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一类MIMO非线性系统的直接自适应模糊滑模控制
引用本文:张天平,朱 清,杨月全. 一类MIMO非线性系统的直接自适应模糊滑模控制[J]. 控制理论与应用, 2003, 20(4): 560-564
作者姓名:张天平  朱 清  杨月全
作者单位:扬州大学,信息工程学院,计算机系,江苏,扬州,225009
基金项目:国家自然科学基金(60074013); 江苏省教育厅高校科研基金(00KJB510006); 扬州大学信息科学学科群(ISG030606)资助项目.
摘    要:针对一类具有下三角形函数控制增益矩阵的非线性系统, 基于滑模控制原理, 并利用Ⅱ型模糊系统的逼近能力, 提出了一种直接自适应模糊滑模控制器设计的新方案. 通过引入积分型李雅普诺夫函数及逼近误差自适应补偿项, 证明了闭环系统是全局稳定的, 跟踪误差收敛到零. 仿真结果表明了该方法的有效性.

关 键 词:非线性系统   模糊控制   滑模控制   自适应控制   全局稳定性
文章编号:1000-8152(2003)04-0560-05
收稿时间:2001-06-30
修稿时间:2001-06-30

Direct adaptive fuzzy sliding mode control for a class of MIMO nonlinear systems
ZHANG Tian-ping,ZHU Qing and YANG Yue-quan. Direct adaptive fuzzy sliding mode control for a class of MIMO nonlinear systems[J]. Control Theory & Applications, 2003, 20(4): 560-564
Authors:ZHANG Tian-ping  ZHU Qing  YANG Yue-quan
Affiliation:Department of Computer Science, College of Information Engineering, Yangzhou University, Jiangsu Yangzhdu 225009, China;Department of Computer Science, College of Information Engineering, Yangzhou University, Jiangsu Yangzhdu 225009, China;Department of Computer Science, College of Information Engineering, Yangzhou University, Jiangsu Yangzhdu 225009, China
Abstract:A new scheme of direct adaptive fuzzy sliding mode controller was proposed for a class of nonlinear systems with a triangular control structure. The design was based on the principle of sliding mode control and the approximation capability of the second type fuzzy systems. By introducing integral-type Lyapunov function and adopting the adaptive compensation term of optimal approximation error, the closed-loop control system was proved to be globally stable, with tracking error converging to zero. Simulation results demonstrate the effectiveness of the approach.
Keywords:nonlinear systems   fuzzy control   sliding mode control   adaptive control   global stability
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