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

This is an Accepted Manuscript of an article published by Taylor & Francis in “International Journal of Systems Science” on 06th January 2019, available online: https://www.tandfonline.com/doi/abs/10.1080/00207721.2018.1563221?journalCode=tsys20This paper addresses the characterization 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 utilized 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 dierent 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. 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.Peer ReviewedPostprint (author's final draft