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<p>This paper deals with a new prognosis methodology based on an interval multi-observer of a nonlinear system subject to disturbances and output noise. The RUL of the system in a degraded situation is then determined using the interval approach. The idea is based on two steps: In the first, a diagnostic algorithm is designed to detect and estimate the fault in addition to the full system state. This estimation is realized over a past receding window where a polynomial equation is used to approximate the sensor fault behavior. In the second step, the system dynamic is predicted over a moving prediction horizon using the system model and the approximate fault model identified in the first step to obtain the lower and upper bounds of the remaining useful life. A numerical example is presented to show the efficiency, performance, and accuracy of the proposed methodologies.</p>

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Prognosis of Uncertain Discrete-Time Nonlinear Systems for Remaining Useful Life Estimation

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • Rania Mbarak,
  • Moez Boussada,
  • Anis Messaoud

摘要

This paper deals with a new prognosis methodology based on an interval multi-observer of a nonlinear system subject to disturbances and output noise. The RUL of the system in a degraded situation is then determined using the interval approach. The idea is based on two steps: In the first, a diagnostic algorithm is designed to detect and estimate the fault in addition to the full system state. This estimation is realized over a past receding window where a polynomial equation is used to approximate the sensor fault behavior. In the second step, the system dynamic is predicted over a moving prediction horizon using the system model and the approximate fault model identified in the first step to obtain the lower and upper bounds of the remaining useful life. A numerical example is presented to show the efficiency, performance, and accuracy of the proposed methodologies.