Interval observer versus set-membership approaches for fault detection in uncertain systems using zonotopes
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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
CitationPourasgharlafmejani, M.; Puig, V.; Ocampo-Martinez, C.A. Interval observer versus set-membership approaches for fault detection in uncertain systems using zonotopes. "International journal of robust and nonlinear control", 1 Gener 2019, vol. 29, núm. 10, p. 2819-2843.
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