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Article

Adaptive Remaining Useful Life Estimation of Rolling Bearings Using an Incremental Unscented Kalman Filter with Nonlinear Degradation Tracking

1
School of Mechatronic Engineering, Henan University of Science and Technology, Luoyang 471003, China
2
Collaborative Innovation Center of Henan Province for High-End Bearing, Luoyang 471003, China
3
School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China
4
School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China
5
Longmen Laboratory, Luoyang 471000, China
*
Author to whom correspondence should be addressed.
Machines 2025, 13(11), 1058; https://doi.org/10.3390/machines13111058 (registering DOI)
Submission received: 24 October 2025 / Revised: 6 November 2025 / Accepted: 12 November 2025 / Published: 16 November 2025

Abstract

In consideration of the characteristics of two-stage (stable and degraded), nonlinearity and non-stationary randomness in the full life-cycle evolution process of the rolling bearing health indicator (HI), a novel remaining useful life (RUL) prediction method for rolling bearings is proposed based on long short-term memory network–Mahalanobis distance (LSTM-MD) and an incremental unscented Kalman filter (IUKF). First, an LSTM-MD hybrid algorithm is developed to precisely identify the critical change point (CP) between stable operation and incipient degradation in bearing HI trajectories, effectively mitigating the susceptibility of conventional threshold-based methods to HI fluctuations. Second, during the degradation stage, a degradation analysis model based on the nonlinear Wiener process is constructed. Simultaneously, an IUKF-based RUL prediction method for bearings is proposed, which overcomes the implicit assumption of the traditional UKF method that one-step prediction can replace state prediction, particularly in scenarios with significant HI fluctuations, thereby significantly reducing prediction errors. Finally, the proposed method is validated through comparisons with traditional methods using both the XJTU-SY public dataset and a self-built bearing test dataset. The results demonstrate that compared to traditional methods, the accuracy of initial degradation change point identification is improved by 32.6%, and the root mean square error (MSE) of RUL prediction is decreased by 41.8%.
Keywords: rolling bearings; RUL prediction; incremental unscented Kalman filtering; change point identification rolling bearings; RUL prediction; incremental unscented Kalman filtering; change point identification

Share and Cite

MDPI and ACS Style

Shang, X.; Li, J.; Lou, T.; Wang, Z.; Pang, X.; Zhang, Z. Adaptive Remaining Useful Life Estimation of Rolling Bearings Using an Incremental Unscented Kalman Filter with Nonlinear Degradation Tracking. Machines 2025, 13, 1058. https://doi.org/10.3390/machines13111058

AMA Style

Shang X, Li J, Lou T, Wang Z, Pang X, Zhang Z. Adaptive Remaining Useful Life Estimation of Rolling Bearings Using an Incremental Unscented Kalman Filter with Nonlinear Degradation Tracking. Machines. 2025; 13(11):1058. https://doi.org/10.3390/machines13111058

Chicago/Turabian Style

Shang, Xiangdian, Junxing Li, Taishan Lou, Zhihua Wang, Xiaoxu Pang, and Zhiwen Zhang. 2025. "Adaptive Remaining Useful Life Estimation of Rolling Bearings Using an Incremental Unscented Kalman Filter with Nonlinear Degradation Tracking" Machines 13, no. 11: 1058. https://doi.org/10.3390/machines13111058

APA Style

Shang, X., Li, J., Lou, T., Wang, Z., Pang, X., & Zhang, Z. (2025). Adaptive Remaining Useful Life Estimation of Rolling Bearings Using an Incremental Unscented Kalman Filter with Nonlinear Degradation Tracking. Machines, 13(11), 1058. https://doi.org/10.3390/machines13111058

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