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<p>This paper deals with the synthesis of an observer for nonlinear Andronov-Hopf oscillators exhibiting state observability singularities. These singularities are addressed by considering fictitious outputs to access unobservable states. The resulting global immersion is extended into a diffeomorphism through appropriate dynamic extension for proposing singularity-free multi-output standard and low-power High Gain Observers (HGO) in the original coordinates. Both observers are applied to a nonlinear oscillator to estimate variables in a wake flow behind a bluff body for fluid mechanics purposes. Simulation results prove the efficacy and robustness of the proposed observer compared to a standard HGO.</p>

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Singularity & peaking-free low-power high gain observer for Andronov-Hopf oscillators

  • 期刊论文

  • 发表日期：

    2026年4月23日

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  • Javeria Ahmed,
  • Matthieu Fruchard,
  • Estelle Courtial,
  • Youssoufi Touré

摘要

This paper deals with the synthesis of an observer for nonlinear Andronov-Hopf oscillators exhibiting state observability singularities. These singularities are addressed by considering fictitious outputs to access unobservable states. The resulting global immersion is extended into a diffeomorphism through appropriate dynamic extension for proposing singularity-free multi-output standard and low-power High Gain Observers (HGO) in the original coordinates. Both observers are applied to a nonlinear oscillator to estimate variables in a wake flow behind a bluff body for fluid mechanics purposes. Simulation results prove the efficacy and robustness of the proposed observer compared to a standard HGO.