This study investigates a fault-tolerant control strategy that maximises disturbance rejection in the fault-free model while ensuring stability under all fault circumstances. The Lyapunov stability criterion is used to guarantee stability in faulty scenarios, whereas the H∞ control approach is used to minimise the performance indicator, γ, in the fault-free model. The H∞ control approach simplifies the solution procedure by transforming the issue into a linear matrix inequality (LMI) by utilising the bounded real lemma (BRL). Every fault scenario is addressed iteratively by the design strategy.

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Fault Tolerant Design Using H Infinity with Lyapunov Stability

  • Kara Hicham,
  • Bououden Sofiane,
  • Boulkaibet Ilyes,
  • Neji Bilel

摘要

This study investigates a fault-tolerant control strategy that maximises disturbance rejection in the fault-free model while ensuring stability under all fault circumstances. The Lyapunov stability criterion is used to guarantee stability in faulty scenarios, whereas the H∞ control approach is used to minimise the performance indicator, γ, in the fault-free model. The H∞ control approach simplifies the solution procedure by transforming the issue into a linear matrix inequality (LMI) by utilising the bounded real lemma (BRL). Every fault scenario is addressed iteratively by the design strategy.