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BIBO stability of continuous and discrete -time systems

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Related Experiment Videos

Dynamic system reliability under external shocks and internal markovian degradation.

Vaibhav Bisht1, Sunita Sharma2, S B Singh3

  • 1Department of Mathematics, Jaypee University of Engineering and Technology, Guna, India.

Scientific Reports
|May 30, 2026
PubMed
Summary
This summary is machine-generated.

Harsh environments degrade systems through shocks and internal wear. A new maintenance strategy drastically improves reliability and availability by mitigating these effects, proving proactive upkeep essential.

Keywords:
[Formula: see text]-transformExternal ShockMarkovian DegradationReliabilityand Availability

Related Experiment Videos

Area of Science:

  • Engineering
  • Reliability Engineering
  • System Dynamics

Background:

  • Systems in harsh environments face combined threats of extreme external shocks and internal degradation.
  • This dual-stressor failure mode is often neglected in traditional reliability engineering.
  • Doubly-Fed Induction Generators (DFIGs) are susceptible to these combined operational challenges.

Purpose of the Study:

  • To develop a novel mathematical model for analyzing the coupled effects of shocks and degradation.
  • To investigate the impact of these combined stressors on system performance, specifically availability and reliability.
  • To propose and evaluate a new maintenance strategy to enhance system resilience.

Main Methods:

  • Development of a novel [Formula: see text]-transform model to dynamically analyze coupled shock and degradation effects.
  • Application of the model to a Doubly-Fed Induction Generator (DFIG) system.
  • Introduction of a novel maintenance strategy incorporating dummy states for performance enhancement.

Main Results:

  • The coupled effects of shocks and degradation lead to a severe, asymptotic decline in DFIG availability and reliability towards zero.
  • Reliability degrades more rapidly due to the irreversible nature of failures caused by combined stressors.
  • The proposed maintenance strategy significantly improves system resilience, achieving near-perfect reliability and availability (approaching 1.0).
  • This strategy effectively mitigates time-dependent degradation, sustaining high performance indefinitely and improving vulnerable systems substantially.

Conclusions:

  • Proactive maintenance is crucial for ensuring sustainable operation of systems in environments prone to shocks and degradation.
  • The proposed maintenance strategy, based on dummy states, offers a non-redundancy-based solution to enhance system resilience.
  • The findings underscore the indispensable role of strategic maintenance in overcoming the challenges posed by complex failure modes in harsh operational settings.