Open AccessFault detection for a class of uncertain Lipschitz systems with time delays in finite‐frequency domain
Author(s) -
Cheng Peng,
Cai Chenxiao
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.2019.1326
Subject(s) - control theory (sociology) , lipschitz continuity , filter (signal processing) , bounded function , frequency domain , residual , fault detection and isolation , mathematics , filter design , fault (geology) , sensitivity (control systems) , attenuation , computer science , algorithm , engineering , mathematical analysis , electronic engineering , control (management) , actuator , physics , optics , artificial intelligence , seismology , computer vision , geology
This study investigates the problem of fault detection (FD) filter design for a class of uncertain Lipschitz systems with time delays, unknown faults, parameter uncertainties and bounded disturbances. A novel FD filter is proposed and the augmented filter system is converted to a linear parameter varying (LPV) system by the reformulated Lipschitz property. Then, two bounded real lemmas (BRLs) are given for the generated residual signal to achieve the H − fault sensitivity performance in low‐/middle‐/high‐frequency domains and H ∞ disturbance attenuation performance in the full‐frequency domain. Next, the obtained BRLs are further converted into a set of linear matrix inequalities (LMIs) to implement the filter design. Finally, two illustrative simulations including a numerical example and Chua's circuit system clearly demonstrate the advantages of the developed FD scheme.