Open AccessNon‐fragile H ∞ fuzzy filtering for discrete‐time non‐linear systems
Author(s) -
Ding DaWei,
Li Xiaoli,
Wang Youyi,
Shi Zhiguo
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.2012.0801
Subject(s) - probabilistic logic , mathematics , filter (signal processing) , algorithm , interval (graph theory) , linear system , vertex (graph theory) , fuzzy logic , computational complexity theory , mathematical optimization , computer science , artificial intelligence , discrete mathematics , graph , statistics , mathematical analysis , combinatorics , computer vision
This study is concerned with the problem of non‐fragile H ∞ filtering for discrete‐time non‐linear systems in Takagi–Sugeno's form. Additive interval uncertainty that reflects imprecision in filter implementation because of finite word length effects is considered. Based on vertex theory and probabilistic robust approach, deterministic and randomised filtering algorithms are proposed, respectively. Compared with the deterministic algorithm, the randomised algorithm has acceptable computational complexity, especially for high‐dimensional systems. Two examples are given to illustrate the effectiveness of the proposed algorithms.