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Fault detection for a class of uncertain Lipschitz systems with time delays in finite‐frequency domain

Fault detection for a class of uncertain Lipschitz systems with time delays in finite-frequency domain
Authors: Chenxiao Cai; Peng Cheng;

Fault detection for a class of uncertain Lipschitz systems with time delays in finite‐frequency domain

Abstract

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 fault sensitivity performance in low‐/middle‐/high‐frequency domains and 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.

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Keywords

bounded disturbances, generated residual signal, \(H_\infty\) disturbance attenuation performance, finite-frequency domain, linear parameter varying systems, time delays, full-frequency domain, Control/observation systems with incomplete information, reformulated Lipschitz property, \(H_\infty\) fault sensitivity performance, novel FD filter, fault detection filter design, delay systems, linear matrix inequalities, augmented filter system, Chua's circuit system, Delay control/observation systems, linear parameter varying system, fault diagnosis, frequency-domain analysis, BRLs, Perturbations in control/observation systems, uncertain systems, filtering theory, bounded real lemmas, FD scheme, uncertain Lipschitz systems, unknown faults, Frequency-response methods in control theory, parameter uncertainties

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
gold