Fault Detection for Lipschitz Nonlinear Systems with Restricted Frequency-Domain Specifications

Jitao Li, Zhenhua Wang, Choon Ki Ahn, Yi Shen

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


This article deals with the problem of fault detection for discrete-time Lipschitz nonlinear systems subject to a class of restricted frequency-domain specifications. We present a novel observer structure with more design parameters, which can be applied to enhance the observer performance. The performances of fault sensitivity and disturbance robustness are characterized using finite-frequency H_- and H_∞ indices, respectively. Less restrictive design conditions are obtained based on a reformulated Lipschitz property. Moreover, to detect faults timely, a novel dynamic threshold is synthesized based on zonotopic set-membership techniques. Simulation examples are conducted to demonstrate the viability and validity of the presented method.

Original languageEnglish
Pages (from-to)7486-7496
Number of pages11
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Issue number12
Publication statusPublished - 2021 Dec 1

Bibliographical note

Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 61973098 and Grant 61773145, in part by the Key Laboratory Opening Funds of Harbin Institute of Technology under Grant HIT.KLOF.2018.073, and in part by the National Research Foundation of Korea through the Ministry of Science, ICT, and Future Planning under Grant NRF-2017R1A1A1A05001325.

Publisher Copyright:
© 2013 IEEE.


  • Dynamic threshold
  • Lipschitz nonlinear systems
  • fault detection
  • restricted frequency-domain specifications (RFDSs)

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering


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