Approximation Optimal Vibration Control with Applications to Jacket Offshore Platforms with Nonlinear Dynamic Characteristics

The vibration control problem of offshore jacket platforms is studied. The model of offshore platforms with nonlinear interactions of the pile-soil affected by the wave load disturbances is established. The wave loads are determined by using the Morison equation and are considered as disturbances with known dynamic characteristics but unknown initial conditions. Based on the successive approximation approach (SAA), we propose an approximate optimal vibration control scheme for the nonlinear systems of the offshore jacket platforms. Numerical simulations illustrate the effectiveness of the proposed approach.