Application of higher order spectrum in analysis of magneto-rheological damper control

Abstract

Higher order spectral analysis can be used to identify nonlinearities in the complex dynamical systems. This proposal shows that the contributions of the bispectrum, trispectrum, reconstructed bispectrum and reconstructed power spectrum in terms of the system frequency response function and elementary physical properties of the MR damping system. Subsequent estimates of the HOS based on the output stochastic oscillating signals appear distinct variation. An experimental platform for MR vibrating semi-active control is built, proper simplifications are presented, an AR(10) model is established with colored noises from the output signals. Comparison between power spectrum from second order moment function and bispectrum, trispectrum are taken. The later gives an indication of the correlation between the phases of different frequency components. Since time series model is a parametric model, the reconstructed bispectrum and power spectrum are smooth. It is demonstrated that the higher order spectra are effectively for recognition and description of nonlinear systems.

Keywords

MRF / vibrating control / time series / higher order spectrum / bispectrum / trispectrum