A Generalized Wiener Process Degradation Model with Two Transformed Time Scales

2016 ◽  
Vol 33 (4) ◽  
pp. 693-708 ◽  
Author(s):  
Zhihua Wang ◽  
Junxing Li ◽  
Xiaobing Ma ◽  
Yongbo Zhang ◽  
Huimin Fu ◽  
...  
Keyword(s):  
Wiener Process ◽  
Time Scales ◽  
Degradation Model ◽  
Generalized Wiener Process

A Wiener-process-based degradation model with a recursive filter algorithm for remaining useful life estimation

2013 ◽  
Vol 35 (1-2) ◽  
pp. 219-237 ◽  
Author(s):  
Xiao-Sheng Si ◽  
Wenbin Wang ◽  
Chang-Hua Hu ◽  
Mao-Yin Chen ◽  
Dong-Hua Zhou
Keyword(s):  
Wiener Process ◽  
Remaining Useful Life ◽  
Degradation Model ◽  
Recursive Filter ◽  
Life Estimation ◽  
Useful Life

Real-time Reliability Evaluation with a General Wiener Process-based Degradation Model

2013 ◽  
Vol 30 (2) ◽  
pp. 205-220 ◽  
Author(s):  
Xiaolin Wang ◽  
Ping Jiang ◽  
Bo Guo ◽  
Zhijun Cheng
Keyword(s):  
Real Time ◽  
Wiener Process ◽  
Reliability Evaluation ◽  
Degradation Model

scholarly journals Computational Intelligence-Based Prognosis for Hybrid Mechatronic System Using Improved Wiener Process

Actuators ◽  
2021 ◽  
Vol 10 (9) ◽  
pp. 213
Author(s):  
Ming Yu ◽  
Haotian Lu ◽  
Hai Wang ◽  
Chenyu Xiao ◽  
Dun Lan ◽  
...  
Keyword(s):  
Wiener Process ◽  
Remaining Useful Life ◽  
Fault Estimation ◽  
Mechatronic System ◽  
Degradation Model ◽  
Mode Change ◽  
Krill Herd Algorithm ◽  
Krill Herd ◽  
Analytical Redundancy ◽  
Signature Matrix

In this article, a fast krill herd algorithm is developed for prognosis of hybrid mechatronic system using the improved Wiener degradation process. First, the diagnostic hybrid bond graph is used to model the hybrid mechatronic system and derive global analytical redundancy relations. Based on the global analytical redundancy relations, the fault signature matrix and mode change signature matrix for fault and mode change isolation can be obtained. Second, in order to determine the true faults from the suspected fault candidates after fault isolation, a fault estimation method based on adaptive square root cubature Kalman filter is proposed when the noise distributions are unknown. Then, the improved Wiener process incorporating nonlinear term is developed to build the degradation model of incipient fault based on the fault estimation results. For prognosis, the fast krill herd algorithm is proposed to estimate unknown degradation model coefficients. After that, the probability density function of remaining useful life is derived using the identified degradation model. Finally, the proposed methods are validated by simulations.

scholarly journals A General Accelerated Degradation Model Based on the Wiener Process

Materials ◽  
2016 ◽  
Vol 9 (12) ◽  
pp. 981 ◽  
Author(s):  
Le Liu ◽  
Xiaoyang Li ◽  
Fuqiang Sun ◽  
Ning Wang
Keyword(s):  
Wiener Process ◽  
Degradation Model ◽  
Accelerated Degradation ◽  
Model Based

scholarly journals GENERALIZED WIENER PROCESS AND KOLMOGOROV'S EQUATION FOR DIFFUSION INDUCED BY NON-GAUSSIAN NOISE SOURCE

2005 ◽  
Vol 05 (02) ◽  
pp. L267-L274 ◽  
Author(s):  
ALEXANDER DUBKOV ◽  
BERNARDO SPAGNOLO
Keyword(s):  
White Noise ◽  
Wiener Process ◽  
Anomalous Diffusion ◽  
Gaussian Noise ◽  
Gaussian White Noise ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
Non Gaussian ◽  
Generalized Wiener Process ◽  
Fokker Planck

We show that the increments of generalized Wiener process, useful to describe non-Gaussian white noise sources, have the properties of infinitely divisible random processes. Using functional approach and the new correlation formula for non-Gaussian white noise we derive directly from Langevin equation, with such a random source, the Kolmogorov's equation for Markovian non-Gaussian process. From this equation we obtain the Fokker–Planck equation for nonlinear system driven by white Gaussian noise, the Kolmogorov–Feller equation for discontinuous Markovian processes, and the fractional Fokker–Planck equation for anomalous diffusion. The stationary probability distributions for some simple cases of anomalous diffusion are derived.

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