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

Choon Ki Ahn; Jung Hun Park

doi:10.1142/S021798491002224X

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 journal › Article › peer-review

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 language	English
Pages (from-to)	211-224
Number of pages	14
Journal	Modern Physics Letters B
Volume	24
Issue number	2
DOIs	https://doi.org/10.1142/S021798491002224X
Publication status	Published - 2010 Jan 20
Externally published	Yes

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

Access to Document

10.1142/S021798491002224X

Cite this

@article{c2ad27050a0741238db0689a5bfeeb23,

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

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.",

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

author = "Ahn, {Choon Ki} and Park, {Jung Hun}",

note = "Funding Information: This paper was supported by the Wonkwang University in 2009.",

year = "2010",

month = jan,

day = "20",

doi = "10.1142/S021798491002224X",

language = "English",

volume = "24",

pages = "211--224",

journal = "Modern Physics Letters B",

issn = "0217-9849",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "2",

}

TY - JOUR

T1 - Delayed feedback H∞ synchronization for time-delayed chaotic systems based on t-s fuzzy model

AU - Ahn, Choon Ki

AU - Park, Jung Hun

N1 - Funding Information: This paper was supported by the Wonkwang University in 2009.

PY - 2010/1/20

Y1 - 2010/1/20

N2 - 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.

AB - 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.

KW - Delayed feedback control

KW - H∞synchronization

KW - Linear matrix inequality (LMI)

KW - TakagiSugeno (T-S) fuzzy model

KW - Time-delayed chaotic systems

UR - http://www.scopus.com/inward/record.url?scp=77951613552&partnerID=8YFLogxK

U2 - 10.1142/S021798491002224X

DO - 10.1142/S021798491002224X

M3 - Article

AN - SCOPUS:77951613552

SN - 0217-9849

VL - 24

SP - 211

EP - 224

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this