Residual generation for fault diagnosis in linear time-varying systems

Aiping Xu, Qinghua Zhang

Research output: Contribution to journalArticlepeer-review

74 Citations (Scopus)


A residual generation method for fault diagnosis in deterministic and stochastic linear time-varying systems is proposed in this note. Based on appropriate assumptions on the monitored faults and on some persistent excitation condition, it enables complete diagnosis of any number of faults, regardless of the number of output sensors. In order to generate residuals for fault diagnosis, part of the possible faults are estimated with a recently developed technique of adaptive observer. The sensitivity of the residuals to the monitored faults is rigorously analyzed, as well as their insensitivity to the faults to be ignored.
Original languageEnglish
Pages (from-to)767-772
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number5
Publication statusPublished - 18 May 2004
Externally publishedYes


  • Fault diagnosis
  • Time varying systems
  • Stochastic systems
  • Matrix decomposition
  • Mathematical model
  • Actuators
  • Condition monitoring
  • Systems engineering and theory
  • Signal design
  • Sensor systems


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