journal article·2026-06-17Open access

RUL Prediction of Rotating Machinery: A Multi-Channel Information Fusion Forecasting Framework and GMM Evolution-Based Health Indicator Construction

Qinqing Fan, Xiaoman Zhang, Xiaochen Zhang

Applied Sciences· Volume 16· Issue 12

Abstract

To address the challenges of complex multi-channel signal coupling and insufficient long-term temporal dependency characterization in remaining useful life (RUL) prediction of rotating machinery, this paper proposes a multivariate time series forecasting framework integrating multi-channel information fusion and a self-attention gated augmentation unit (SGAU). First, a multilayer perceptron (MLP) explicitly models nonlinear coupling among channels; SGAU replaces the conventional feed-forward network in the Transformer encoder, using multi-head self-attention outputs as gating signals to adaptively regulate feature transformation. Second, multi-channel signals are predicted via this framework; high-dimensional feature vectors are extracted to construct multi-channel Gaussian mixture models (GMMs). Third, Jensen–Shannon divergence (JSD) quantifies deviations between the target and initial data clusters; centroid distance evolutionary trajectory is fused with JSD to construct the health indicator (HI). Continuous HI predictions yield the RUL prediction curve. Experiments on a self-designed wind turbine gearbox platform and the XJTU-SY bearing dataset demonstrate that the proposed framework outperforms baseline methods on Mean Square (MS), Root Mean Square (RMS), and Energy metrics, with average error reductions of 6.6% and 12.1% in the horizontal and vertical directions on the gearbox dataset and 20.9% and 32.3% on the bearing dataset, confirming its effectiveness and generalization capability.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Machine Fault Diagnosis Techniques · Energy Load and Power Forecasting · Power Transformer Diagnostics and Insulation

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou 350117, China

College of Computer and Cyber Security, Fujian Normal University, Fuzhou 350117, China

Funding

National Natural Science Foundation of China

References (47)

