On the fractional systems' fault detection: A comparison between fractional and rational residual sensitivity

This paper shows the interest of extending the dynamic parity space fault detection method for fractional systems. Accordingly, a comparison between fractional and rational residual generators using the later method is presented. An analysis of fractional and rational residuals' sensitivity shows the merits of the fractional residual generators. A numerical example illustrating the advantage of using fractional residual generators for fractional systems diagnosis is given.

[1]  J. Douglas Barrett.  Diagnosis and Fault-Tolerant Control , 2007, Technometrics.

[2]  Thierry Poinot,et al.  A method for modelling and simulation of fractional systems , 2003, Signal Process..

[3]  S. Rodrigues,et al.  A review of state-of-charge indication of batteries by means of a.c. impedance measurements , 2000 .

[4]  P. Frank,et al.  Survey of robust residual generation and evaluation methods in observer-based fault detection systems , 1997 .

[5]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[6]  Rolf Isermann,et al.  Process fault detection based on modeling and estimation methods - A survey , 1984, Autom..

[7]  Alan S. Willsky,et al.  A survey of design methods for failure detection in dynamic systems , 1976, Autom..

[8]  H. Akçay,et al.  Thermal modeling and identification of an aluminum rod using fractional calculus , 2009 .

[9]  M. Aoun,et al.  Systèmes linéaires non entiers et identification par bases orthogonales non entières , 2005 .

[10]  Jean-Luc Battaglia,et al.  Représentation non entière du transfert de chaleur par diffusion. Utilité pour la caractérisation et le contrôle non destructif thermique , 2004 .

[11]  Olivier Cois,et al.  Systèmes linéaires non entiers et identification par modèle non entier : application en thermique , 2002 .

[12]  V. Valdes,et al.  Etude et élaboration d'une approche fonctionnelle pour la localisation de défauts en diagnostic : application à la simulation d'un moteur à courant continu , 1998 .