A model reconstruction approach for control synthesis of Takagi-Sugeno fuzzy systems

被引：5
作者：
Zheng, Hua [1 ,2 ,4 ,5 ]
Xie, Wen-Bo [1 ,2 ]
Nguyen, Anh-Tu [3 ]
Qu, Dong [2 ]
机构：
[1] Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai, Peoples R China
[2] Shanghai Artificial Intelligence Lab, Shanghai 200032, Peoples R China
[3] Univ Polytech Hauts De France, INSA Hauts De France, LAMIH, CNRS,UMR8201, F-59313 Valenciennes, France
[4] Shanghai Jiao Tong Univ, Dept Automat, Key Lab Syst Control & Informat Proc, Minist Educ, Shanghai 200240, Peoples R China
[5] SJTU Sanya Yazhou Bay Inst Deepsea Sci & Technol, Sanya 572024, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2023年 / 469卷
基金：
中国国家自然科学基金;
关键词：
Takagi-Sugeno fuzzy systems; Model reconstruction; Conservatism; Fuzzy Lyapunov functions; DEPENDENT STABILITY ANALYSIS; NONLINEAR-SYSTEMS; RELAXED STABILITY; LMI CONDITIONS; DESIGN; STABILIZATION; CONSTRAINTS; OBSERVER;
D O I：
10.1016/j.fss.2023.108640
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper investigates the control synthesis for Takagi-Sugeno (TS) fuzzy systems via a model reconstruction approach. Firstly, based on a nonparallel distributed compensation (NPDC) control scheme and a fuzzy Lyapunov function candidate (FLF), LMI-based synthesis conditions are derived to guarantee the asymptotic stability of the closed-loop TS fuzzy system. Then the operation domain of the premise variables is divided into several subregions to provide more flexibility in control design. And a new local model reconstruction method is proposed to transform the time-derivative of the FLF into new fuzzy forms with transformed membership functions in each subregion. This enables better exploitation of information on membership functions, resulting in relaxed conditions for both stabilization and robust H & INFIN;control. Two simulation examples are provided to verify the advantages of the proposed TS fuzzy control approach. & COPY; 2023 Elsevier B.V. All rights reserved.
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页数：19
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