Show source-provided references
1. A hybrid prognostic method for rotating machinery under time-varying operating conditions by fusing direct and indirect degradation characteristics10.1016/j.measurement.2023.112831 ↗
2. Feature learning for bearing prognostics: A comprehensive review of machine/deep learning methods, challenges, and opportunities10.1016/j.measurement.2024.116589 ↗
3. Babak, V., Zaporozhets, A., Kuts, Y., Fryz, M., and Scherbak, L. (2025). Identification of Vibration Noise Signals of Electric Power Facilities. Noise Signals: Modelling and Analyses, Springer Nature.10.1007/978-3-031-71093-3 ↗
4. Res-HSA: Residual hybrid network with self-attention mechanism for RUL prediction of rotating machinery10.1016/j.engappai.2023.106491 ↗
5. Spatio-temporal graph convolutional network with domain generalization: A novel rotating machinery RUL prediction method in small samples10.1016/j.aei.2025.103522 ↗
6. Generalized multiscale feature extraction for remaining useful life prediction of bearings with generative adversarial networks10.1016/j.knosys.2021.107866 ↗
7. Domain generalization via adversarial out-domain augmentation for remaining useful life prediction of bearings under unseen conditions10.1016/j.knosys.2022.110199 ↗
8. Causal dilated Convolution-Based residual DenseNet with channel attention for RUL prediction of rolling bearings10.1016/j.measurement.2024.115012 ↗
9. A hybrid prognosis scheme for rolling bearings based on a novel health indicator and nonlinear Wiener process10.1016/j.ress.2024.110014 ↗
10. A multi-stage bearing remaining useful life prediction framework integrating dual-layer data fusion and feature correction10.1016/j.measurement.2026.120991 ↗
11. Predictive framework for remaining useful life of roller bearings: Utilizing fractional generalized Pareto degradation model in performance evaluation10.1016/j.measurement.2024.115772 ↗
12. A gated graph convolutional network with multi-sensor signals for remaining useful life prediction10.1016/j.knosys.2022.109340 ↗
13. Bearing remaining useful life prediction with convolutional long short-term memory fusion networks10.1016/j.ress.2022.108528 ↗
14. Multi-Sensor Data-Driven Remaining Useful Life Prediction of Semi-Observable Systems10.1109/TIE.2020.3038069 ↗
15. A nonlinear dynamic ensemble remaining useful life prediction method considering multi-source data uncertainty10.1016/j.ymssp.2025.112607 ↗
16. Compact transformer variants for synthetic time series forecasting10.1016/j.neucom.2026.133140 ↗
17. SageFormer: Series-Aware Framework for Long-Term Multivariate Time-Series Forecasting10.1109/JIOT.2024.3363451 ↗
18. MCformer: Multivariate Time Series Forecasting With Mixed-Channels Transformer10.1109/JIOT.2024.3401697 ↗
19. Deep learning-based time series forecasting10.1007/s10462-024-10989-8 ↗
20. Deep learning for time series forecasting: A survey10.1007/s13042-025-02560-w ↗
21. Multilayer perceptron-based lightweight model for unsupervised cross domain fault diagnosis10.1016/j.ces.2025.122426 ↗
22. Spatio-temporal MLP model incorporating physical-informational neural networks for remaining useful life prediction10.1016/j.ymssp.2025.113815 ↗
23. Adaptive staged remaining useful life prediction method based on multi-sensor and multi-feature fusion10.1016/j.ress.2022.109033 ↗
24. Hua, W., Dai, Z., Liu, H., and Le, Q. (2022, January 17–23). Transformer quality in linear time. Proceedings of the International Conference on Machine Learning, Baltimore, MD, USA.
25. A novel evidence reasoning-based RUL prediction method integrating uncertainty information10.1016/j.ress.2024.110250 ↗
26. Assessing feature scorer results on high-dimensional datasets with t-SNE10.1016/j.neucom.2025.130561 ↗
27. Construction of health indicators for condition monitoring of rotating machinery: A review of the research10.1016/j.eswa.2022.117297 ↗
28. The transient concept of bearings: A novel strategy for RUL prediction10.1088/1361-6501/ad0688 ↗
29. A new supervised multi-head self-attention autoencoder for health indicator construction and similarity-based machinery RUL prediction10.1016/j.aei.2023.101973 ↗
30. A Novel Spatiotemporal Enhanced Convolutional Autoencoder Network for Unsupervised Health Indicator Construction
31. Remaining useful life prediction of bearings by a new reinforced memory GRU network10.1016/j.aei.2022.101682 ↗
32. Babak, V., Babak, S., Eremenko, V., Kuts, Y., and Zaporozhets, A. (2025). Statistical Processing of Measurement Data. Information-Measuring Systems: Theory and Application, Springer Nature.10.1007/978-3-031-89406-0 ↗
33. Bearing degradation assessment and remaining useful life estimation based on Kullback-Leibler divergence and Gaussian processes regression10.1016/j.measurement.2020.108948 ↗
34. Jensen-Shannon divergence based novel loss functions for Bayesian neural networks10.1016/j.neucom.2024.129115 ↗
35. Remaining Useful Life Prediction by Distribution Contact Ratio Health Indicator and Consolidated Memory GRU10.1109/TII.2022.3218665 ↗
36. Optimality of the mean-square value, skewness, kurtosis, and synentropy for detection of weak additive fault signatures in (nearly) Gaussian noise10.1016/j.ymssp.2025.113828 ↗
37. A Hybrid Prognostics Approach for Estimating Remaining Useful Life of Rolling Element Bearings10.1109/TR.2018.2882682 ↗
38. Learning hierarchical time-frequency representation for long-term time series forecasting10.1016/j.ipm.2025.104358 ↗
39. Tri-DCNNet: A three-branch network with deep compensation for wind power forecasting10.1016/j.compeleceng.2026.111104 ↗
40. PRformer: Pyramidal recurrent transformer for multivariate time series forecasting10.1016/j.neunet.2025.107769 ↗
41. EMForecaster: A Deep Learning Framework for Time Series Forecasting in Wireless Networks With Distribution-Free Uncertainty Quantification10.1109/TNSE.2025.3592574 ↗
42. TimeCNN: Refining inscross-variable interaction on time point for time series forecasting10.1016/j.neunet.2025.108312 ↗
43. DiffMixer: A prediction model based on mixing different frequency features10.1016/j.neunet.2025.108188 ↗
44. VMD-ConvTSMixer: Spatiotemporal channel mixing model for non-stationary time series forecasting10.1016/j.eswa.2025.126535 ↗
45. TFDNet: Time-Frequency enhanced Decomposed Network for long-term time series forecasting10.1016/j.patcog.2025.111412 ↗
46. A new unsupervised health index estimation method for bearings early fault detection based on Gaussian mixture model10.1016/j.engappai.2023.107562 ↗
47. Structural novelty detection with Laplace asymptotic expansion of the Bhattacharyya distance of transmissibility and Bayesian resampling scheme10.1016/j.jsv.2022.117277 ↗