Diagnosis of nonlinear systems using kernel principal component analysis

Maya Kallas (1) , Gilles Mourot (1) , Didier Maquin (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

Technological advances in the process industries during the past decade have resulted in increasingly complicated processes, systems and products. Therefore, recent researches consider the challenges in their design and management for successful operation. While principal component analysis (PCA) technique is widely used for diagnosis, its structure cannot describe nonlinear related variables. Thus, an extension to the case of nonlinear systems is presented in a feature space for process monitoring. Working in a high-dimensional feature space, it is necessary to get back to the original space. Hence, an iterative pre-image technique is derived to provide a solution for fault diagnosis. The relevance of the proposed technique is illustrated on artificial and real dataset.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Maya Kallas, Gilles Mourot, Didier Maquin, José Ragot. Diagnosis of nonlinear systems using kernel principal component analysis. 11th European Workshop on Advanced Control and Diagnosis, ACD 2014, Nov 2014, Berlin, Germany. ⟨10.1088/1742-6596/570/7/072004⟩. ⟨hal-01078401⟩