Open AccessDelay‐dependent decentralised H ∞ filtering for fuzzy interconnected systems with time‐varying delay based on Takagi–Sugeno fuzzy model
Author(s) -
Zhang Hongbin,
Yu Guanjie,
Zhou Chenhui,
Dang Chuangyin
Publication year - 2013
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.2012.0381
Subject(s) - control theory (sociology) , weighting , fuzzy logic , filter (signal processing) , fuzzy control system , mathematics , stability (learning theory) , linear matrix inequality , stability conditions , computer science , mathematical optimization , control (management) , artificial intelligence , discrete time and continuous time , medicine , statistics , machine learning , computer vision , radiology
This study focuses on the problem of delay‐dependent H ∞ filter design for non‐linear interconnected systems with time‐varying delays via Takagi–Sugeno fuzzy models. Based on the delay‐dependent fuzzy Lyapunov–Krasovskii functional and the fuzzy‐free weighting matrix technique, the delay‐dependent stability and a prescribed H ∞ performance index are guaranteed for the overall filtering‐error system. In addition, a sufficient condition for the existence of such a filter is established by using linear matrix inequalities that are numerically feasible. Finally, two examples are given to demonstrate the effectiveness and advantage of the proposed approach.