Fault detection and isolation in linear parameter-varying descriptor systems via proportional integral observer

Habib Hamdi (1) , Mickael Rodrigues (2) , Chokri Mechmeche (1) , Didier Theilliol (3) , Naceur Benhadj Braiek (1)

1 INSAT - Institut National des Sciences Appliquées et de Technologie [Tunis]
2 LAGEP - Laboratoire d'automatique et de génie des procédés
3 CRAN - Centre de Recherche en Automatique de Nancy

The main contribution of this paper is the design of a polytopic unknown inputs proportional integral observer (UIPIO) for linear parameter-varying (LPV) descriptor systems. This observer is used for actuator fault detection and isolation. The proposed method is based on the representation of the LPV descriptor systems in a polytopic form. Its parameters evolve in an hypercube domain. The designed polytopic UIPIO is also able to estimate both the states and the unknown inputs of the LPV descriptor system. Stability conditions of such observer are expressed in terms of linear matrix inequalities. An example illustrates the performances of such polytopic UIPIO.

Mots clés: LPV descriptor systems; polytopic proportional integral observer; failure detection and isolation; linear matrix inequalities (LMIs)

Domaines: Automatique / Robotique

Habib Hamdi, Mickael Rodrigues, Chokri Mechmeche, Didier Theilliol, Naceur Benhadj Braiek. Fault detection and isolation in linear parameter-varying descriptor systems via proportional integral observer. International Journal of Adaptive Control and Signal Processing, 2012, 26 (3), pp.224-240. ⟨10.1002/acs.1260⟩. ⟨hal-00605382⟩