Positivity and Stability Analysis of T-S Fuzzy Descriptor Systems With Bounded and Unbounded Time-Varying Delays

被引：14
作者：
Cui, Yukang [1 ,2 ]
Feng, Hao [1 ,2 ]
Zhang, Wei [3 ]
Shu, Zhan [4 ]
Huang, Tingwen [5 ]
机构：
[1] Shenzhen Univ, Coll Mechatron & Control Engn, Guangdong Key Lab Electromagnet Control & Intelli, Shenzhen 518060, Peoples R China
[2] Peng Cheng Lab, Shenzhen 518000, Peoples R China
[3] Chongqing Three Gorges Univ, Key Lab Intelligent Informat Proc & Control, Chongqing 404100, Peoples R China
[4] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2R3, Canada
[5] Texas A&M Univ Qatar, Dept Sci, Doha, Qatar
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2022年 / 52卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Delays; Time-varying systems; Stability criteria; Asymptotic stability; Fuzzy systems; Trajectory; Nonlinear dynamical systems; positive systems; Takagi-Sugeno (T-S) fuzzy descriptor systems; unbounded time-varying delay; SLIDING MODE CONTROL; L(INFINITY)-GAIN ANALYSIS; SINGULAR SYSTEMS; CONTROLLER;
D O I：
10.1109/TCYB.2021.3072392
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This work focuses on the stability analysis of positive Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delays. An equivalent augmented system is constructed to investigate the positivity and stability of T-S fuzzy descriptor time-delay systems. By using this transformed system, a necessary and sufficient positivity condition is first derived for systems, which can be verified by linear programming (LP). Then, based on the positivity of T-S fuzzy descriptor systems, a sufficient condition is put forward for the asymptotic stability of systems with bounded and unbounded time-varying delays. Finally, several examples are provided to show the effectiveness of the obtained results.
引用
收藏
页码：11649 / 11660
页数：12
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