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

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 performancePeer ReviewedPostprint (author's final draft

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

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.Spanish State Research Agency (AEI)through the María de Maeztu Seal ofExcellence to IRI, Grant/Award Number:MDM-2016-0656; European RegionalDevelopment Fund (ERFD); DEOCS,Grant/Award Number: MINECO DPI2016-76493; SCAV, Grant/AwardNumber: MINECO DPI2017-88403-R;AGAUR of Generalitat de Catalunyathrough the Advanced Control Systems(SAC) group, Grant/Award Number: 2017SGR 482; Agència de Gestió d'AjutsUniversitaris i de Recerc