Fuzzy delayed output feedback synchronization for time-delayed chaotic systems

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46 Citations (Scopus)

Abstract

In this paper, we propose a new fuzzy delayed output feedback synchronization (FDOFS) method for time-delayed chaotic systems. Based on Lyapunov-Krasovskii theory, T-S fuzzy model, and delayed feedback control scheme, the FDOFS controller is designed and an analytic expression of the controller is shown. The proposed controller can guarantee asymptotical synchronization of both drive and response systems. The FDOFS 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 FDOFS method.

Original languageEnglish
Pages (from-to)16-24
Number of pages9
JournalNonlinear Analysis: Hybrid Systems
Volume4
Issue number1
DOIs
Publication statusPublished - 2010 Feb
Externally publishedYes

Keywords

  • Chaos synchronization
  • Delayed output feedback control
  • Linear matrix inequality (LMI)
  • Lyapunov-Krasovskii theory
  • Takagi-Sugeno (T-S) fuzzy model
  • Time-delayed chaotic systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

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