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.
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页数：13
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