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Title: | Interval observer-based fault detectability analysis using mixed set-invariance theory and sensitivity analysis approach |
Authors: | Pourasghar, Masoud ![]() ![]() |
Keywords: | Fault detection Bounded uncertainties Interval observer-based approach Set-invariance approach Sensitivity analysis Zonotopes Minimum detectable fault |
Issue Date: | 6-Jan-2019 |
Publisher: | Taylor & Francis |
Citation: | International Journal of Systems Science 50(3): 495-516 (2019) |
Abstract: | This 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 |
URI: | http://hdl.handle.net/10261/208126 |
DOI: | 10.1080/00207721.2018.1563221 |
Identifiers: | doi: 10.1080/00207721.2018.1563221 e-issn: 1464-5319 issn: 0020-7721 |
Appears in Collections: | (IRII) Artículos |
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