Hybrid Type Chaos Control Using DFC and PFC for Unknown System

Yoshimasa Shiimzu, Michio Miyazaki, HeeHyol Lee, Kageo Akizuki

Research output: Contribution to journalArticle

Abstract

Chaos control is stabilizing the state of a chaotic system into the peculiar unstable periodic orbit (UPO). In chaos control proposed until today, the; target system is known in many cases. However, when the generating mechanism of chaos is unknown, the control only based on time series data observed from the system is also required. Delayed feedback control (DFC) applies control input based on the difference between the T-time delayed state and the current state. Where r denotes the periods of UPO. Although this method needs correctly no chaos orbit if the periods of UPO is known, there exists the limitation of the odd number property. As the method to compensate this fault, there is predict ion-based feedback control (PFC) using the prediction value of T-time future state. However, PFC needs to calculate this prediction value analytically by using the known mathematical model dftlie target system. Then, in this paper, chaos control for unknown chaotic systems is proposed. This technique has the hybrid type control input to improve faults of DFC and PFC. The prediction value to be used in the control input is determined by using neural network or fuzzy neural network. The control inputs are impressed only near periodic points of the target UPO using the concept of the unstable periodic region.

Original languageEnglish
Pages (from-to)26-34
Number of pages9
JournalIEEJ Transactions on Electronics, Information and Systems
Volume123
Issue number1
DOIs
Publication statusPublished - 2003
Externally publishedYes

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Chaos theory
Feedback control
Orbits
Chaotic systems
Fuzzy neural networks
Time series
Mathematical models
Neural networks
Ions

Keywords

  • chaos control
  • delayed feedback control
  • fuzzy neural network
  • neural network
  • prediction-based feedback control
  • unknown system

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Hybrid Type Chaos Control Using DFC and PFC for Unknown System. / Shiimzu, Yoshimasa; Miyazaki, Michio; Lee, HeeHyol; Akizuki, Kageo.

In: IEEJ Transactions on Electronics, Information and Systems, Vol. 123, No. 1, 2003, p. 26-34.

Research output: Contribution to journalArticle

Shiimzu, Yoshimasa ; Miyazaki, Michio ; Lee, HeeHyol ; Akizuki, Kageo. / Hybrid Type Chaos Control Using DFC and PFC for Unknown System. In: IEEJ Transactions on Electronics, Information and Systems. 2003 ; Vol. 123, No. 1. pp. 26-34.
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