论文信息 - On the fractional systems' fault detection: A comparison between fractional and rational residual sensitivity

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] 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 .

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

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

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

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

[6] A. Oustaloup. La dérivation non entière , 1995 .

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

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

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

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

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

[12] Michel Kinnaert,et al. Diagnosis and Fault-Tolerant Control , 2006 .