O. Gottlieb et M. Feldman, APPLICATION OF A HILBERT TRANSFORM-BASED ALGORITHM FOR PARAMETER-ESTIMATION OF A NONLINEAR OCEAN SYSTEM ROLL MODEL, Journal of offshore mechanics and Arctic engineering, 119(4), 1997, pp. 239-243
We combine an averaging procedure with a Hilbert transform-based algor
ithm for parameter estimation of a nonlinear ocean system roll model.
System backbone curves obtained from data are compared to those obtain
ed analytically and are found to be accurate. Sensitivity of the resul
ts is tested by introducing random noise to a nonlinear model describi
ng roll response of a small fishing boat. An example field calibration
rest of a small semisubmersible exhibiting nonlinear damping is also
considered.