Decentralized sampled-data H fuzzy filter for nonlinear large-scale systems

Ho Jun Kim, Geun Bum Koo, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

This paper presents a decentralized sampled-data H fuzzy filter design method for nonlinear large-scale systems which are represented by a Takagi-Sugeno (T-S) fuzzy model. Based on the T-S fuzzy model, the error system between the nonlinear large-scale system and the filter is obtained. The discretization process of the error system is accomplished with the exact discrete-time approach to eliminate the exact-approximate mismatch. By using the discrete-time Lyapunov sense, the sufficient condition of the asymptotic stability for the error system is given and a prescribed level of the H norm is ensured to guarantee the H fuzzy filter performance. Finally, numerical examples are given to show the effectiveness of the proposed methods.

Original languageEnglish
Pages (from-to)68-86
Number of pages19
JournalFuzzy Sets and Systems
Volume273
DOIs
Publication statusPublished - 2015 Aug 15

Fingerprint

Fuzzy filters
Fuzzy Filter
Large-scale Systems
Decentralized
Large scale systems
Takagi-Sugeno Fuzzy Model
Nonlinear Systems
Discrete-time
Filter Method
Filter Design
Asymptotic stability
Asymptotic Stability
Lyapunov
Design Method
Eliminate
Discretization
Filter
Norm
Numerical Examples
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

Cite this

Kim, Ho Jun ; Koo, Geun Bum ; Park, Jin Bae ; Joo, Young Hoon. / Decentralized sampled-data H fuzzy filter for nonlinear large-scale systems. In: Fuzzy Sets and Systems. 2015 ; Vol. 273. pp. 68-86.
@article{299d0779b1a04ebcb468fbcdbd08f08e,
title = "Decentralized sampled-data H ∞ fuzzy filter for nonlinear large-scale systems",
abstract = "This paper presents a decentralized sampled-data H∞ fuzzy filter design method for nonlinear large-scale systems which are represented by a Takagi-Sugeno (T-S) fuzzy model. Based on the T-S fuzzy model, the error system between the nonlinear large-scale system and the filter is obtained. The discretization process of the error system is accomplished with the exact discrete-time approach to eliminate the exact-approximate mismatch. By using the discrete-time Lyapunov sense, the sufficient condition of the asymptotic stability for the error system is given and a prescribed level of the H∞ norm is ensured to guarantee the H∞ fuzzy filter performance. Finally, numerical examples are given to show the effectiveness of the proposed methods.",
author = "Kim, {Ho Jun} and Koo, {Geun Bum} and Park, {Jin Bae} and Joo, {Young Hoon}",
year = "2015",
month = "8",
day = "15",
doi = "10.1016/j.fss.2014.11.024",
language = "English",
volume = "273",
pages = "68--86",
journal = "Fuzzy Sets and Systems",
issn = "0165-0114",
publisher = "Elsevier",

}

Decentralized sampled-data H fuzzy filter for nonlinear large-scale systems. / Kim, Ho Jun; Koo, Geun Bum; Park, Jin Bae; Joo, Young Hoon.

In: Fuzzy Sets and Systems, Vol. 273, 15.08.2015, p. 68-86.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Decentralized sampled-data H ∞ fuzzy filter for nonlinear large-scale systems

AU - Kim, Ho Jun

AU - Koo, Geun Bum

AU - Park, Jin Bae

AU - Joo, Young Hoon

PY - 2015/8/15

Y1 - 2015/8/15

N2 - This paper presents a decentralized sampled-data H∞ fuzzy filter design method for nonlinear large-scale systems which are represented by a Takagi-Sugeno (T-S) fuzzy model. Based on the T-S fuzzy model, the error system between the nonlinear large-scale system and the filter is obtained. The discretization process of the error system is accomplished with the exact discrete-time approach to eliminate the exact-approximate mismatch. By using the discrete-time Lyapunov sense, the sufficient condition of the asymptotic stability for the error system is given and a prescribed level of the H∞ norm is ensured to guarantee the H∞ fuzzy filter performance. Finally, numerical examples are given to show the effectiveness of the proposed methods.

AB - This paper presents a decentralized sampled-data H∞ fuzzy filter design method for nonlinear large-scale systems which are represented by a Takagi-Sugeno (T-S) fuzzy model. Based on the T-S fuzzy model, the error system between the nonlinear large-scale system and the filter is obtained. The discretization process of the error system is accomplished with the exact discrete-time approach to eliminate the exact-approximate mismatch. By using the discrete-time Lyapunov sense, the sufficient condition of the asymptotic stability for the error system is given and a prescribed level of the H∞ norm is ensured to guarantee the H∞ fuzzy filter performance. Finally, numerical examples are given to show the effectiveness of the proposed methods.

UR - http://www.scopus.com/inward/record.url?scp=84929607215&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929607215&partnerID=8YFLogxK

U2 - 10.1016/j.fss.2014.11.024

DO - 10.1016/j.fss.2014.11.024

M3 - Article

AN - SCOPUS:84929607215

VL - 273

SP - 68

EP - 86

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

ER -