2018
DOI: 10.1109/tmech.2017.2666199
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Real-Time Remaining Useful Life Prediction for a Nonlinear Degrading System in Service: Application to Bearing Data

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Cited by 65 publications
(43 citation statements)
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“…For simplicity, the method proposed in this paper is referred to as M1, the method based on traditional Bayesian method is referred to as M2. The traditional Bayesian method for the nonlinear method can be referred to [10], [26], where the linear degradation is a special case. In order to better illustrate the estimated accuracy, the relative error (RE) and the mean square error (MSE) are defined as follows:…”
Section: B the Practical Case Studymentioning
confidence: 99%
See 1 more Smart Citation
“…For simplicity, the method proposed in this paper is referred to as M1, the method based on traditional Bayesian method is referred to as M2. The traditional Bayesian method for the nonlinear method can be referred to [10], [26], where the linear degradation is a special case. In order to better illustrate the estimated accuracy, the relative error (RE) and the mean square error (MSE) are defined as follows:…”
Section: B the Practical Case Studymentioning
confidence: 99%
“…linear Wiener process, nonlinear Wiener process [22], and the validity of these methods has also been verified by many simulation examples and case studies. This Bayesian mechanism has also been applied to the generalized Wiener process [23], Wiener process with skew-normal random effects [24], bivariate Wiener degradation process [25], nonlinear Wiener process [26], [27], additive Wiener process [28], Adaptive Wiener process [29], Wiener process with imperfect inspections [30], Wiener process with measurement error [10], etc. Under the Bayesian framework, the RUL estimation results include the degradation information of congeneric units and the field assessed unit.…”
Section: Introductionmentioning
confidence: 99%
“…The simplified manufacturing system model is established by two types of machines in which station 3 has a rework process. So, the sum of input parameters r si1 (i = 1, 2, 3, 4 and 5) and r s32 is 1, and the qualification rates of these machines are calculated on the basis of equations (7) and (8) as r s11 = 0:95, r s21 = 0:93, r s31 = 0:94, r s41 = 0:97 and r s51 = 0:94.…”
Section: Numerical Examplementioning
confidence: 99%
“…Degradation modeling approaches, based on Wiener processes, Gamma processes and Markov chain processes, are systematically reviewed in [6]. Nowadays, the Wiener processes have been successfully applied in many fields, including batteries [3], gyroscopes [7], aviation piston pumps [8], blast furnace walls [9], bearings [22], and liquid coupling devices [11], etc., due to its excellent mathematical properties. Thus, this paper focuses mainly on the Wiener-process-based stochastic degradation modeling.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, it is necessary to incorporate these three sources of variability into stochastic degradation modeling to reduce the uncertainty of the RUL estimation. Nevertheless, most previous studies on the use of stochastic degradation models to estimate the RUL of degraded systems focused primarily on considering one or two sources of variability [4], [8], [9], [11], [12], [17], [18], [20]- [22]. For example, in [9], the measurement variability and temporal variability were considered to estimate the RUL of a multi-component degradation system, and the expectation maximization (EM) algorithm was used to estimate model parameters online.…”
Section: Introductionmentioning
confidence: 99%