CAPS Laboratory, MAVT Department ETH Zürich, 8092 Zürich, Switzerland.
Phys Rev E. 2017 Jun;95(6-1):062217. doi: 10.1103/PhysRevE.95.062217. Epub 2017 Jun 19.
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.
考虑了受有色噪声激励的非线性振荡器的仅有输出参数识别问题。在这种情况下，通常假设激励噪声是白色的，因为其实际频谱内容是未知的。本文定量分析了这种白噪声激励假设对参数识别的影响。首先，研究了受 Ornstein-Uhlenbeck 过程激励的 Van-der-Pol 振荡器。其次，研究了在具有湍流激励的燃烧室中热声极限环的实际情况。结果表明，在这两种情况下，如果时间信号在振荡器固有频率附近适当进行带通滤波，则可以准确识别系统参数。
