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

作　　者：贾茹 汪刚[1] 宋华东 JIA Ru;WANG Gang;SONG Hua-dong(School of Information Science and Engineering,Northeastern University,Shenyang Liaoning 110003,China;Shenyang Instrument Science Research Institute,China Machinery(Equipment)Group Company,Shenyang Liaoning 110043,China)

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110003 [2]中国机械(装备)集团公司沈阳仪表科学研究院,辽宁沈阳110043

出　　处：《控制理论与应用》2018年第3期317-323,共7页Control Theory & Applications

基　　金：国家自然科学基金项目(61374124;61473069)资助~~

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.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.

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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]