H∞ Static Output Feedback Control for T-S Fuzzy Systems via Lyapunov Functions

被引:0
作者
Liu, Guojun [1 ,2 ]
Sun, Jinghui [1 ]
Wang, Wen [1 ]
Hui, Nan [1 ]
Zou, Liyang [1 ]
Liu, Chao [1 ]
机构
[1] Hubei Univ, Sch Artificial Intelligence, Wuhan 430062, Hubei, Peoples R China
[2] Yeungnam Univ, Dept Elect Engn, 280 Daehak Ro, Kyongsan 38541, South Korea
来源
2024 43RD CHINESE CONTROL CONFERENCE, CCC 2024 | 2024年
基金
中国国家自然科学基金;
关键词
Takagi-Sugeno(T-S) fuzzy systems; H-infinity static output feedback control; Lyapunov function; linear matrix inequalities (LMIs); NONLINEAR-SYSTEMS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates H-infinity static output feedback control for Takagi-Sugeno(T-S) fuzzy systems. By applying the fuzzy Lyapunov function, some slack variables are introduced by the matrix decoupling technology, and the stability condition of the closed-loop systems under the external disturbance is proposed. The H-infinity performance gamma is obtained by establishing the relevant linear matrix inequalities (LMIs). Finally, two numerical examples are provided to verify the efficiency of the proposed design results.
引用
收藏
页码:2618 / 2623
页数:6
相关论文
共 21 条
[1]   Robust non-quadratic static output feedback controller design for Takagi-Sugeno systems using descriptor redundancy [J].
Bouarar, Tahar ;
Guelton, Kevin ;
Manamanni, Noureddine .
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2013, 26 (02) :739-756
[2]   Static Output Feedback Controller Design for Takagi-Sugeno Systems - A Fuzzy Lyapunov LMI Approach [J].
Bouarar, Tahar ;
Guelton, Kevin ;
Manamanni, Noureddine .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :4150-4155
[3]   Finite-Frequency Static Output Feedback H∞ Control of Continuous-Time T-S Fuzzy Systems [J].
Chaibi, Redouane ;
Rachid, Ismail Er ;
Tissir, El Houssaine ;
Hmamed, Abdelaziz .
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2019, 28 (02)
[4]   New Results on Output Feedback H∞ Control for Linear Discrete-Time Systems [J].
Chang, Xiao-Heng ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) :1355-1359
[5]   Static output feedback control of nonhomogeneous Markovian jump systems with asynchronous time delays [J].
Cheng, Jun ;
Park, Ju H. ;
Karimi, Hamid Reza ;
Zhao, Xudong .
INFORMATION SCIENCES, 2017, 399 :219-238
[6]   Robust dynamic output-feedback Script capital H∞ control for uncertain Takagi-Sugeno time-delay systems [J].
Coskun, Serdar .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022,
[7]  
Duan ZY, 2021, CONTROL THEOR TECH, V19, P384, DOI 10.1007/s11768-021-00048-w
[8]   Robust Static Output Feedback H∞ Control for Uncertain Takagi-Sugeno Fuzzy Systems [J].
Elias, Leandro Jose ;
Faria, Flavio Andrade ;
Araujo, Rayza ;
Magossi, Rafael F. Q. ;
Oliveira, Vilma Alves .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (10) :4434-4446
[9]   New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI [J].
Liu, XD ;
Zhang, QL .
AUTOMATICA, 2003, 39 (09) :1571-1582
[10]   Adaptive fuzzy output feedback control for a class of uncertain nonlinear systems in the presence of sensor attacks [J].
Lv, Wenshun ;
Park, Ju H. ;
Lu, Junwei ;
Guo, Runan .
JOURNAL OF THE FRANKLIN INSTITUTE, 2023, 360 (03) :2326-2343