Open AccessFault detection for fractional‐order linear systems in finite frequency domains
Author(s) -
Li He,
Yang GuangHong
Publication year - 2019
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.2018.5876
Subject(s) - control theory (sociology) , robustness (evolution) , fault detection and isolation , mathematics , lemma (botany) , linear system , projection (relational algebra) , kalman filter , frequency domain , frequency response , computer science , algorithm , actuator , engineering , mathematical analysis , statistics , control (management) , artificial intelligence , ecology , biochemistry , chemistry , poaceae , biology , electrical engineering , gene
This study is concerned with the fault detection problem for fractional‐order linear systems with disturbances. The H −and H ∞performance indices of fractional‐order systems in finite frequency domains are applied to measure the fault sensitivity and the disturbance robustness. A fractional‐order fault detection observer is designed to satisfy the two finite frequency performance indices simultaneously. Based on the generalised Kalman–Yakubovich–Popov lemma and the projection lemma, the design conditions are obtained in terms of linear matrix inequalities. Compared with the existing full frequency approaches, the proposed finite frequency one can get better results when the frequency ranges of faults and disturbances are known. The effectiveness of the proposed method is validated by numerical examples.