|
FAULT DETECTION OF UNCERTAIN MODELS USING POLYTOPE PROJECTION
Hicham JANATI IDRISSI, Olivier ADROT, José RAGOT and Frederic KRATZ*
Centre de Recherche en Automatique de Nancy - CNRS UMR n°7039
Institut National Polytechnique de Lorraine
2, avenue de la Forêt de Haye - 54516 Vandœuvre-lès-Nancy Cedex, France
{hjanati, oadrot, jragot}@ensem.inpl-nancy.fr — Fax: +33 3 83 59 56 44
* Laboratoire Vision et Robotique UPRES EA 2078
Université d’Orléans - IUT de Bourges
63 avenue de Lattre de Tassigny F-18020 Bourges Cedex, France
In this paper, a fault detection procedure for linear MIMO models with respect to the observations and the parameters is studied. The various undesirable phenomena being able to affect any physical system (parameter fluctuations, noise,..) are taken into account by describing them as uncertainties. Thus a fault detection procedure is established by providing a more robust decision with respect to the various imperfections. A more general case consists in using polytopes instead of the parallelotope, is treated in order to bring a better precision, by exploiting the Fourier-Motzkin elimination algorithm which is used to compute the projection of a polytope.
Keywords: uncertain model, intervals, fault detection, polytope
Session slot T-Tu-M12: Uncertainty & Robustness in FDI/Area code 7e : Fault Detection, Supervision and Safety of Technical Processes
 | 