Feedforward and feedback optimal control for offshore structures subjected to irregular wave forces

This paper studies the vibration control of a jacket-type offshore platform with an active mass damper (AMD) and presents a feedforward and feedback optimal control (FFOC) law. The linearized Morison equation is employed to estimate the wave load. The offshore structure is simplified into a single degree of freedom (SDOF) system. The original vibration control is formulated as the optimal control for a linear discrete-time system affected by external disturbances with known dynamic characteristics but unknown initial conditions. We give the existence and uniqueness conditions of the FFOC law. Simulation results show that, compared with the classical state feedback optimal control (CFOC) law, the presented control scheme is more efficient in reducing the displacement and velocity of the offshore structure subjected to irregular wave forces.