引用本文:罗艳斌,姜偕富,钟伟民.约束T-S模糊系统设计的模糊Lyapunov方法[J].控制理论与应用,2010,27(12):1777~1782.[点击复制]
LUO Yan-bin,JIANG Xie-fu,ZHONG Wei-min.A fuzzy Lyapunov approach for constrained T-S fuzzy systems design[J].Control Theory and Technology,2010,27(12):1777~1782.[点击复制]
约束T-S模糊系统设计的模糊Lyapunov方法
A fuzzy Lyapunov approach for constrained T-S fuzzy systems design
摘要点击 1618  全文点击 977  投稿时间：2010-05-06  修订日期：2010-07-24
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DOI编号  10.7641/j.issn.1000-8152.2010.12.PCTA100518
  2010,27(12):1777-1782
中文关键词  离散Takagi-Sugeno模糊系统  模糊Lyapunov函数  模糊抗积分饱和补偿器  吸引域
英文关键词  discrete-time Takagi-Sugeno fuzzy systems  fuzzy Lyapunov function  fuzzy anti-windup compensator  domain of attraction
基金项目  Supported by the National Science Foundation of China(60774058, 60904058, 60804029).
作者单位E-mail
罗艳斌* 杭州电子科技大学 自动化学院 ybluo@hdu.edu.cn 
姜偕富 杭州电子科技大学 自动化学院  
钟伟民 华东理工大学 化工过程先进控制与优化重点实验  
中文摘要
      通过引入模糊Lyapunov函数, 研究一类执行器饱和的离散T-S模糊系统. 对系统设计模糊抗积分饱和补偿器, 得到系统稳定的充分条件, 并扩大了系统的吸引域. 这种方法避免了寻求一个满足系统所有模糊规则的公共正定矩阵P. 最后, 抗积分饱和补偿器增益通过迭代优化算法得到.
英文摘要
      A class of discrete-time T-S fuzzy systems subject to input saturation is studied by introducing a fuzzy Lyapunov function. A sufficient condition that ensures the stability at the system origin is derived; and the domain of attraction may be enlarged by applying a fuzzy anti-windup compensator to the considered system. This method avoids the difficulty in seeking a common positive-definite matrix P satisfying all fuzzy rules of this system. Moreover, an iterative optimization algorithm for obtaining the anti-windup compensator gain is given.