Quantifying stochastic limit-cycle parameters from the adjoint Fokker-Planck equation

Abstract eng:
Important parameters such as linear growth/decay rates in thermoacoustic systems can be identified based on acoustic pressure signals, by taking advantage of turbulent-induced noise and making use of the Fokker-Planck equation. However, this kind of system identification technique suffers from finite-time effects, e.g. band-pass filtering or low sampling rates. A new method based on the adjoint Fokker-Planck equation is presented for identifying parameters in a robust and accurate way, even in the presence of finite-time constraints.

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