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基于时滞划分法的T-S模糊系统的稳定性分析 被引量：1

Stability Analysis of T-S Fuzzy Systems Based on Time-varying Delay Decomposition Approach
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摘要 针对一类具有时变时滞的Takagi-Sugeno模糊系统的稳定性问题,采用时滞划分法,充分利用区间时滞的内部信息,用可变参数m(0<m<1)将时滞区间进行划分。同时对一些现有文献中的Lyapunov-Krasovskii(L-K)泛函做进一步改进,给出一个具有较小保守性的T-S模糊系统的时滞相关稳定性判据,最后用数值实例验证了判据的有效性。 Aiming at the stability problem of a class of Takagi-Sugeno fuzzy systems with time-varying delays,the time-varying delay decomposition approach is adopted.The internal information of the time-varying delay is fully utilized and the time-varying delay is divided according to a variable parameter m(0<m<1).Meanwhile,the existing Lyapunov-Krasovskii(L-K)functional has been further improved,a less conservative delay-dependent stability criterion is given for T-S fuzzy system with time-varying delays.Finally,the validity of the criterion is verified by using numerical examples.
作者 李严鹏 姜偕富 王芳 吴金晶 LI Yanpeng;JIANG Xiefu;WANG Fang;WU Jinjing(School of Automation,Hangzhou Dianzi University,Hangzhou Zhejiang310018,China)
机构地区 杭州电子科技大学自动化学院
出处 《杭州电子科技大学学报（自然科学版）》 2019年第5期35-40,共6页 Journal of Hangzhou Dianzi University：Natural Sciences
基金 国家自然科学基金资助项目(61673148) 浙江省自然科学基金重点资助项目(LZ13F030001)
关键词 T-S模糊模型 时滞划分法 L-K泛函 线性矩阵不等式 T-S fuzzy model time-varying delay decomposition approach L-K functional linear matrix inequality
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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杭州电子科技大学学报（自然科学版）
2019年 第5期

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