T-S fuzzy H synchronization for chaotic systems via delayed output feedback control

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48 Citations (Scopus)

Abstract

In this paper, we propose a new H synchronization strategy, called a fuzzy delayed output feedback H synchronization (FDOFHS) strategy, for chaotic systems in the presence of external disturbance. Based on Lyapunov-Krasovskii theory, the T-S fuzzy model, and a delayed feedback control scheme, the FDOFHS controller can guarantee stable synchronization. Furthermore, this controller reduces 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 simulation study is presented to demonstrate the validity of the proposed FDOFHS approach.

Original languageEnglish
Pages (from-to)535-543
Number of pages9
JournalNonlinear Dynamics
Volume59
Issue number4
DOIs
Publication statusPublished - 2010 Mar
Externally publishedYes

Keywords

  • Chaotic systems
  • Delayed output feedback control
  • H synchronization
  • Linear matrix inequality (LMI)
  • Takagi-Sugeno (T-S) fuzzy model

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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