Abstract

Remaining useful life (RUL) prediction plays a crucial role in prognostics and health management (PHM). Recently, the adaptive model-based RUL prediction, which is proven effective and flexible, has gained considerable attention. Most research on adaptive degradation models focuses on the Wiener process. However, since the degradation process of some products is accumulated and irreversible, the inverse Gaussian (IG) process that can describe monotonic degradation paths is a natural choice for degradation modelling. This article proposes a nonlinear adaptive IG process along with the corresponding state space model considering measurement errors. Then, an improved particle filtering algorithm is presented to update the degradation parameter and estimate the underlying degradation state under the nonGaussian assumptions in the state space model. The RUL prediction depending on historical degradation data is derived based on the results of particle methods, which can avoid high-dimensional integration. In addition, the expectation-maximization (EM) algorithm combined with an improved particle smoother is developed to estimate and adaptively update the unknown model parameters once newly monitored degradation data become available. Finally, this article concludes with a simulation study and a case application to demonstrate the applicability and superiority of the proposed method.

Highlights

  • With the improvement of the design levels and manufacturing techniques, products are getting more and more reliable

  • In this article, an adaptive inverse Gaussian (IG) process model is presented for remaining useful life (RUL) prediction

  • To incorporate measurement errors and derive the RUL based on the historical degradation data, we construct a state space model

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Summary

INTRODUCTION

With the improvement of the design levels and manufacturing techniques, products are getting more and more reliable. Si et al [17] developed a Wiener process-based degradation model with a recursive filtering algorithm They revealed that considering such distribution could reduce the uncertainty of the estimated RUL. Zhai and Ye [24] had similar views and considered that the existing studies used an autoregressive model of order 1 for the adaptive drift They introduced a new adaptive Wiener process model that modelled the adaptive drift by a continuous Brownian motion, and presented an analytical parameter estimation method without using the filtering algorithm. Xu and Wang [31] developed a linear adaptive IG process to characterize the degradation process of condition monitored components, and to employ a general Bayesian filtering process, they assumed that the sampling interval was fixed Their model did not incorporate measurement errors and the derived RUL did not make full use of historical degradation data.

STATE SPACE MODEL WITH MEASUREMENT ERRORS
RUL BASED ON THE HISTORICAL DATA
PARAMETER ESTIMATION
IMPROVED PARTICLE SMOOTHING ALGORITHM
PARAMETER UPDATING ALGORITHM
ILLUSTRATIVE EXAMPLES
SIMULATION STUDY
CONCLUSION

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