引用本文:刘晓东, 张庆灵.模糊系统H∞控制器设计的LMI方法[J].控制理论与应用,2004,21(1):120~124.[点击复制]
LIU Xiao-dong, ZHANG Qing-ling.LMI-based H-infinity control design for T-S fuzzy systems[J].Control Theory and Technology,2004,21(1):120~124.[点击复制]
模糊系统H∞控制器设计的LMI方法
LMI-based H-infinity control design for T-S fuzzy systems
摘要点击 2353  全文点击 1897  投稿时间：2001-12-31  修订日期：2003-07-01
查看全文  查看/发表评论  下载PDF阅读器
DOI编号  10.7641/j.issn.1000-8152.2004.1.025
  2004,21(1):120-124
中文关键词  H∞控制  T-S模糊系统  二次稳定  线性矩阵不等式(LMI)  状态反馈
英文关键词  H∞-control  T-S fuzzy system  quadratic stability  linear matrix inequalities  state feedback
基金项目  国家自然科学基金项目(60174014); 大连海事大学自选项目.
作者单位
刘晓东, 张庆灵 大连海事大学 数理系,辽宁 大连 116024
东北大学 理学院,辽宁 沈阳 110004 
中文摘要
      应用LMI(线性矩阵不等式)方法,研究了T-S模糊系统H∞控制器的设计问题.首先给出了T-S模糊系统基于状态反馈H∞控制存在的两个新的充分条件.新条件不但简洁而且把模糊子系统间的相互作用表示为由子系统的系数矩阵构成的矩阵不等式.然后新条件被转化为可直接应用Matlab求解的线性矩阵不等式.最后应用线性矩阵不等式方法和Matlab,给出了T-S模糊系统H∞控制器的设计方法.
英文摘要
      Using the LMI (linear matrix inequality) methods, the problem of H_∞ control design for T-S fuzzy systems was studied. Firstly two new sufficient conditions in terms of matrix inequalities, which guaranteed the existence of the state feedback H_∞ control for the T-S fuzzy systems, were proposed. The conditions were simple and also had the interactions among the fuzzy subsystems as matrix inequalities composed by the coefficient matrices of the subsystems. Secondly the new conditions were converted to the LMIs which could be solved by MATLAB. Finally applying the LMIs and Matlab, the controller designing method for the H_∞ controller of the T-S fuzzy systems was given.