Robust fuzzy control for chaotic dynamics in Lorenz systems with uncertainties

• 来源期刊: 中国物理（英文版）
• 关键词: chaos Takagi-Sugeno fuzzy model robust control linear matrix inequality
• 年，卷（期）: 2006,（1）
• 页码范围: 89-94
• 页数: 6页
• 语种: 英文

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.