15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
INPUT RECONSTRUCTION BY MEANS OF SYSTEM INVERSION: APPLICATION TO FAULT DETECTION AND ISOLATION
F. Szigeti, J. Bokor and A. Edelmayer
Systems and Control Laboratory, Computer and Automation
Research Institute, Hungarian Academy of Sciences, Budapest,
Kende u. 13–17, H-1111, Hungary
e-mail: edelmayer@sztaki.hu
Department of Control Engineering, Faculty of Engineering,
University of Los Andes, Mérida, A.p. 11, La Hechicera, Venezuela

This paper attempts to look at the fundamental problem of fault detection and isolation (FDI) in nonlinear systems. Using the idea of input reconstruction by means of dynamic inversion the authors first discuss the properties of input (or fault) observability in linear systems. The extension of the results to nonlinear systems as well as the mathematical conditions of the calculation of the inverse system, which provides the inverse in finite algorithmic steps, are given. The applicability of the inversion process to fault reconstruction in nonlinear systems is demonstrated.
Keywords: —Fault detection and isolation, Input observability, Input reconstruction, Inverse system, Linear and non-linear systems
Session slot T-Mo-M10: New Concepts in Fault Diagnosis/Area code 7e : Fault Detection, Supervision and Safety of Technical Processes