Department of Automotive Engineering, Seoul National University of Science and Technology, 172 Gongneung 2-dong, Nowon-gu, Seoul 139-743, Republic of Korea
Copyright © 2010 Choon Ki Ahn. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.