Fuzzy dynamic output feedback control for nonlinear networked multirate sampled-data systems: An integral inequality method

被引：9
作者：
Ma, Weiwei [1 ]
Jia, Xin-Chun [2 ]
Yang, Fuwen [3 ]
Chi, Xiaobo [4 ]
机构：
[1] Shanxi Univ Finance & Econ, Sch Appl Math, Taiyuan 030006, Peoples R China
[2] Shanxi Univ, Sch Automat & Software Engn, Taiyuan 030006, Peoples R China
[3] Griffith Univ, Griffith Sch Engn, Southport, Qld 4222, Australia
[4] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2023年 / 452卷
基金：
中国国家自然科学基金;
关键词：
Networked control systems; T-S fuzzy systems; Multirate sampled-data systems; Dynamic output feedback control; Integral inequalities; TIME-VARYING DELAY; H-INFINITY CONTROL; DATA STABILIZATION; LINEAR-SYSTEMS; DEPENDENT STABILITY; TRACKING CONTROL; DESIGN;
D O I：
10.1016/j.fss.2022.05.012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper is devoted to fuzzy dynamic output feedback control for nonlinear networked multirate sampled-data systems based on T-S fuzzy systems. Using asynchronous multirate sampled-data, a multirate fuzzy controller is designed. The resultant closed -loop system is modeled as a perturbed system with two perturbed terms which include multirate sampling and the asynchronous membership functions between the controlled plant and the controller. A novel refined integral inequality is developed, and it improves Jensen's inequality and extends Wirtinger's inequalities by considering the sawtooth structure of time-varying delays. By applying the inequality to the perturbed system and constructing a new storage function, a stability criterion and two fuzzy dynamic output feedback controller design methods are presented for the nonlinear networked multirate sampled-data systems. Finally, three illustrative examples show the effectiveness of the proposed method.(c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页码：110 / 130
页数：21
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