A T-S fuzzy model-based adaptive exponential synchronization method for uncertain delayed chaotic systems: An LMI approach

Choon Ki Ahn

doi:10.1155/2010/168962

A T-S fuzzy model-based adaptive exponential synchronization method for uncertain delayed chaotic systems: An LMI approach

Choon Ki Ahn

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper proposes a new fuzzy adaptive exponential synchronization controller for uncertain time-delayed chaotic systems based on Takagi-Sugeno (T-S) fuzzy model. This synchronization controller is designed based on Lyapunov-Krasovskii stability theory, linear matrix inequality (LMI), and Jesen's inequality. An analytic expression of the controller with its adaptive laws of parameters is shown. The proposed controller can be obtained by solving the LMI problem. A numerical example for time-delayed Lorenz system is presented to demonstrate the validity of the proposed method.

Original language	English
Article number	168962
Journal	Journal of Inequalities and Applications
Volume	2010
DOIs	https://doi.org/10.1155/2010/168962
Publication status	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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title = "A T-S fuzzy model-based adaptive exponential synchronization method for uncertain delayed chaotic systems: An LMI approach",

abstract = "This paper proposes a new fuzzy adaptive exponential synchronization controller for uncertain time-delayed chaotic systems based on Takagi-Sugeno (T-S) fuzzy model. This synchronization controller is designed based on Lyapunov-Krasovskii stability theory, linear matrix inequality (LMI), and Jesen's inequality. An analytic expression of the controller with its adaptive laws of parameters is shown. The proposed controller can be obtained by solving the LMI problem. A numerical example for time-delayed Lorenz system is presented to demonstrate the validity of the proposed method.",

author = "Ahn, {Choon Ki}",

note = "Funding Information: This work was supported by the grant of the Korean Ministry of Education, Science and Technology (The Regional Core Research Program/Center for Healthcare Technology Development).",

year = "2010",

doi = "10.1155/2010/168962",

language = "English",

volume = "2010",

journal = "Journal of Inequalities and Applications",

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T1 - A T-S fuzzy model-based adaptive exponential synchronization method for uncertain delayed chaotic systems

T2 - An LMI approach

AU - Ahn, Choon Ki

N1 - Funding Information: This work was supported by the grant of the Korean Ministry of Education, Science and Technology (The Regional Core Research Program/Center for Healthcare Technology Development).

PY - 2010

Y1 - 2010

N2 - This paper proposes a new fuzzy adaptive exponential synchronization controller for uncertain time-delayed chaotic systems based on Takagi-Sugeno (T-S) fuzzy model. This synchronization controller is designed based on Lyapunov-Krasovskii stability theory, linear matrix inequality (LMI), and Jesen's inequality. An analytic expression of the controller with its adaptive laws of parameters is shown. The proposed controller can be obtained by solving the LMI problem. A numerical example for time-delayed Lorenz system is presented to demonstrate the validity of the proposed method.

AB - This paper proposes a new fuzzy adaptive exponential synchronization controller for uncertain time-delayed chaotic systems based on Takagi-Sugeno (T-S) fuzzy model. This synchronization controller is designed based on Lyapunov-Krasovskii stability theory, linear matrix inequality (LMI), and Jesen's inequality. An analytic expression of the controller with its adaptive laws of parameters is shown. The proposed controller can be obtained by solving the LMI problem. A numerical example for time-delayed Lorenz system is presented to demonstrate the validity of the proposed method.

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U2 - 10.1155/2010/168962

DO - 10.1155/2010/168962

M3 - Article

AN - SCOPUS:79251632218

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VL - 2010

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 168962

ER -

A T-S fuzzy model-based adaptive exponential synchronization method for uncertain delayed chaotic systems: An LMI approach

Abstract

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