Robust H∞ control for uncertain T–S fuzzy systems with state and input time delays: A time-varying matrix-dependent zero-equality method

作     者：Lin, Huichao Dong, Jiuxiang Park, Ju H. 

作者机构：College of Information Science and Engineering Northeastern University Shenyang110819 China The State Key Laboratory of Synthetical Automation for Process Industries Northeastern University Shenyang110819 China Department of Electrical Engineering Yeungnam University Kyongsan38541 Korea Republic of 

出 版 物：《Journal of the Franklin Institute》 (J Franklin Inst)

年 卷 期：2024年第361卷第4期

核心收录：

学科分类：0711[理学-系统科学] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 08[工学] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：This work was supported in part by the National Natural Science Foundation of China under Grant 62273079 and Grant 61420106016   the Fundamental Research Funds for the Central Universities in China under Grant N2004002   Grant N2104005   and Grant N182608004 and the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries in China under Grant 2013ZCX01 and the 1912 project. The work of Ju H. Park was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (Ministry of Science and ICT) under Grant 2019R1A5A8080290 

主　　题：Membership functions 

摘      要：This paper studies robust H∞ control problems for uncertain T–S fuzzy systems with state and input time delay. A modified Lyapunov–Krasovskii functional is constructed by considering membership-function-dependent matrices and delay-product-type matrices. To ensure that the derived results do not involve higher-order delay terms, a method of introducing augmented variables is used. In particular, a time-varying matrix-dependent method is used to link the zero-equalities generated during the mathematical derivation, which increases the freedom of selection of the constant connection matrix and may produce new time-delay cross-term information. Then, a less conservatism stability condition is established, and a robust H∞ controller is designed to ensure that the T–S fuzzy system achieves a predefined H∞ performance level. Finally, two examples are used to verify the feasibility and superiority of the obtained results. © 2024 The Franklin Institute