Interval observer versus set‐membership approaches for fault detection in uncertain systems using zonotopes

Summary This paper presents both analysis and comparison of the interval observer–based and set‐membership approaches for the state estimation and fault detection (FD) in uncertain linear systems. The considered approaches assume that both state disturbance and measurement noise are modeled in a det...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2019-07, Vol.29 (10), p.2819-2843
Main Authors: Pourasghar, Masoud, Puig, Vicenç, Ocampo‐Martinez, Carlos
Format: Article
Language:English
Subjects:
Automàtica i control
Fault detection
Fault tolerance (Engineering)
Informàtica
interval observer
Linear systems
minimum detectable fault
Noise measurement
set membership
State estimation
Tolerància als errors (Enginyeria)
uncertainty
Uncertainty, Interval observer, Set membership, State estimation, Fault detection, Minimum detectable fault
Àrees temàtiques de la UPC
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Summary:Summary This paper presents both analysis and comparison of the interval observer–based and set‐membership approaches for the state estimation and fault detection (FD) in uncertain linear systems. The considered approaches assume that both state disturbance and measurement noise are modeled in a deterministic context following the unknown but bounded approach. The propagation of uncertainty in the state estimation is bounded through a zonotopic set representation. Both approaches have been mathematically related and compared when used for state estimation and FD. A case study based on a two‐tanks system is employed for showing the relationship between both approaches while comparing their performance.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.4523