Organizations: Department of Computer Science and Engineering, Rajshahi University of Engineering and Technology, Rajshahi, Bangladesh · Department of Aeronautical Engineering, Military Institute of Science and Technology, Dhaka 1216, Bangladesh
Accurate Remaining Useful Life (RUL) prediction is a key requirement for effective Prognostics and Health Management (PHM) in safety-critical systems such as aero-engines. Existing deep learning approaches, particularly LSTM-based models, often struggle to generalize across varying operating conditions and are sensitive to noise in multivariate sensor data. To address these challenges, we propose a novel Bidirectional Residual Corrected LSTM (Bi-cLSTM) model for robust RUL estimation. The proposed architecture combines bidirectional temporal modeling with an adaptive residual correction mechanism to iteratively refine sequence representations. In addition, we introduce a condition-aware preprocessing pipeline incorporating regime-based normalization, feature selection, and exponential smoothing to improve robustness under complex operating environments. Extensive experiments on all four subsets of the NASA C-MAPSS dataset demonstrate that the proposed Bi-cLSTM consistently outperforms LSTM-based baselines and achieves competitive state-of-the-art performance, particularly in challenging multi-condition scenarios. These results highlight the effectiveness of combining bidirectional temporal learning with residual correction for reliable RUL prediction.
Figures & tables
Dataset
FD001
FD002
FD003
FD004
Engines in training set
100
260
100
249
Engines in testing set
100
259
100
248
Training trajectories
17,731
48,558
21,120
56,815
Testing trajectories
100
259
100
248
Max/min cycle for train
362/128
378/128
525/145
543/128
Max/min cycle for test
303/31
367/21
475/38
486/19
TABLE I : Each Sub-Unit of the C-MAPSS Dataset
Sensor Parameter
Description with Units
T2
Total Temperature in fan inlet (°R)
T24
Total Temperature at LPC outlet (°R)
T30
Total Temperature at HPC outlet (°R)
T50
Total Temperature at LPT outlet (°R)
P2
Pressure at fan inlet (psia)
P15
Total pressure in bypass-duct (psia)
TABLE II : Output Parameters of the C-MAPSS Turbofan Engine Datasets
Fig. 1 : Proposed Bi-cLSTM framework with a residual Corrector module. Input features are projected, processed by bidirectional LSTMs, refined through adaptive correction, and mapped to Remaining Useful Life (RUL) predictions.
Architecture
RMSE
MAE
R2
LSTM
27.5375
0.1607
0.5276
cLSTM
18.9375
0.1089
0.7766
Bi-LSTM
20.2125
0.1194
0.7454
Bi-cLSTM
17.5125
0.1066
0.8089
TABLE III : RUL prediction performance (RMSE, MAE in units; R2 dimensionless) on FD001 Sub-Unit
Dataset
2 Blocks
4 Blocks
6 Blocks
8 Blocks
10 Blocks
FD001
19.59
17.51
18.11
21.81
21.91
FD002
14.73
13.96
14.10
14.12
14.61
FD003
24.61
21.85
22.98
22.98
21.38
FD004
14.74
14.25
15.44
14.63
15.74
TABLE IV : Bi_cLSTM ablation across number of blocks using RMSE (lower is better).
Method
Year
Pre-processing steps
FD001
FD002
FD003
FD004
CNN [ 17 ]
2016
Data normalization; RUL target
18.44
30.29
19.81
29.15
LSTM [ 18 ]
2017
Data normalization; RUL target
16.14
24.49
16.18
28.17
BiLSTM [ 19 ]
2018
Feature sel.; norm; RUL target
13.65
23.18
13.74
24.86
CNN+LSTM [ 20 ]
2019
Var. threshold; norm; HI
16.16
20.44
17.12
23.25
Multi-head CNN+LSTM [ 21 ]
2020
Feature sel.; RUL target
12.19
19.93
12.85
22.89
CNN+LSTM+BiLSTM [ 5 ]
2020
Corr. analysis; min–max; RUL target
10.41
–
–
–
TABLE V : Chronological RMSE comparison on C - MAPSS (FD001–FD004). RMSE in cycles (lower is better).
