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

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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 languageEnglish
Article number168962
JournalJournal of Inequalities and Applications
Volume2010
DOIs
Publication statusPublished - 2010 Dec 1
Externally publishedYes

Fingerprint

Exponential Synchronization
Adaptive Synchronization
Takagi-Sugeno Fuzzy Model
Chaotic systems
Linear matrix inequalities
Chaotic System
Matrix Inequality
Linear Inequalities
Synchronization
Model-based
Controller
Controllers
Lorenz System
Stability Theory
Lyapunov
Numerical Examples
Demonstrate

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

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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.",
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