Nonparametric and Semi-Parametric Sensor Recovery in Multichannel Condition Monitoring Systems

Condition monitoring (CM) has been recognized as a more effective failure prevention paradigm than the time-based counterpart. CM can be performed via an array of sensors providing multiple, real-time equipment degradation information with broad coverage. However, loss of sensor readings due to sensor abnormalities and/or malfunction of connectors has long been a hurdle to reliable fault diagnosis and prognosis in multichannel CM systems. The problem becomes more challenging when the sensor channels are not synchronized because of different sampling rates used and/or time-varying operational schemes. This paper provides a nonparametric sensor recovery technique and a semi-parametric alternative to enhance the robustness of multichannel CM systems. Based on historical data, models for all the sensor signals are constructed using functional principal component analysis (FPCA), and functional regression (FR) models are developed for those correlated signals. These models with parameters updated in online implementation can be used to recover the lost sensor signals. A case study of aircraft engines is used to demonstrate the capability of the proposed approaches. In addition to recovering asynchronous sensor signals, the proposed approaches are also compared with the Elman neural network as a popular alternative in recovering synchronous sensor signals.

[1]  Abhinav Saxena,et al.  Damage propagation modeling for aircraft engine run-to-failure simulation , 2008, 2008 International Conference on Prognostics and Health Management.

[2]  Haitao Liao,et al.  Joint Production and Spare Part Inventory Control Strategy Driven by Condition Based Maintenance , 2010, IEEE Transactions on Reliability.

[3]  W. Marsden I and J , 2012 .

[4]  T.-H. Guo,et al.  Sensor failure detection and recovery by neural networks , 1991, IJCNN-91-Seattle International Joint Conference on Neural Networks.

[5]  Haitao Liao,et al.  Reliability inference for field conditions from accelerated degradation testing , 2006 .

[6]  J. Ramsay,et al.  Some Tools for Functional Data Analysis , 1991 .

[7]  Ling-Yau Chan,et al.  Maintenance of continuously monitored degrading systems , 2006, Eur. J. Oper. Res..

[8]  Steven M. Cox,et al.  Stochastic models for degradation-based reliability , 2005 .

[9]  Donald Hedeker,et al.  An Introduction to Growth Modeling , 2004 .

[10]  B. Silverman,et al.  Estimating the mean and covariance structure nonparametrically when the data are curves , 1991 .

[11]  H. Müller,et al.  Functional Data Analysis for Sparse Longitudinal Data , 2005 .

[12]  N. L. Johnson,et al.  Multivariate Analysis , 1958, Nature.

[13]  Jane-ling Wang,et al.  Functional linear regression analysis for longitudinal data , 2005, math/0603132.

[14]  Hans-Georg Müller,et al.  Functional Data Analysis , 2016 .

[15]  W. Cleveland,et al.  Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting , 1988 .

[16]  Joseph Mathew,et al.  Rotating machinery prognostics. State of the art, challenges and opportunities , 2009 .

[17]  George Chryssolouris,et al.  Confidence interval prediction for neural network models , 1996, IEEE Trans. Neural Networks.

[18]  C. Joseph Lu,et al.  Using Degradation Measures to Estimate a Time-to-Failure Distribution , 1993 .

[19]  J. Rice Bandwidth Choice for Nonparametric Regression , 1984 .

[20]  R. D. Bock,et al.  Multivariate Statistical Methods in Behavioral Research , 1978 .

[21]  William J. Kolarik,et al.  Multivariate performance reliability prediction in real-time , 2001, Reliab. Eng. Syst. Saf..

[22]  S. L. Albin,et al.  Preventive replacement in systems with dependent components , 1992 .

[23]  Elsayed A. Elsayed,et al.  A Geometric Brownian Motion Model for Field Degradation Data , 2004 .

[24]  William J. Kolarik,et al.  Real-time performance reliability prediction , 2001, IEEE Trans. Reliab..

[25]  Jan M. van Noortwijk,et al.  A survey of the application of gamma processes in maintenance , 2009, Reliab. Eng. Syst. Saf..