Publication
Interval observer-based fault detectability analysis using mixed set-invariance theory and sensitivity analysis approach
Journal Article (2019)
Journal
International Journal of Systems Science
Pages
495-516
Volume
50
Number
3
Doc link
https://doi.org/10.1080/00207721.2018.1563221
File
Abstract
This 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.
Categories
control theory.
Author keywords
Fault detection, bounded uncertainties, interval observer-based approach, set-invariance approach, sensitivity analysis, zonotopes, minimum detectable fault
Scientific reference
M. Pourasghar, V. Puig and C. Ocampo-Martínez. Interval observer-based fault detectability analysis using mixed set-invariance theory and sensitivity analysis approach. International Journal of Systems Science, 50(3): 495-516, 2019.
Follow us!