Ocean waves represent a vast and promising renewable energy resource. Wave Energy Converters aim to harness this potential by converting wave-induced mechanical motion into electrical power. Despite their promise, WECs face challenges related to efficiency, reliability, and high capital and operational costs. Among the most promising solutions for improving energy extraction is Model Predictive Control, a control strategy that explicitly handles system constraints and optimises a performance objective over a finite time horizon. This thesis investigates the design of MPC strategies tailored for WECs, with a focus on understanding and improving the models used for dynamic prediction within the control loop.