Control-Based Continuation for self oscillating systems: application to flow induced vibrations.

Abstract

An enhanced version of Control-Based Continuation (CBC) is proposed to carry out experimental continuation on self-sustained systems, whose working frequency is not known a priori. Our approach combines three main stages: an online frequency tracking algorithm using an embedded phase-locked loop, an online noninvasive CBC stabilization loop using adaptive filters, and a derivative free arc continuation algorithm. As a proof of concept, it is implemented to study an elementary aero-vibro-acoustical model of buzzing lips that exhibits self-sustained oscillations with a wide range of fundamental frequency. The model relies on interactions between an acoustical resonator (the air column) and an oscillating valve (the lips) through a nonlinear flow. The Control-Based Continuation is implemented without taking advantage of the modelling equations, mimicking a real experiment. This results in a pseudo-experimental bifurcation diagram, showing strong accordance with virtual open-loop testing and numerical continuation, which proves robustness of our method.

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BibTeX RIS

BibTeX

@article{caron2026controlbased,
  title = {{Control-Based Continuation for self oscillating systems: application to flow induced vibrations.}},
  author = {Romain Caron and Etienne Gourc and Bruno Cochelin and Fabrice Silva and Christophe Vergez},
  journal = {Mechanical Systems and Signal Processing},
  year = {2026},
  month = nov,
  doi = {10.1016/j.ymssp.2026.115023},
  url = {https://hal.science/hal-05639581v2},
  note = {CC BY 4.0},
}

RIS

TY  - JOUR
TI  - Control-Based Continuation for self oscillating systems: application to flow induced vibrations.
AU  - Romain Caron
AU  - Etienne Gourc
AU  - Bruno Cochelin
AU  - Fabrice Silva
AU  - Christophe Vergez
PY  - 2026
DA  - 2026/11/03
JO  - Mechanical Systems and Signal Processing
DO  - 10.1016/j.ymssp.2026.115023
UR  - https://hal.science/hal-05639581v2
AB  - An enhanced version of Control-Based Continuation (CBC) is proposed to carry out experimental continuation on self-sustained systems, whose working frequency is not known a priori. Our approach combines three main stages: an online frequency tracking algorithm using an embedded phase-locked loop, an online noninvasive CBC stabilization loop using adaptive filters, and a derivative free arc continuation algorithm. As a proof of concept, it is implemented to study an elementary aero-vibro-acoustical model of buzzing lips that exhibits self-sustained oscillations with a wide range of fundamental frequency. The model relies on interactions between an acoustical resonator (the air column) and an oscillating valve (the lips) through a nonlinear flow. The Control-Based Continuation is implemented without taking advantage of the modelling equations, mimicking a real experiment. This results in a pseudo-experimental bifurcation diagram, showing strong accordance with virtual open-loop testing and numerical continuation, which proves robustness of our method.
SN  - 0888-3270
SN  - 1096-1216
ER  -

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