Set-membership parity space approach for fault detection in linear uncertain dynamic systems

In this paper, a set-membership parity space approach for linear uncertain dynamic systems is proposed. First, a set of parity relations derived from the parity space approach is obtained by means of a transformation derived from the system characteristic polynomial. As a result of this transformati...

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Detalles Bibliográficos
Autores: Blesa Izquierdo, Joaquim|||0000-0002-5626-3753, Puig Cayuela, Vicenç|||0000-0002-6364-6429, Saludes Closa, Jordi|||0000-0002-6666-1982, Fernández Canti, Rosa M.|||0000-0002-9381-6601
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/76223
Acceso en línea:https://hdl.handle.net/2117/76223
https://dx.doi.org/10.1002/acs.2476
Access Level:acceso abierto
Palabra clave:Automatic control
Linear systems
Differential equations, Linear
Fault location (Engineering)
Keywords: fault detection
set membership
parity space
parity equations
zonotopes
Control automàtic
Sistemes lineals
Equacions diferencials lineals
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:In this paper, a set-membership parity space approach for linear uncertain dynamic systems is proposed. First, a set of parity relations derived from the parity space approach is obtained by means of a transformation derived from the system characteristic polynomial. As a result of this transformation, parity relations can be expressed in regressor form. On the one hand, this facilitates the parameter estimation of those relations using a zonotopic set-membership algorithm. On the other hand, fault detection is then based on checking, at every sample time, the non-existence of a parameter value in the parameter uncertainty set such that the model is consistent with all the system measurements. The proposed approach is applied to two examples: a first illustrative case study based on a two-tank system and a more realistic case study based on the wind turbine fault detection and isolation benchmark in order to evaluate its effectiveness