应用科学学报

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一类非线性系统的自适应模糊观测器设计

王永富1, 2, 赵 宏2, 刘积仁2, 柴天佑3   

  1. 1.东北大学 机械工程与自动化学院, 辽宁 沈阳 110004;
    2. 东北大学 软件中心, 辽宁 沈阳 110004;

    3. 东北大学 自动化中心, 辽宁 沈阳 110004

  • 收稿日期:2007-06-18 修回日期:2007-08-26 出版日期:2008-01-31 发布日期:2008-01-31

Adaptive Fuzzy Observer Design for a Class of Nonlinear System

WANG Yong-fu1, 2, ZHAO Hong2, LIU Ji-ren2, CHAI Tian-you3   

  1. 1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, China;
    2. Software Center, Northeastern University, Shenyang 110004, China;
    3. Automation Center, Northeastern University, Shenyang 110004, China
  • Received:2007-06-18 Revised:2007-08-26 Online:2008-01-31 Published:2008-01-31

摘要: 针对一类不确定非线性系统提出了自适应模糊观测器设计方法。该观测器采用模糊系统逼近非线性函数,它不要求被观测对象结构和参数已知的条件,并对估计误差、模糊逼近误差和外扰的存在采用了鲁棒监督项以保证良好的观测性能,该观测器是对非线性广义Luenberger自适应观测器的一种扩展。该方法的有效性得到理论证明和仿真实验的验证。

关键词: 模糊系统, 状态观测器, 非线性系统, 自适应

Abstract: We propose a method of adaptive fuzzy observer design for a class of uncertain nonlinear systems. The observer uses fuzzy system to approximate nonlinear functions so that the structure and parameters of the observed object are not needed in the design. The estimation error, approximation error and external disturbance are supervised by a robust term to provide favorable observation performance. This observer is an extension for the nonlinear Luenberger adaptive observer. Effectiveness of the method is proven theoretically and verified in simulation.

Key words: fuzzy system, state observer, nonlinear system, adaptive