Open AccessFault estimation filter design for discrete‐time Takagi–Sugeno fuzzy systems
Author(s) -
Ding DaWei,
Du Xin,
Xie Xiangpeng,
Li Mo
Publication year - 2016
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.2016.0318
Subject(s) - control theory (sociology) , filter (signal processing) , frequency domain , fault (geology) , filter design , fuzzy logic , computer science , fuzzy control system , mathematics , control (management) , artificial intelligence , seismology , computer vision , geology
This study is concerned with the fault estimation problem of discrete‐time Takagi–Sugeno fuzzy systems with low‐frequency faults. A fault estimation filter is designed to solve this problem. To make the estimation error as small as possible in the presence of high‐frequency disturbances, the filter is designed to satisfy two finite‐frequency H ∞ performance indices simultaneously. An algorithm is proposed to calculate the parameters of the desired filter. The obtained filter can estimate the faults in low‐frequency domain effectively, e.g. stuck faults. For comparison, a full‐frequency fault estimation method is also given. An example is given to illustrate advantages of the proposed finite‐frequency method.