T - S fuzzy adaptive delayed feedback synchronization for time-delayed chaotic systems with uncertain parameters

Choon Ki Ahn, Pyung Soo Kim

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we propose a new adaptive synchronization method, called a fuzzy adaptive delayed feedback synchronization (FADFS) method, for time-delayed chaotic systems with uncertain parameters. An FADFS controller that is based on the LyapunovKrasovskii theory, TakagiSugeno (TS) fuzzy model, and delayed feedback control is developed to guarantee adaptive synchronization. The proposed controller can be obtained by solving the linear matrix inequality (LMI) problem. A numerical example using a time-delayed Lorenz system is discussed to assess the validity of the proposed FADFS method.

Original languageEnglish
Pages (from-to)3253-3267
Number of pages15
JournalInternational Journal of Modern Physics B
Volume25
Issue number23-24
DOIs
Publication statusPublished - 2011 Sep 30
Externally publishedYes

    Fingerprint

Keywords

  • Adaptive synchronization
  • LyapunovKrasovskii theory
  • TakagiSugeno (TS) fuzzy model
  • delayed feedback control
  • linear matrix inequality (LMI)
  • time-delayed chaotic systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Cite this