The Derivative as a Probabilistic Synthesis of Past and Future Data and Remaining Useful Life Prediction

  • Berenice Camargo Damasceno
  • Luciano Barbanti
  • Hadamez Kuzminskas
  • Márcio Antonio Bazani
Chapter

Abstract

The concept of remaining useful life (RUL) is crucial when dealing with mechanical systems. RUL is taken into account in a system through a series of prognostics and the study of stability in a related data series. This paper is focused on a powerful optimal technique in prognosis coming from the Grünwald–Letnikov definition of derivative.

Keywords

Grünwald–Letnikov derivative Probability Forecasting 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Berenice Camargo Damasceno
    • 1
  • Luciano Barbanti
    • 1
  • Hadamez Kuzminskas
    • 2
  • Márcio Antonio Bazani
    • 3
  1. 1.Department of MathematicsSão Paulo State University (UNESP)Ilha SolteiraBrazil
  2. 2.Department of Electrical EngineeringSão Paulo State University (UNESP)Ilha SolteiraBrazil
  3. 3.Department of Mechanical EngineeringSão Paulo State University (UNESP)Ilha SolteiraBrazil

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