Stabilisation of linear reduced order model of aerofoil gust response via restarting

A method has been proposed for stabilising a linear Reduced Order Model of aerofoil gust response. The reduced model is based on linear subspace system identification in the frequency domain. It is shown that by applying shifts to remove the unstable eigenvalues from the reduced system, a stable reduced order model can be generated. A further method is suggested for correcting the steady state response of the reduced model to match exactly with the full order steady state response. The created reduced system is tested by prescribing a series of 1-cosine gusts and comparing the output to the full order simulations.