Fuzzy H synchronization for chaotic systems with time-varying delay

Research output: Contribution to journalArticle

Abstract

In this paper, we propose a newH synchronization method for fuzzy model based chaotic systems with external disturbance and time-varying delay. Based on Lyapunov-Krasovskii theory, Takagi-Sugeno (TS) fuzzy model, and linear matrix inequality (LMI) approach, the H synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. A simulation study is presented to demonstrate the validity of the proposed approach.

Original languageEnglish
Pages (from-to)151-160
Number of pages10
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume66
Issue number3-4
Publication statusPublished - 2011 Apr 6
Externally publishedYes

Fingerprint

Chaotic systems
Time-varying Delay
Chaotic System
synchronism
Synchronization
Linear matrix inequalities
Matrix Inequality
Linear Inequalities
controllers
disturbances
Disturbance
Controller
Controllers
Takagi-Sugeno Fuzzy Model
Convex optimization
Fuzzy Model
Convex Optimization
norms
Lyapunov
Simulation Study

Keywords

  • Chaotic systems
  • H synchronization
  • Lyapunov-Krasovskii theory
  • Takagi-Sugeno (TS) fuzzy model
  • Time-varying delay

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Fuzzy H synchronization for chaotic systems with time-varying delay. / Ahn, Choon Ki.

In: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, Vol. 66, No. 3-4, 06.04.2011, p. 151-160.

Research output: Contribution to journalArticle

@article{0e282daa54394c1fa6221539aa95fcb5,
title = "Fuzzy H ∞ synchronization for chaotic systems with time-varying delay",
abstract = "In this paper, we propose a newH ∞ synchronization method for fuzzy model based chaotic systems with external disturbance and time-varying delay. Based on Lyapunov-Krasovskii theory, Takagi-Sugeno (TS) fuzzy model, and linear matrix inequality (LMI) approach, the H ∞ synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H ∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. A simulation study is presented to demonstrate the validity of the proposed approach.",
keywords = "Chaotic systems, H synchronization, Lyapunov-Krasovskii theory, Takagi-Sugeno (TS) fuzzy model, Time-varying delay",
author = "Ahn, {Choon Ki}",
year = "2011",
month = "4",
day = "6",
language = "English",
volume = "66",
pages = "151--160",
journal = "Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences",
issn = "0932-0784",
publisher = "Verlag der Zeitschrift fur Naturforschung",
number = "3-4",

}

TY - JOUR

T1 - Fuzzy H ∞ synchronization for chaotic systems with time-varying delay

AU - Ahn, Choon Ki

PY - 2011/4/6

Y1 - 2011/4/6

N2 - In this paper, we propose a newH ∞ synchronization method for fuzzy model based chaotic systems with external disturbance and time-varying delay. Based on Lyapunov-Krasovskii theory, Takagi-Sugeno (TS) fuzzy model, and linear matrix inequality (LMI) approach, the H ∞ synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H ∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. A simulation study is presented to demonstrate the validity of the proposed approach.

AB - In this paper, we propose a newH ∞ synchronization method for fuzzy model based chaotic systems with external disturbance and time-varying delay. Based on Lyapunov-Krasovskii theory, Takagi-Sugeno (TS) fuzzy model, and linear matrix inequality (LMI) approach, the H ∞ synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H ∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. A simulation study is presented to demonstrate the validity of the proposed approach.

KW - Chaotic systems

KW - H synchronization

KW - Lyapunov-Krasovskii theory

KW - Takagi-Sugeno (TS) fuzzy model

KW - Time-varying delay

UR - http://www.scopus.com/inward/record.url?scp=79953280294&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953280294&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:79953280294

VL - 66

SP - 151

EP - 160

JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

SN - 0932-0784

IS - 3-4

ER -