State estimation for polytopic LPV descriptor systems: application to fault diagnosis

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

In this paper, the design of a polytopic Unknown Input Observer (UIO) for polytopic Linear Varying Parameter (LPV) descriptor systems is investigated. The method presented is based on the representation of ane LPV descriptor systems where parameters evolve in a hypercube domain. The considered polytopic UIO is able to estimate the states of the system in spite of the presence of unknown inputs. This approach is also applied to actuator fault detection, isolation and estimation. Stability conditions of such observer are expressed in terms of Linear Matrix Inequalities (LMI). An example illustrates the effectiveness and performances of such polytopic LPV observer.

Mots clés: linear matrix inequalities (LMIs); Nonlinear descriptor systems; multi-model; unknown inputs observer; fault diagnosis; linear matrix inequalities (LMIs).

Domaines: Automatique / Robotique

Habib Hamdi, Mickael Rodrigues, Chokri Mechmeche, Didier Theilliol, Naceur Benhadj Braiek. State estimation for polytopic LPV descriptor systems: application to fault diagnosis. 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2009, Jun 2009, Barcelone, Spain. ⟨10.3182/20090630-4-ES-2003.00073⟩. ⟨hal-00422479⟩