Title: Output-only parameter identification of a colored-noise-driven Van der Pol oscillator -- Thermoacoustic instabilities as an example,
Abstract: The problem of output-only parameter identification for nonlinear oscillators
forced by colored noise is considered. In this context, it is often assumed
that the forcing noise is white, since its actual spectral content is unknown.
The impact of this white noise forcing assumption upon parameter identification
is quantitatively analyzed. First, a Van der Pol oscillator forced by an
Ornstein-Uhlenbeck process is considered. Second, the practical case of
thermoacoustic limit cycles in combustion chambers with turbulence-induced
forcing is investigated. It is shown that in both cases, the system parameters
are accurately identified if time signals are appropriately band-pass filtered
around the oscillator eigenfrequency.