglish (US)
Pages (from-to)971-975
Number of pages5
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume44
Issue number10
DOIs
StatePublished - 1997
Externally publishedYes

Fingerprint

Chaos theory
Feedback control
Time series
Poles
Orbits
Stabilization

Keywords

  • Chaos
  • Control
  • Pole-placement technique

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Controlling chaos in high dimensions. / Grebogi, Celso; Lai, Ying-Cheng.

In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 44, No. 10, 1997, p. 971-975.

Research output: Contribution to journalArticle

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