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 determinist...

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Detalles Bibliográficos
Autores: Pourasghar, Masoud, Puig, Vicenç, Ocampo-Martínez, Carlos
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/202244
Acceso en línea:http://hdl.handle.net/10261/202244
Access Level:acceso abierto
Palabra clave:Fault detection
Interval observer
Minimum detectable fault
Set membership
State estimation
Uncertainty
Descripción
Sumario: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.