Fault diagnosis in Takagi-Sugeno nonlinear systems

Dalil Ichalal (1) , Benoît Marx (1) , José Ragot (1) , Didier Maquin (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper addresses a new scheme for fault diagnosis in nonlinear systems described by Takagi-Sugeno multiple models. Two cases are considered, the first one concerns the T-S models with known premise variables (the input or the output of the system). For the second case it is supposed that the weighting functions depend on unmeasurable premise variables (state of the system). The approach is based on the design of observer-based residual generator by minimization of the disturbances effect and maximizing the effects of the faults. The synthesis is based on the L2 formalism developed for linear systems. The convergence conditions are given in LMI formulation.

Mots clés: Fault diagnosis; Nonlinear systems; Takagi-Sugeno systems; LMI formulation

Domaines: Automatique / Robotique

Dalil Ichalal, Benoît Marx, José Ragot, Didier Maquin. Fault diagnosis in Takagi-Sugeno nonlinear systems. 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2009, Jun 2009, Barcelone, Spain. pp.CDROM, ⟨10.3182/20090630-4-ES-2003.00084⟩. ⟨hal-00376455⟩