Fault detection in a laboratory helicopter employing a wavelet-based analytical redundancy approach

Wavelet-based techniques for fault detection usually employ one of two basic approaches, namely (a) decomposition of a measured signal containing fault-related information or (b) decomposition of a residue calculated as the difference between sensor readings and the output of a model. An alternative approach, which was recently proposed in [1], consists of employing the wavelet transform to identify a subband model for the normal dynamical behaviour of the system. The resulting subband model is then used to generate a residual signal. Such a fault detection approach was shown to provide good results in terms of sensitivity and false alarm rate. However, the examples presented for validation were previously restricted to simulation studies. The present work is concerned with the application of this wavelet-based fault detection technique to a more elaborate case study involving experimental data. The system at hand consists of a laboratory helicopter operating under closed-loop control in the presence of a persistent disturbance. The results indicate that the technique under consideration can successfuly detect a fault of small magnitude, consisting of a 10% reduction in the pitch sensor gain. Moreover, the wavelet approach is shown to outperform a time-domain detector with similar configuration.

[1]  Roberto Kawakami Harrop Galvão,et al.  A WAVELET-BASED MULTIVARIABLE APPROACH FOR FAULT DETECTION IN DYNAMIC SYSTEMS , 2009 .

[2]  Eric J. Manders,et al.  FDI of abrupt faults with combined statistical detection and estimation and qualitative fault isolation , 2003 .

[3]  Andres Marcos,et al.  An application of H∞ fault detection and isolation to a transport aircraft , 2005 .

[4]  Alexander G. Parlos,et al.  Induction motor fault diagnosis based on neuropredictors and wavelet signal processing , 2002 .

[5]  Bart De Moor,et al.  N4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems , 1994, Autom..

[6]  Qing Li,et al.  Design and evaluation of an observer for nuclear reactor fault detection , 2001 .

[7]  Massimiliano Mattei,et al.  A direct/functional redundancy scheme for fault detection and isolation on an aircraft , 2006 .

[8]  Bart De Moor,et al.  Subspace Identification for Linear Systems: Theory ― Implementation ― Applications , 2011 .

[9]  Hai Jiang,et al.  Analysis of area under the ROC curve of energy detection , 2010, IEEE Transactions on Wireless Communications.

[10]  Roberto Kawakami Harrop Galvão,et al.  On the Choice of Filter Bank Parameters for Wavelet-Packet Identification of Dynamic Systems , 2010, ICISP.

[11]  H. Khalil,et al.  Wavelet-based methods for the prognosis of mechanical and electrical failures in electric motors , 2005 .

[12]  Roberto Kawakami Harrop Galvão,et al.  Wavelet-packet identification of dynamic systems in frequency subbands , 2006, Signal Process..

[13]  Tommy W. S. Chow,et al.  Induction machine fault diagnostic analysis with wavelet technique , 2004, IEEE Transactions on Industrial Electronics.

[14]  Chein-I Chang,et al.  Multiparameter Receiver Operating Characteristic Analysis for Signal Detection and Classification , 2010, IEEE Sensors Journal.

[15]  G. Wang,et al.  Integrated design of fault detection systems in time-frequency domain , 2002, IEEE Trans. Autom. Control..

[16]  Alireza Sadeghian,et al.  Current signature analysis of induction motor mechanical faults by wavelet packet decomposition , 2003, IEEE Trans. Ind. Electron..

[17]  Alex Simpkins,et al.  System Identification: Theory for the User, 2nd Edition (Ljung, L.; 1999) [On the Shelf] , 2012, IEEE Robotics & Automation Magazine.

[18]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[19]  Antonio Pietrosanto,et al.  Analytical redundancy for sensor fault isolation and accommodation in public transportation vehicles , 2003, Proceedings of the 20th IEEE Instrumentation Technology Conference (Cat. No.03CH37412).

[20]  J. Hanley,et al.  The meaning and use of the area under a receiver operating characteristic (ROC) curve. , 1982, Radiology.

[21]  Emily K. Lada,et al.  A wavelet-based procedure for process fault detection , 2002 .

[22]  Yong Yan,et al.  A wavelet-based approach to abrupt fault detection and diagnosis of sensors , 2001, IEEE Trans. Instrum. Meas..

[23]  Pierre-Olivier Amblard,et al.  Wavelet packets and de-noising based on higher-order-statistics for transient detection , 2001, Signal Process..

[24]  F. Aminian,et al.  Neural-network based analog-circuit fault diagnosis using wavelet transform as preprocessor , 2000 .

[25]  Roberto Kawakami Harrop Galvão,et al.  A Wavelet Band-Limiting Filter Approach for Fault Detection in Dynamic Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[26]  Xiao-Hua Zhou,et al.  Statistical Methods in Diagnostic Medicine , 2002 .