A T-S Fuzzy Model-Based Adaptive Exponential Synchronization Method for Uncertain Delayed Chaotic Systems: An LMI Approach

被引：0
|
作者：
ChoonKi Ahn
机构：
[1] Seoul National University of Science and Technology,Department of Automotive Engineering
来源：
Journal of Inequalities and Applications | / 2010卷
关键词：
Chaotic System; Linear Matrix Inequality; Fuzzy Model; Time Delayed System; Synchronization Error;
D O I：
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学科分类号：
摘要：
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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