Sparse Representation Classification With Structured Dictionary Design Strategy for Rotating Machinery Fault Diagnosis

Fault diagnosis technique is the core of Prognostics and Health Management (PHM) system, which plays a crucial role in the intelligent operation and maintenance of various rotating machineries. In this paper, we present a novel sparse representation classification framework with structured dictionary design strategy (SRC-SDD) for intelligent fault diagnosis of rotating machineries. The proposed SRC-SDD method consists of two stages, i.e., the structured dictionary design stage and the sparsity-based intelligent diagnosis stage. In the first stage, the novelty of SRC-SDD lies in the overlapping segmentation strategy for structured dictionary design, which leverages the structured prior knowledge of rotating machinery vibration signals, namely, the periodic self-similarity and shift-invariance properties. In the second stage, SRC-SDD achieves fault recognitions of testing samples using a sparsity-based diagnosis strategy based on the minimum sparse reconstruction error. The proposed structured dictionary design strategy can enhance the representation power of dictionaries and thus promote the recognition performance of the sparsity-based diagnosis strategy. Finally, the effectiveness of SRC-SDD has been validated on the gearbox fault dataset from IEEE PHM society. The diagnosis results show that SRC-SDD achieves the excellent recognition accuracy of 100% for predicting six different gearbox health states. Further, the comparative studies with three conventional SRC methods prove the superiority of SRC-SDD in terms of both the recognition performance and computation efficiency.

[1]  Zhaojun Li,et al.  A Review on Prognostics Methods for Engineering Systems , 2020, IEEE Transactions on Reliability.

[2]  Fulei Chu,et al.  Adaptive TQWT filter based feature extraction method and its application to detection of repetitive transients , 2018, Science China Technological Sciences.

[3]  Robert B. Randall,et al.  The spectral kurtosis: application to the vibratory surveillance and diagnostics of rotating machines , 2006 .

[4]  Dapeng Tao,et al.  Discriminative dictionary learning via Fisher discrimination K-SVD algorithm , 2015, Neurocomputing.

[5]  Yoshua. Bengio,et al.  Learning Deep Architectures for AI , 2007, Found. Trends Mach. Learn..

[6]  Larry S. Davis,et al.  Label Consistent K-SVD: Learning a Discriminative Dictionary for Recognition , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  Yue Hu,et al.  Second-Order Transient-Extracting Transform With Application to Time-Frequency Filtering , 2020, IEEE Transactions on Instrumentation and Measurement.

[8]  Robert X. Gao,et al.  Wavelets for fault diagnosis of rotary machines: A review with applications , 2014, Signal Process..

[9]  Fulei Chu,et al.  Meshing frequency modulation assisted empirical wavelet transform for fault diagnosis of wind turbine planetary ring gear , 2019, Renewable Energy.

[10]  Yong Qin,et al.  Sparse classification based on dictionary learning for planet bearing fault identification , 2018, Expert Syst. Appl..

[11]  Qin Yang,et al.  Sparse classification of rotating machinery faults based on compressive sensing strategy , 2015 .

[12]  Haibin Ling,et al.  Robust Visual Tracking and Vehicle Classification via Sparse Representation , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[13]  Fulei Chu,et al.  Recent advances in time–frequency analysis methods for machinery fault diagnosis: A review with application examples , 2013 .

[14]  Stephen P. Boyd,et al.  Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers , 2011, Found. Trends Mach. Learn..

[15]  Hong Peng,et al.  A novel automatic classification detection for epileptic seizure based on dictionary learning and sparse representation , 2019, Neurocomputing.

[16]  Yaguo Lei,et al.  Machinery health prognostics: A systematic review from data acquisition to RUL prediction , 2018 .

[17]  Qing Zhao,et al.  Multipoint Optimal Minimum Entropy Deconvolution and Convolution Fix: Application to vibration fault detection , 2017 .

[18]  Zhiwei Gao,et al.  From Model, Signal to Knowledge: A Data-Driven Perspective of Fault Detection and Diagnosis , 2013, IEEE Transactions on Industrial Informatics.

