Delayed feedback H∞ synchronization for time-delayed chaotic systems based on t-s fuzzy model

Choon Ki Ahn, Jung Hun Park

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this letter, we propose a new H∞ synchronization method, called a delayed feedback fuzzy H∞ synchronization (DFFHS) method, for time-delayed chaotic systems with external disturbance. Based on LyapunovKrasovskii theory, TS fuzzy model, and delayed feedback control scheme, the DFFHS controller is presented to not only guarantee aymptotical synchronization but also reduce the effect of external disturbance to an H∞ norm constraint. The proposed controller can be obtained by solving the linear matrix inequality (LMI) problem. A numerical example for time-delayed Lorenz system is presented to demonstrate the validity of the proposed DFFHS method.

Original languageEnglish
Pages (from-to)211-224
Number of pages14
JournalModern Physics Letters B
Volume24
Issue number2
DOIs
Publication statusPublished - 2010 Jan 20

Keywords

  • Delayed feedback control
  • H∞synchronization
  • Linear matrix inequality (LMI)
  • TakagiSugeno (T-S) fuzzy model
  • Time-delayed chaotic systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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