引用本文:贾茹,汪刚,宋华东.一类新的Takagi-Sugeno模糊时滞系统的稳定性准则[J].控制理论与应用,2018,35(3):317~323.[点击复制]
JIA Ru,WANG Gang,SONG Hua-dong.New stability criterion for time-delay Takagi-Sugeno fuzzy systems[J].Control Theory and Technology,2018,35(3):317~323.[点击复制]
一类新的Takagi-Sugeno模糊时滞系统的稳定性准则
New stability criterion for time-delay Takagi-Sugeno fuzzy systems
摘要点击 2061  全文点击 1083  投稿时间：2016-11-21  修订日期：2017-10-09
查看全文  查看/发表评论  下载PDF阅读器
DOI编号  10.7641/CTA.2017.60882
  2018,35(3):317-323
中文关键词  Takagi-Sugeno(T--S)模糊系统  变时滞划分  时滞相关稳定性  稳定性准则  不确定性
英文关键词  Takagi-Sugeno (T--S) fuzzy systems  variable delay partitioning  delay-dependent stability  stability criterion  uncertainties
基金项目  国家自然科学基金项目(61374124, 61473069)资助.
作者单位E-mail
贾茹 东北大学信息科学与工程学院 jiaru.if@foxmail.com 
汪刚* 东北大学信息科学与工程学院 gangwang@ise.neu.edu.cn 
宋华东 沈阳仪表科学研究院有限公司  
中文摘要
      本文提出一种新的时滞划分方法—变时滞划分法, 以解决连续延时Takagi-Sugeno模糊系统的稳定性和镇 定性问题. 不同于已有的文献, 用可变参数将时变时滞区间[0; d(t)]划分为若干个可变子区间, 并得出模糊时滞系统 的新的时滞相关稳定性准则. 本文提出的新方法能充分利用时滞子区间的内部信息, 因此新的时滞相关稳定性准则 比以往结果具有更小的保守性. 基于Lyapunov稳定性理论, 以线性矩阵不等式形式给出T--S模糊系统的新的时滞相 关稳定性准则, 并将稳定性和镇定性研究结果扩展到具有不确定参数的T--S模糊系统. 仿真实例证明了本文方法降 低保守性的有效性.
英文摘要
      A new method, namely, the variable delay partitioning method, is firstly developed to solve the problems of stability analysis and stabilization for continuous time-delay Takagi-Sugeno fuzzy systems. Different from previous results, the delay interval [0; d(t)] is partitioned into some variable subintervals by employing variable delay partitioning method. Thus, new delay-dependent stability criteria for fuzzy time-delay systems are derived by applying this variable delay partitioning method. The proposed method can make full use of the variable subintervals information, so the new delay-dependent stability criteria are less conservative than previous results. Based on the Lyapunov stability theory, a new delay-dependent stability criterion for T--S fuzzy systems is given in the form of linear matrix inequalities (LMIs). Both the stability and stabilization results are further extended to fuzzy time-delay systems with time-varying parameter uncertainties. Illustrative examples are provided to demonstrate the effectiveness for conservatism reduction.