T-S fuzzy model-based synchronization of time-delay chaotic system with input saturation

Jae Hun Kim, Hyunseok Shin, Euntai Kim, Mignon Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper presents a fuzzy model-based approach for synchronization of time-delay chaotic system with input saturation. Time-delay chaotic drive and response system is respectively represented by Takagi-Sugeno (T-S) fuzzy model. Specially, the response system contains input saturation. Using the unidirectional linear error feedback and the parallel distributed compensation (PDC) scheme, we design fuzzy chaotic synchronization system and analyze local stability for synchronization error dynamics. Since time-delay in the transmission channel always exists, we also take it into consideration. The sufficient condition for the local stability of the fuzzy synchronization system with input saturation and channel time-delay is derived by applying Lyapunov-Krasovskii theory and solving linear matrix inequalities (LMI's) problem. Numerical examples are given to demonstrate the validity of the proposed approach.

Original languageEnglish
Pages (from-to)3372-3380
Number of pages9
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE87-A
Issue number12
Publication statusPublished - 2004 Jan 1

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Input Saturation
Takagi-Sugeno Fuzzy Model
Chaotic systems
Time-delay Systems
Chaotic System
Time delay
Synchronization
Model-based
Time Delay
Local Stability
Chaotic Synchronization
Fuzzy Model
Linear matrix inequalities
Lyapunov
Matrix Inequality
Linear Inequalities
Feedback
Numerical Examples
Sufficient Conditions
Demonstrate

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

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abstract = "This paper presents a fuzzy model-based approach for synchronization of time-delay chaotic system with input saturation. Time-delay chaotic drive and response system is respectively represented by Takagi-Sugeno (T-S) fuzzy model. Specially, the response system contains input saturation. Using the unidirectional linear error feedback and the parallel distributed compensation (PDC) scheme, we design fuzzy chaotic synchronization system and analyze local stability for synchronization error dynamics. Since time-delay in the transmission channel always exists, we also take it into consideration. The sufficient condition for the local stability of the fuzzy synchronization system with input saturation and channel time-delay is derived by applying Lyapunov-Krasovskii theory and solving linear matrix inequalities (LMI's) problem. Numerical examples are given to demonstrate the validity of the proposed approach.",
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T-S fuzzy model-based synchronization of time-delay chaotic system with input saturation. / Kim, Jae Hun; Shin, Hyunseok; Kim, Euntai; Park, Mignon.

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E87-A, No. 12, 01.01.2004, p. 3372-3380.

Research output: Contribution to journalArticle

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