ADAPTIVE 2ND-ORDER VOLTERRA FILTERING AND ITS APPLICATION TO 2ND-ORDER DRIFT PHENOMENA

This paper presents an adaptive second-order Volterra filter and its a pplication to model-test data of a prototype tension leg platform (TLP ). The least-squares approach of a second-order Volterra model and its adaptive filtering algorithm based on recursive least-squares are int roduced. The second-order Volterra filter is applied to identify the l inear and quadratically nonlinear relationship between irregular sea w ave excitation and the surge response of a tension leg platform. Next, a deconvolution technique, based on the impulse invariance standard Z -transform, is utilized to recover the linear and quadratic forces exe rted on the TLP.