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Báo cáo hóa học: " Research Article A T-S Fuzzy Model-Based Adaptive Exponential Synchronization Method for Uncertain "

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A T-S Fuzzy Model-Based Adaptive Exponential Synchronization Method for Uncertain | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010 Article ID 168962 14 pages doi 10.1155 2010 168962 Research Article A T-S Fuzzy Model-Based Adaptive Exponential Synchronization Method for Uncertain Delayed Chaotic Systems An LMI Approach Choon Ki Ahn Department of Automotive Engineering Seoul National University of Science and Technology 172 Gongneung 2-dong Nowon-gu Seoul 139-743 Republic of Korea Correspondence should be addressed to Choon Ki Ahn hironaka@snut.ac.kr Received 22 April 2010 Revised 30 July 2010 Accepted 21 September 2010 Academic Editor Ondrej Dosly 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. 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. 1. Introduction Chaos synchronization is an important subject both theoretically and practically for applications requiring oscillations out of chaos machine and building structural stability analysis chaos generators design and so on. Chaos synchronization first described by Fujisaka and Yamada 1 in 1983 did not received great attention until 1990 2 . From then on chaos synchronization has been developed extensively due to its various applications 3 . During the last decade several techniques for handling chaos synchronization have been developed such as variable .