Improved stability criteria of T-S fuzzy systems with sampled-data-based dissipative control

被引：15

作者：

Ge, Chao ^{[1
]}

Liu, Zengshuai ^{[1
]}

Wang, Lei ^{[2
]}

Liu, Yajuan ^{[3
]}

机构：

[1] North China Univ Sci & Technol, Coll Elect Engn, Qinhuangdao, Hebei, Peoples R China

[2] Tangshan Univ, Key Lab Intelligent Data Informat Proc & Control H, Tangshan, Hebei, Peoples R China

[3] North China Elect Power Univ, Sch Control & Comp Engn, Beijing, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 424卷

关键词：

Fuzzy system; Fuzzy membership function; Sampled-data control; Dissipative analysis; H-INFINITY STABILIZATION; MODEL; SYNCHRONIZATION; DESIGN;

D O I：

10.1016/j.amc.2022.127047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on sampled-data control, this work studies dissipative control for Takagi-Sugeno (T-S) fuzzy system. The T-S fuzzy model combined with the fuzzy membership functions (FMFS) are considered which derive the less conservative result. To take advantage of the sampling interval for more realistic information, a novel Lyapunov-Krasovskii functional (LKF) containing integral variables and the fuzzy membership functions is constructed. As a result, combined the appropriate mode-dependent Lyapunov function with the method of free-weighting matrix, sufficient condition is developed to ensure that the system is (Q, S, R) - gamma - dissipative. Moreover, a required sampled-data controller is also designed. Finally, two numerical simulation examples are carried out, which verify the feasibility and validity of the proposed theoretical results. (C) 2022 Elsevier Inc. All rights reserved.

引用

页数：13

共 42 条

[1] Robust Fault Detection for Uncertain T-S Fuzzy System with Unmeasurable Premise Variables: Descriptor Approach
Brahim, Imen Haj
Mehdi, Driss
Chaabane, Mohamed
[J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2018, 20 (02) : 416 - 425
[2] Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints
Briat, Corentin
[J]. AUTOMATICA, 2013, 49 (11) : 3449 - 3457
[3] Fuzzy Resilient H∞ Filter Design for Continuous-Time Nonlinear Systems
Chang, Xiao-Heng
Song, Jia-Sheng
Zhao, Xudong
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (02) : 591 - 596
[4] Nonfragile H∞ Filter Design for T-S Fuzzy Systems in Standard Form
Chang, Xiao-Heng
Yang, Guang-Hong
[J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2014, 61 (07) : 3448 - 3458
[5] Observer-Based Output Feedback Control for Discrete-Time T-S Fuzzy Systems With Partly Immeasurable Premise Variables
Dong, Jiuxiang
Yang, Guang-Hong
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2017, 47 (01): : 98 - 110
[6] Stochastic Switched Sampled-Data Control for Uncertain Fuzzy Systems with Packet Dropout
Ge, Chao
Yang, Liu
Zhao, Zhiwei
Zhang, Jiayong
Liu, Yajuan
[J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2021, 23 (01) : 145 - 157
[7] Dissipativity Analysis for T-S Fuzzy System Under Memory Sampled-Data Control
Ge, Chao
Park, Ju H.
Hua, Changchun
Guan, Xinping
[J]. IEEE TRANSACTIONS ON CYBERNETICS, 2021, 51 (02) : 961 - 969
[8] Robust H∞ stabilization for T-S fuzzy systems with time-varying delays and memory sampled-data control
Ge, Chao
Shi, Yanpen
Park, Ju H.
Hua, Changchun
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 346 : 500 - 512
[9] Finite/Fixed-Time Stabilization for Nonlinear Interconnected Systems With Dead-Zone Input
Hua, Changchun
Li, Yafeng
Guan, Xinping
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (05) : 2554 - 2560
[10] Fuzzy-model-based sampled-data chaotic synchronisation under the input constraints consideration
Kim, Han Sol
Park, Jin Bae
Joo, Young Hoon
[J]. IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (02) : 288 - 296

← 1 2 3 4 5 →