New results for T-S fuzzy systems with hybrid communication delays

被引：26
|
作者：
Cai, Xiao [1 ,2 ]
Shi, Kaibo [2 ,3 ]
She, Kun [1 ]
Zhong, Shouming [4 ]
Wang, Jun [5 ]
Yan, Huaicheng [6 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Informat & Software Engn, Chengdu 611731, Peoples R China
[2] Univ Elect Sci & Technol China, Yangtze Delta Reg Inst Huzhou, Huzhou 313001, Peoples R China
[3] Chengdu Univ, Sch Elect Informat & Elect Engn, Chengdu 610106, Peoples R China
[4] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[5] Southwest Minzu Univ, Coll Elect & Informat Engn, Chengdu 610041, Peoples R China
[6] East China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2022年 / 438卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
T-S fuzzy system; Delay-product-type functions; Hybrid communication delays; Fuzzy control design; TIME-VARYING DELAY; STABILITY ANALYSIS; STABILIZATION; COMPONENTS; INEQUALITY;
D O I：
10.1016/j.fss.2021.08.018
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper deals with the stability problem of T-S fuzzy systems (TSFSs) with hybrid communication delays (HCDs). Compared with traditional communication delays, HCDs with Bernoulli distributed white noise sequences not only involve probabilistic discrete time-varying delays but also random additive time-varying delays (ATVDs). Based on the delay-product-type function (DPTF) and the second derivative method, a novel Lyapunov-Krasovskii functional (LKF) is developed, which fully considers the information of various communication delays. Moreover, by using novel integral inequalities and stochastic analysis theory, new stabilization criteria are established. Meanwhile, the desired fuzzy state feedback controller with HCDs and parallel distributed compensation (PDC) is designed by solving a set of linear matrix inequalities (LMIs). In the end, the usefulness of the obtained theoretical results is illustrated through two numerical simulation examples. (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码：1 / 24
页数：24
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