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Interval observer-based fault detectability analysis using mixed set-invariance theory and sensitivity analysis approach

AuthorsPourasghar, Masoud ; Puig, Vicenç ; Ocampo-Martinez, Carlos
KeywordsFault detection
Bounded uncertainties
Interval observer-based approach
Set-invariance approach
Sensitivity analysis
Minimum detectable fault
Issue Date6-Jan-2019
PublisherTaylor & Francis
CitationInternational Journal of Systems Science 50(3): 495-516 (2019)
AbstractThis paper addresses the characterisation of the minimum detectable fault (MDF) by means of residual sensitivity integrated with the set-invariance theory when using an interval observer-based approach as a fault detection (FD) scheme. Uncertainties (disturbances and noise) are considered as of unknown but bounded nature (i.e. in the set-membership framework). A zonotopic-set representation towards reducing set operations to simple matrix calculations is utilised to bound the state/output estimations provided by the interval observer-based approach. In order to show the connection between sensitivity and set-invariance analyses, mathematical expressions of the MDF are derived when considering different types of faults. Finally, a simulation case study based on a quadruple-tank system is employed to both illustrate and discuss the effectiveness of the proposed approach. The interval observer-based FD scheme is used to test the MDF obtained from the integration of both residual sensitivity analysis and set-invariance theory in the considered case study.
Publisher version (URL)http://dx.doi.org/10.1080/00207721.2018.1563221
Identifiersdoi: 10.1080/00207721.2018.1563221
e-issn: 1464-5319
issn: 0020-7721
Appears in Collections:(IRII) Artículos
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