Robust Fuzzy Control for Chaotic (Hyperchaotic) Systems with Parametric Uncertainties Based on LMI Technique
A novel robust fuzzy controller design method is proposed to stabilize a class of chaotic (hyperchaotic) systems with uncertain parameters based on their equivalent T-S fuzzy models. In this method, the interval system theory is applied to deal with the parametric uncertainty firstly, and then a fuzzy state feedback controller is designed to stabilize the equilibrium of the uncertain chaotic (hyperchaotic) systems robustly based on Exact Linearization (EL) theory and Parallel Distributed Compensation (PDC) technique. Moreover, the sufficient criterion for the robust stability of the equilibrium of the controlled uncertain chaotic (hyperchaotic) systems is derived by Lyapunov stability theory and LMI technique. The designed controller with simple structure and rapid response can stabilize many kinds of uncertain chaotic or hyperchaotic systems. Simulation results are presented to demonstrate the effectiveness of the proposed method.
Chaotic (Hyperchaotic) System Parametric Uncertainties T–S Fuzzy Model LMI Robust Fuzzy Control
Yan Zhao Qiuye Sun Zhiliang Wang Xichang Han
Department of Automatic Control Engineering, Shenyang Institute of Engineering, Shenyang 110136, Chi College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
344-348
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）