Robust fuzzy control for chaotic dynamics in Lorenz systems with uncertainties

作     者：王耀南 谭文 段峰 

作者机构：College of Electrical and Information Engineering Hunan University Changsha 410082 China School of Information and Electrical Engineering Hunan University of Science and Technology Xiangtan 411201 China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2006年第15卷第1期

页      面：89-94页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grunt No 60375001)  the Hunan Provincial Natural Science Foundation  China(Grant No 03JJY3107) and the Scientific Research Funds of Hunan Provincial Education Department 

主　　题：chaos Takagi-Sugeno fuzzy model robust control linear matrix inequality 

摘      要：This paper deals with the robust fuzzy control for chaotic systems in the presence of parametric uncertainties. An uncertain Takagi-Sugeno fuzzy model for a Lorenz chaotic system is first constructed. Then a robust fuzzy state feedback control scheme ensures the control for stable operations under bounded parametric uncertainties. For a chaotic system with known uncertainty bounds, a robust fuzzy regulator is designed by choosing the control parameters satisfying the linear matrix inequality. To verify the validity and effectiveness of the proposed controller design method, an analysis technique is suggested and applied to the control of an uncertain Lorenz chaotic system.