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

页码：11649 / 11660

页数：12

共 50 条

[11] On Stability and Stabilization of T-S Fuzzy Systems With Time-Varying Delays via Quadratic Fuzzy Lyapunov Matrix
Li, Guiling
Peng, Chen
Xie, Xiangpeng
Xie, Shaorong
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (09) : 3762 - 3773
[12] Robust dissipative control for T-S fuzzy systems with time-varying delays
Li, Yan-Jing
Fu, Yan-Ming
Duan, Guang-Ren
2006 IEEE INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS, VOLS 1-7, 2006, : 97 - +
[13] Robust passive control for T-S fuzzy systems with time-varying delays
Li, Yan-Jiang
Duan, Guang-Ren
Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2008, 30 (11): : 2224 - 2230
[14] Guaranteed cost control for T-S fuzzy systems with time-varying delays
Kang Q.
Wang W.
Journal of Control Theory and Applications, 2010, 8 (4): : 413 - 417
[15] Stability for NCSs with T-S fuzzy systems and interval time-varying
Lu, Hongqian
Liu, Xingping
Wang, Renren
Chen, Hongwei
PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 4303 - 4306
[16] Robust stability of uncertain T-S fuzzy time-varying systems
Sun, Yeong-Jeu
CHAOS SOLITONS & FRACTALS, 2009, 39 (04) : 1588 - 1594
[17] Fuzzy Dissipative Filter Design for T-S Descriptor Systems with Time-Varying Delay
Zhu, B. Y.
Zhang, Q. L.
Da, K. N.
Liu, A. B.
2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 695 - 700
[18] Further Results on Stability Analysis of T-S Fuzzy Systems With Time-Varying Delay
Wang, Wei-Min
Wang, Yan-Wu
Zeng, Hong-Bing
Huang, Jian
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2024, 32 (06) : 3529 - 3541
[19] STABILITY ANALYSIS FOR T-S FUZZY DELAYED SWITCHED SYSTEMS WITH TIME-VARYING PERTURBATION
Ding, Xiuyong
Shu, Lan
COMPUTATIONAL INTELLIGENCE: FOUNDATIONS AND APPLICATIONS: PROCEEDINGS OF THE 9TH INTERNATIONAL FLINS CONFERENCE, 2010, 4 : 288 - 293
[20] Exponential stability analysis and l1 synthesis of positive T-S fuzzy systems with time-varying delays
Meng, Min
Lam, James
Feng, Jun-e
Zhao, Xudong
Chen, Xiaoming
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 24 : 186 - 197

← 1 2 3 4 5 →