T-S Fuzzy Model-Based Synchronization of Time-Delay Chaotic System with Input Saturation
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.12 pp.3372-3380
- Publication Date
- 2004/12/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Systems and Control
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Jae-Hun KIM, Hyunseok SHIN, Euntai KIM, Mignon PARK, "T-S Fuzzy Model-Based Synchronization of Time-Delay Chaotic System with Input Saturation" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 12, pp. 3372-3380, December 2004, doi: .
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_12_3372/_p
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@ARTICLE{e87-a_12_3372,
author={Jae-Hun KIM, Hyunseok SHIN, Euntai KIM, Mignon PARK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={T-S Fuzzy Model-Based Synchronization of Time-Delay Chaotic System with Input Saturation},
year={2004},
volume={E87-A},
number={12},
pages={3372-3380},
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.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - T-S Fuzzy Model-Based Synchronization of Time-Delay Chaotic System with Input Saturation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3372
EP - 3380
AU - Jae-Hun KIM
AU - Hyunseok SHIN
AU - Euntai KIM
AU - Mignon PARK
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2004
AB - 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.
ER -
English
