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] |
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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 2322 全文点击 1202 投稿时间:2016-11-21 修订日期:2017-10-09 |
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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. |
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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. |