Robust fuzzy control for chaotic dynamics in Lorenz systems with uncertainties
Wang Yao-Nan (王耀南)a, Tan Wen (谭文)ab, Duan Feng (段峰)a
a College of Electrical and Information Engineering, Hunan University, Changsha 410082, China; b School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China
Abstract 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.
Received: 29 April 2005
Revised: 06 September 2005
Accepted manuscript online:
PACS:
05.45.Gg
(Control of chaos, applications of chaos)
Fund: Project supported by the National Natural Science Foundation of China(Grant No 60375001), the HunanProvincial Natural Science Foundation, China(Grant No 03JJY3107) and the Scientific Research Funds of Hunan Provincial Education Department.
Cite this article:
Wang Yao-Nan (王耀南), Tan Wen (谭文), Duan Feng (段峰) Robust fuzzy control for chaotic dynamics in Lorenz systems with uncertainties 2006 Chinese Physics 15 89
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