Remaining Useful Life (RUL) estimation is a critical component of Prognostics and Health Management (PHM), enabling proactive maintenance scheduling and reducing unplanned failures in industrial equipment. This paper presents a comparative study of machine learning approaches for RUL estimation on the NASA C-MAPSS turbofan engine dataset: classical baselines (Ridge Regression, Polynomial Ridge, and XGBoost), a 1D Convolutional Neural Network (CNN), and a Long Short-Term Memory (LSTM) network. All models are evaluated on the FD001 and FD003 subsets under an identical preprocessing pipeline to ensure a fair comparison. Among raw-sequence models, the LSTM achieves RMSE of 14.93 and 14.20 on FD001 and FD003 respectively, outperforming the deep LSTM reported by Zheng et al.~\cite{paper} (RMSE 16.14 and 16.18) despite using a simpler single-layer architecture. The 1D CNN achieves RMSE of 16.97 on FD001 and 15.68 on FD003, demonstrating competitive performance on FD003 while producing more conservative RUL predictions on FD001. Ridge Regression is evaluated on raw and engineered features, while other classical models use only engineered inputs. XGBoost achieves an RMSE of 13.36 on FD003, highlighting the competitiveness of nonlinear modeling.
Astitva Goel, Samarth Galchar, Sumit Kanu
Khoury College of Computer Science, Northeastern University
Accurate prediction of Remaining Useful Life (RUL) in aero-engines is vital for predictive maintenance, improved operational reliability, and reduced lifecycle costs. While deep learning approaches have demonstrated strong potential in this area, most existing methods focus primarily on model architecture design and treat input features uniformly, often neglecting the influence of data preprocessing. In this work, we propose a novel preprocessing pipeline that enhances RUL prediction by improving data quality and temporal representation before model training. Our approach leverages complete temporal sequences and generates RUL estimates at each timestep, enabling the model to capture fine-grained degradation dynamics and deliver continuous prognostic insights throughout the engine's operational life. To validate the effectiveness of the proposed pipeline, we conduct experiments on the NASA C-MAPSS dataset. Comparative evaluations against a suite of state-of-the-art neural models including CNN, RNN, LSTM, DCNN, TCN, BiGRU-TSAM, AGCNN, and ATCN, demonstrate that our approach consistently achieves superior accuracy and robustness in aero-engine RUL prediction. These results highlight the critical role of preprocessing in maximizing the effectiveness of neural prognostic models.
Florent Imbert, Tosin Adewumi, Hui Han
Machine Learning Group · Lulea University of Technology · Lulea, Sweden
This study presents a novel hybrid prognostic framework for uncertainty-aware Remaining Useful Life (RUL) estimation in turbofan engines using the NASA C-MAPSS dataset. The framework employs a state-aware strategy that bifurcates the engines operational lifespan into "healthy" and "degraded" regimes. An LSTM-based autoencoder, trained strictly on nominal data (RUL > 150 cycles), monitors reconstruction error to act as a robust state classifier. For the healthy regime, a Conditional Weibull Survival Analysis is used for Mean Residual Life estimation. For the degraded regime, a Probabilistic Neural Network with Monte Carlo Dropout captures both aleatoric and epistemic uncertainties. Rather than using rigid binary labels, a calibrated sigmoid function converts the autoencoders output into continuous state probabilities, dynamically weighting the final ensemble prediction. The primary strength of this framework is its generation of physically consistent uncertainty bands, yielding high-confidence predictions near end-of-life while accurately reflecting the inherent variance of early operation, providing a robust tool for risk-informed maintenance.
Xabier Belaunzaran, Antonio Nappa, Arkaitz Artetxe +1
Fundación Vicomtech · Basque Research and Technology Alliance (BRTA) · Mikeletegi 57, Donostia-San Sebastian, 20009, Spain +2