[19]  Baoxin Li,et al.  Discriminative K-SVD for dictionary learning in face recognition , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[20]  Xuefeng Chen,et al.  Sparsity-Assisted Fault Feature Enhancement: Algorithm-Aware Versus Model-Aware , 2020, IEEE Transactions on Instrumentation and Measurement.

[21]  Han Zhang,et al.  Learning Collaborative Sparsity Structure via Nonconvex Optimization for Feature Recognition , 2018, IEEE Transactions on Industrial Informatics.

[22]  Qiang Miao,et al.  Prognostics and Health Management: A Review of Vibration Based Bearing and Gear Health Indicators , 2018, IEEE Access.

[23]  Xuegang Wang,et al.  Joint Supervised Dictionary and Classifier Learning for Multi-View SAR Image Classification , 2019, IEEE Access.

[24]  Guillermo Sapiro,et al.  Sparse Representation for Computer Vision and Pattern Recognition , 2010, Proceedings of the IEEE.

[25]  Te Han,et al.  Intelligent fault diagnosis method for rotating machinery via dictionary learning and sparse representation-based classification , 2018 .

[26]  Stan Szpakowicz,et al.  Beyond Accuracy, F-Score and ROC: A Family of Discriminant Measures for Performance Evaluation , 2006, Australian Conference on Artificial Intelligence.

[27]  Patrick L. Combettes,et al.  Proximal Splitting Methods in Signal Processing , 2009, Fixed-Point Algorithms for Inverse Problems in Science and Engineering.

[28]  Gang Yu,et al.  A Concentrated Time–Frequency Analysis Tool for Bearing Fault Diagnosis , 2020, IEEE Transactions on Instrumentation and Measurement.

[29]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[30]  Lingli Cui,et al.  A Novel Weighted Sparse Representation Classification Strategy Based on Dictionary Learning for Rotating Machinery , 2020, IEEE Transactions on Instrumentation and Measurement.

[31]  Xiaohui Yan,et al.  A Review on Deep Learning Applications in Prognostics and Health Management , 2019, IEEE Access.

[32]  Tianyang Wang,et al.  Discriminative dictionary learning based sparse representation classification for intelligent fault identification of planet bearings in wind turbine , 2020 .

[33]  Liang Gao,et al.  A New Convolutional Neural Network-Based Data-Driven Fault Diagnosis Method , 2018, IEEE Transactions on Industrial Electronics.

[34]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[35]  Mohd Salman Leong,et al.  Gearbox Fault Diagnosis Using a Deep Learning Model With Limited Data Sample , 2020, IEEE Transactions on Industrial Informatics.

[36]  Yanyang Zi,et al.  Sparsity-based Algorithm for Detecting Faults in Rotating Machines , 2015, ArXiv.

[37]  Robert X. Gao,et al.  Deep learning and its applications to machine health monitoring , 2019, Mechanical Systems and Signal Processing.

[38]  Fanrang Kong,et al.  Online Fault Diagnosis of Motor Bearing via Stochastic-Resonance-Based Adaptive Filter in an Embedded System , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[39]  A. Bruckstein,et al.  K-SVD : An Algorithm for Designing of Overcomplete Dictionaries for Sparse Representation , 2005 .

[40]  Zhibin Zhao,et al.  Sparse Deep Stacking Network for Fault Diagnosis of Motor , 2018, IEEE Transactions on Industrial Informatics.

[41]  Xuerong Ye,et al.  An Improved Empirical Mode Decomposition Based on Adaptive Weighted Rational Quartic Spline for Rolling Bearing Fault Diagnosis , 2020, IEEE Access.

[42]  Qinkai Han,et al.  Vibration based condition monitoring and fault diagnosis of wind turbine planetary gearbox: A review , 2019, Mechanical Systems and Signal Processing.

[43]  Haidong Shao,et al.  Rolling bearing fault feature learning using improved convolutional deep belief network with compressed sensing , 2018 .

[44]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[45]  Xinpan Yuan,et al.  Review of Key Technologies and Progress in Industrial Equipment Health Management , 2020, IEEE Access.