Open AccessAdmissibilisation of singular interval type‐2 Takagi–Sugeno fuzzy systems with time delay
Author(s) -
Feng Zhiguang,
Zhang Huayang,
Du Haiping,
Jiang Zhengyi
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.0791
Subject(s) - control theory (sociology) , mathematics , interval (graph theory) , weighting , fuzzy logic , controller (irrigation) , type (biology) , linear matrix inequality , fuzzy control system , mathematical optimization , control (management) , computer science , artificial intelligence , medicine , ecology , combinatorics , biology , agronomy , radiology
This study investigates the admissibility analysis and stabilisation problems for singular interval type‐2 Takagi–Sugeno fuzzy systems with time delay. A generalised integral inequality method is used to obtain the delay‐dependent condition. The criteria for admissibility analysis and controller synthesis are given in terms of linear matrix inequalities. In order to reduce the conservatism of the system, some free weighting matrices and advanced integral inequalities are introduced. Finally, two illustrative examples are exhibited to demonstrate the effectiveness of the proposed method.