Anticontrol of chaos for discrete TS fuzzy systems

Zhong Li, Jin Bae Park, Young Hoon Joo, Yoon Ho Choi, Guanrong Chen

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.

Original languageEnglish
Pages (from-to)249-253
Number of pages5
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume49
Issue number2
DOIs
Publication statusPublished - 2002 Feb 1

Fingerprint

Fuzzy systems
Chaos theory
Controllers
Compensation and Redress

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Li, Zhong ; Park, Jin Bae ; Joo, Young Hoon ; Choi, Yoon Ho ; Chen, Guanrong. / Anticontrol of chaos for discrete TS fuzzy systems. In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 2002 ; Vol. 49, No. 2. pp. 249-253.
@article{0baeaea91b094579a9e044b73067039e,
title = "Anticontrol of chaos for discrete TS fuzzy systems",
abstract = "In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.",
author = "Zhong Li and Park, {Jin Bae} and Joo, {Young Hoon} and Choi, {Yoon Ho} and Guanrong Chen",
year = "2002",
month = "2",
day = "1",
doi = "10.1109/81.983873",
language = "English",
volume = "49",
pages = "249--253",
journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",
issn = "1549-8328",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

Anticontrol of chaos for discrete TS fuzzy systems. / Li, Zhong; Park, Jin Bae; Joo, Young Hoon; Choi, Yoon Ho; Chen, Guanrong.

In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 49, No. 2, 01.02.2002, p. 249-253.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Anticontrol of chaos for discrete TS fuzzy systems

AU - Li, Zhong

AU - Park, Jin Bae

AU - Joo, Young Hoon

AU - Choi, Yoon Ho

AU - Chen, Guanrong

PY - 2002/2/1

Y1 - 2002/2/1

N2 - In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.

AB - In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.

UR - http://www.scopus.com/inward/record.url?scp=0036475790&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036475790&partnerID=8YFLogxK

U2 - 10.1109/81.983873

DO - 10.1109/81.983873

M3 - Article

AN - SCOPUS:0036475790

VL - 49

SP - 249

EP - 253

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

SN - 1549-8328

IS - 2

ER -